%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.13", %%% date = "12 August 2013", %%% time = "17:35:48 MDT", %%% filename = "stoc2000.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "62007 15882 73886 726197", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "ACM Symposium on Theory of Computing (STOC)", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a COMPLETE bibliography of %%% publications in the ACM Symposium on Theory %%% of Computing (STOC) conference proceedings %%% for the decade 2000--2009. Companion %%% bibliographies stoc19xx.bib and stoc20xx.bib %%% cover other decades, and stoc.bib contains %%% entries for just the proceedings volumes %%% themselves. %%% %%% There is a World-Wide Web site for these %%% publications at %%% %%% http://www.acm.org/pubs/contents/proceedings/series/stoc/ %%% %%% At version 2.13, the year coverage looked %%% like this: %%% %%% 2000 ( 86) 2004 ( 74) 2008 ( 86) %%% 2001 ( 87) 2005 ( 86) 2009 ( 80) %%% 2002 ( 93) 2006 ( 80) 2010 ( 2) %%% 2003 ( 81) 2007 ( 79) %%% %%% InProceedings: 823 %%% Proceedings: 11 %%% %%% Total entries: 834 %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== @Preamble{ "\ifx \ocirc \undefined \def \ocirc #1{{\accent'27#1}}\fi" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb= "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"} %%% ==================================================================== %%% Publisher abbreviations: @String{pub-ACM= "ACM Press"} @String{pub-ACM:adr= "New York, NY, USA"} %%% ==================================================================== %%% Bibliography entries: @InProceedings{Impagliazzo:2000:EPR, author = "Russell Impagliazzo and Ronen Shaltiel and Avi Wigderson", title = "Extractors and pseudo-random generators with optimal seed length", crossref = "ACM:2000:PTS", pages = "1--10", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p1-impagliazzo/p1-impagliazzo.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p1-impagliazzo/", acknowledgement = ack-nhfb, } @InProceedings{Naor:2000:PRF, author = "Moni Naor and Omer Reingold and Alon Rosen", title = "Pseudo-random functions and factoring (extended abstract)", crossref = "ACM:2000:PTS", pages = "11--20", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p11-naor/p11-naor.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p11-naor/", acknowledgement = ack-nhfb, } @InProceedings{Gutierrez:2000:SEF, author = "Claudio Guti{\'e}rrez", title = "Satisfiability of equations in free groups is in {PSPACE}", crossref = "ACM:2000:PTS", pages = "21--27", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p21-gutierrez/p21-gutierrez.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p21-gutierrez/", acknowledgement = ack-nhfb, } @InProceedings{Achlioptas:2000:SVT, author = "Dimitris Achlioptas", title = "Setting 2 variables at a time yields a new lower bound for random {3-SAT} (extended abstract)", crossref = "ACM:2000:PTS", pages = "28--37", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p28-achlioptas/p28-achlioptas.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p28-achlioptas/", acknowledgement = ack-nhfb, } @InProceedings{Czumaj:2000:NAA, author = "Artur Czumaj and Christian Scheideler", title = "A new algorithm approach to the general {Lov{\'a}sz} local lemma with applications to scheduling and satisfiability problems (extended abstract)", crossref = "ACM:2000:PTS", pages = "38--47", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p38-czumaj/p38-czumaj.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p38-czumaj/", acknowledgement = ack-nhfb, } @InProceedings{Gurvits:2000:DPT, author = "Leonid Gurvits and Alex Samorodnitsky", title = "A deterministic polynomial-time algorithm for approximating mixed discriminant and mixed volume", crossref = "ACM:2000:PTS", pages = "48--57", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p48-gurvits/p48-gurvits.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p48-gurvits/", acknowledgement = ack-nhfb, } @InProceedings{Carr:2000:RME, author = "Robert Carr and Santosh Vempala", title = "Randomized metarounding (extended abstract)", crossref = "ACM:2000:PTS", pages = "58--62", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p58-carr/p58-carr.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p58-carr/", acknowledgement = ack-nhfb, } @InProceedings{Grohe:2000:ITE, author = "Martin Grohe", title = "Isomorphism testing for embeddable graphs through definability", crossref = "ACM:2000:PTS", pages = "63--72", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p63-grohe/p63-grohe.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p63-grohe/", acknowledgement = ack-nhfb, } @InProceedings{Kabanets:2000:CMP, author = "Valentine Kabanets and Jin-Yi Cai", title = "Circuit minimization problem", crossref = "ACM:2000:PTS", pages = "73--79", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p73-kabanets/p73-kabanets.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p73-kabanets/", acknowledgement = ack-nhfb, } @InProceedings{Katz:2000:ELD, author = "Jonathan Katz and Luca Trevisan", title = "On the efficiency of local decoding procedures for error-correcting codes", crossref = "ACM:2000:PTS", pages = "80--86", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p80-katz/p80-katz.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p80-katz/", acknowledgement = ack-nhfb, } @InProceedings{Istrail:2000:SMT, author = "Sorin Istrail", title = "Statistical mechanics, three-dimensionality and {NP-completeness}: {I. Universality} of intracatability for the partition function of the {Ising} model across non-planar surfaces (extended abstract)", crossref = "ACM:2000:PTS", pages = "87--96", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p87-istrail/p87-istrail.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p87-istrail/", acknowledgement = ack-nhfb, } @InProceedings{Iwata:2000:CSP, author = "Satoru Iwata and Lisa Fleischer and Satoru Fujishige", title = "A combinatorial, strongly polynomial-time algorithm for minimizing submodular functions", crossref = "ACM:2000:PTS", pages = "97--106", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p97-iwata/p97-iwata.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p97-iwata/", acknowledgement = ack-nhfb, } @InProceedings{Fleischer:2000:IAS, author = "Lisa Fleischer and Satoru Iwata", title = "Improved algorithms for submodular function minimization and submodular flow", crossref = "ACM:2000:PTS", pages = "107--116", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p107-fleischer/p107-fleischer.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p107-fleischer/", acknowledgement = ack-nhfb, } @InProceedings{Vygen:2000:DMC, author = "Jens Vygen", title = "On dual minimum cost flow algorithms (extended abstract)", crossref = "ACM:2000:PTS", pages = "117--125", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p117-vygen/p117-vygen.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p117-vygen/", acknowledgement = ack-nhfb, } @InProceedings{Papadimitriou:2000:ATS, author = "Christos H. Papadimitriou and Santosh Vempala", title = "On the approximability of the traveling salesman problem (extended abstract)", crossref = "ACM:2000:PTS", pages = "126--133", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p126-papadimitriou/p126-papadimitriou.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p126-papadimitriou/", acknowledgement = ack-nhfb, } @InProceedings{Feige:2000:ADN, author = "Uriel Feige and Magn{\'u}s M. Halld{\'o}rsson and Guy Kortsarz", title = "Approximating the domatic number", crossref = "ACM:2000:PTS", pages = "134--143", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p134-feige/p134-feige.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p134-feige/", acknowledgement = ack-nhfb, } @InProceedings{Srinivasan:2000:VSI, author = "Aravind Srinivasan", title = "The value of strong inapproximability results for clique", crossref = "ACM:2000:PTS", pages = "144--152", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p144-srinivasan/p144-srinivasan.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p144-srinivasan/", acknowledgement = ack-nhfb, } @InProceedings{Adler:2000:CUE, author = "Micah Adler and Tom Leighton", title = "Compression using efficient multicasting", crossref = "ACM:2000:PTS", pages = "153--162", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p153-adler/p153-adler.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p153-adler/", acknowledgement = ack-nhfb, } @InProceedings{Kleinberg:2000:SWP, author = "Jon Kleinberg", title = "The small-world phenomenon: an algorithm perspective", crossref = "ACM:2000:PTS", pages = "163--170", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p163-kleinberg/p163-kleinberg.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p163-kleinberg/", acknowledgement = ack-nhfb, } @InProceedings{Aiello:2000:RGM, author = "William Aiello and Fan Chung and Linyuan Lu", title = "A random graph model for massive graphs", crossref = "ACM:2000:PTS", pages = "171--180", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p171-aiello/p171-aiello.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p171-aiello/", acknowledgement = ack-nhfb, } @InProceedings{Guruswami:2000:LDA, author = "Venkatesan Guruswami and Madhu Sudan", title = "List decoding algorithms for certain concatenated codes", crossref = "ACM:2000:PTS", pages = "181--190", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p181-guruswami/p181-guruswami.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p181-guruswami/", acknowledgement = ack-nhfb, } @InProceedings{Samorodnitsky:2000:PCN, author = "Alex Samorodnitsky and Luca Trevisan", title = "A {PCP} characterization of {NP} with optimal amortized query complexity", crossref = "ACM:2000:PTS", pages = "191--199", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p191-samorodnitsky/p191-samorodnitsky.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p191-samorodnitsky/", acknowledgement = ack-nhfb, } @InProceedings{Vadhan:2000:TIP, author = "Salil Vadhan", title = "On transformation of interactive proofs that preserve the prover's complexity", crossref = "ACM:2000:PTS", pages = "200--207", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p200-vadhan/p200-vadhan.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p200-vadhan/", acknowledgement = ack-nhfb, } @InProceedings{Csirik:2000:SSA, author = "Janos Csirik and David S. Johnson and Claire Kenyon and James B. Orlin and Peter W. Shor and Richard R. Weber", title = "On the sum-of-squares algorithm for bin packing", crossref = "ACM:2000:PTS", pages = "208--217", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p208-csirik/p208-csirik.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p208-csirik/", acknowledgement = ack-nhfb, } @InProceedings{Feigenbaum:2000:SCM, author = "Joan Feigenbaum and Christos Papadimitriou and Scott Shenker", title = "Sharing the cost of muliticast transmissions (preliminary version)", crossref = "ACM:2000:PTS", pages = "218--227", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p218-feigenbaum/p218-feigenbaum.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p218-feigenbaum/", acknowledgement = ack-nhfb, } @InProceedings{Kao:2000:RPP, author = "Ming-Yang Kao and Andreas Nolte and Stephen R. Tate", title = "The risk profile problem for stock portfolio optimization (extended abstract)", crossref = "ACM:2000:PTS", pages = "228--234", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p228-kao/p228-kao.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p228-kao/", acknowledgement = ack-nhfb, } @InProceedings{Canetti:2000:RZK, author = "Ran Canetti and Oded Goldreich and Shafi Goldwasser and Silvio Micali", title = "Resettable zero-knowledge (extended abstract)", crossref = "ACM:2000:PTS", pages = "235--244", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p235-canetti/p235-canetti.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p235-canetti/", acknowledgement = ack-nhfb, } @InProceedings{Katz:2000:CCS, author = "Jonathan Katz and Moti Yung", title = "Complete characterization of security notions for probabilistic private-key encryption", crossref = "ACM:2000:PTS", pages = "245--254", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p245-katz/p245-katz.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p245-katz/", acknowledgement = ack-nhfb, } @InProceedings{DiCrescenzo:2000:ZKP, author = "Giovanni {Di Crescenzo} and Kouichi Sakurai and Moti Yung", title = "On zero-knowledge proofs (extended abstract): ``from membership to decision''", crossref = "ACM:2000:PTS", pages = "255--264", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p255-di_crescenzo/p255-di_crescenzo.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p255-di_crescenzo/", acknowledgement = ack-nhfb, } @InProceedings{Boneh:2000:FSI, author = "Dan Boneh", title = "Finding smooth integers in short intervals using {CRT} decoding", crossref = "ACM:2000:PTS", pages = "265--272", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p265-boneh/p265-boneh.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p265-boneh/", acknowledgement = ack-nhfb, } @InProceedings{Edelsbrunner:2000:SCS, author = "Herbert Edelsbrunner and Xiang-Yang Li and Gary Miller and Andreas Stathopoulos and Dafna Talmor and Shang-Hua Teng and Alper {\"U}ng{\"o}r and Noel Walkington", title = "Smoothing and cleaning up slivers", crossref = "ACM:2000:PTS", pages = "273--277", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p273-edelsbrunner/p273-edelsbrunner.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p273-edelsbrunner/", acknowledgement = ack-nhfb, } @InProceedings{Busch:2000:HPR, author = "Costas Busch and Maurice Herlihy and Roger Wattenhofer", title = "Hard-Potato routing", crossref = "ACM:2000:PTS", pages = "278--285", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p278-busch/p278-busch.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p278-busch/", acknowledgement = ack-nhfb, } @InProceedings{Aleksandrov:2000:AAG, author = "Lyudmil Aleksandrov and Anil Maheshwari and J{\"o}rg-R{\"u}diger Sack", title = "Approximation algorithms for geometric shortest path problems", crossref = "ACM:2000:PTS", pages = "286--295", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p286-aleksandrov/p286-aleksandrov.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p286-aleksandrov/", acknowledgement = ack-nhfb, } @InProceedings{Even:2000:IAC, author = "Guy Even and Sudipto Guha and Baruch Schieber", title = "Improved approximations of crossings in graph drawings", crossref = "ACM:2000:PTS", pages = "296--305", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p296-even/p296-even.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p296-even/", acknowledgement = ack-nhfb, } @InProceedings{Motwani:2000:DAP, author = "Rajeev Motwani and Rina Panigrahy and Vijay Saraswat and Suresh Ventkatasubramanian", title = "On the decidability of accessibility problems (extended abstract)", crossref = "ACM:2000:PTS", pages = "306--315", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p306-motwani/p306-motwani.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p306-motwani/", acknowledgement = ack-nhfb, } @InProceedings{Kilian:2000:MGC, author = "Joe Kilian", title = "More general completeness theorems for secure two-party computation", crossref = "ACM:2000:PTS", pages = "316--324", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p316-kilian/p316-kilian.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p316-kilian/", acknowledgement = ack-nhfb, } @InProceedings{Cramer:2000:CVS, author = "Ronald Cramer and Ivan Damg{\aa}rd and Stefan Dziembowski", title = "On the complexity of verifiable secret sharing and multiparty computation", crossref = "ACM:2000:PTS", pages = "325--334", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p325-cramer/p325-cramer.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p325-cramer/", acknowledgement = ack-nhfb, } @InProceedings{Andersson:2000:TWC, author = "Arne A. Andersson and Mikkel Thorup", title = "Tight(er) worst-case bounds on dynamic searching and priority queues", crossref = "ACM:2000:PTS", pages = "335--342", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p335-andersson/p335-andersson.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p335-andersson/", acknowledgement = ack-nhfb, } @InProceedings{Thorup:2000:NOF, author = "Mikkel Thorup", title = "Near-optimal fully-dynamic graph connectivity", crossref = "ACM:2000:PTS", pages = "343--350", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p343-thorup/p343-thorup.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p343-thorup/", acknowledgement = ack-nhfb, } @InProceedings{Mahajan:2000:NNA, author = "Meena Mahajan and Kasturi R. Varadarajan", title = "A new {NC-algorithm} for finding a perfect matching in bipartite planar and small genus graphs (extended abstract)", crossref = "ACM:2000:PTS", pages = "351--357", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p351-mahajan/p351-mahajan.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p351-mahajan/", acknowledgement = ack-nhfb, } @InProceedings{Alekhnovich:2000:SCP, author = "Michael Alekhnovich and Eli Ben-Sasson and Alexander A. and Avi Wigderson", title = "Space complexity in propositional calculus", crossref = "ACM:2000:PTS", pages = "358--367", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p358-alekhnovich/p358-alekhnovich.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p358-alekhnovich/", acknowledgement = ack-nhfb, } @InProceedings{Maciel:2000:NPW, author = "Alexis Maciel and Toniann Pitassi and Alan R. Woods", title = "A new proof of the weak pigeonhole principle", crossref = "ACM:2000:PTS", pages = "368--377", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p368-maciel/p368-maciel.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p368-maciel/", acknowledgement = ack-nhfb, } @InProceedings{Harnik:2000:HLB, author = "Danny Harnik and Ran Raz", title = "Higher lower bounds on monotone size", crossref = "ACM:2000:PTS", pages = "378--387", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p378-harnik/p378-harnik.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p378-harnik/", acknowledgement = ack-nhfb, } @InProceedings{Barkol:2000:TBN, author = "Omer Barkol and Yuval Rabani", title = "Tighter bounds for nearest neighbor search and related problems in the cell probe model", crossref = "ACM:2000:PTS", pages = "388--396", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p388-barkol/p388-barkol.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p388-barkol/", acknowledgement = ack-nhfb, } @InProceedings{Grossi:2000:CSA, author = "Roberto Grossi and Jeffrey Scott Vitter", title = "Compressed suffix arrays and suffix trees with applications to text indexing and string matching (extended abstract)", crossref = "ACM:2000:PTS", pages = "397--406", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p397-grossi/p397-grossi.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p397-grossi/", acknowledgement = ack-nhfb, } @InProceedings{Cole:2000:FST, author = "Richard Cole and Ramesh Hariharan", title = "Faster suffix tree construction with missing suffix links", crossref = "ACM:2000:PTS", pages = "407--415", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p407-cole/p407-cole.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p407-cole/", acknowledgement = ack-nhfb, } @InProceedings{Muthukrishnan:2000:ANN, author = "S. Muthukrishnan and S{\"u}leyman Cenk Sahinalp", title = "Approximate nearest neighbors and sequence comparison with block operations", crossref = "ACM:2000:PTS", pages = "416--424", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p416-muthukrishnan/p416-muthukrishnan.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p416-muthukrishnan/", acknowledgement = ack-nhfb, } @InProceedings{Li:2000:NOM, author = "Ming Li and Bin Ma and Lusheng Wang", title = "Near optimal multiple alignment within a band in polynomial time", crossref = "ACM:2000:PTS", pages = "425--434", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p425-li/p425-li.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p425-li/", acknowledgement = ack-nhfb, } @InProceedings{Blum:2000:NTL, author = "Avrim Blum and Adam Kalai and Hal Wasserman", title = "Noise-tolerant learning, the parity problem, and the statistical query model", crossref = "ACM:2000:PTS", pages = "435--440", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p435-blum/p435-blum.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p435-blum/", acknowledgement = ack-nhfb, } @InProceedings{Goldsmith:2000:MTR, author = "Judy Goldsmith and Robert H. Sloan", title = "More theory revision with queries (extended abstract)", crossref = "ACM:2000:PTS", pages = "441--448", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p441-goldsmith/p441-goldsmith.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p441-goldsmith/", acknowledgement = ack-nhfb, } @InProceedings{Buhrman:2000:BO, author = "H. Buhrman and P. B. Miltersen and J. Radhakrishnan and S. Venkatesh", title = "Are bitvectors optimal?", crossref = "ACM:2000:PTS", pages = "449--458", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p449-buhrman/p449-buhrman.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p449-buhrman/", acknowledgement = ack-nhfb, } @InProceedings{Rothemund:2000:PSC, author = "Paul W. K. Rothemund and Erik Winfree", title = "The program-size complexity of self-assembled squares (extended abstract)", crossref = "ACM:2000:PTS", pages = "459--468", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p459-rothemund/p459-rothemund.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p459-rothemund/", acknowledgement = ack-nhfb, } @InProceedings{Chen:2000:SPQ, author = "Danny Z. Chen and Jinhui Xu", title = "Shortest path queries in planar graphs", crossref = "ACM:2000:PTS", pages = "469--478", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p469-chen/p469-chen.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p469-chen/", acknowledgement = ack-nhfb, } @InProceedings{Reed:2000:HTT, author = "Bruce Reed", title = "How tall is a tree?", crossref = "ACM:2000:PTS", pages = "479--483", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p479-reed/p479-reed.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p479-reed/", acknowledgement = ack-nhfb, } @InProceedings{Fagin:2000:RWB, author = "Ronald Fagin and Anna R. Karlin and Jon Kleinberg and Prabhakar Raghavan and Sridhar Rajagopalan and Ronitt Rubinfeld and Madhu Sudan and Andrew Tomkins", title = "Random walks with ``back buttons'' (extended abstract)", crossref = "ACM:2000:PTS", pages = "484--493", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p484-fagin/p484-fagin.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p484-fagin/", acknowledgement = ack-nhfb, } @InProceedings{Fitzi:2000:PCG, author = "Mattias Fitzi and Ueli Maurer", title = "From partial consistency to global broadcast", crossref = "ACM:2000:PTS", pages = "494--503", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p494-fitzi/p494-fitzi.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p494-fitzi/", acknowledgement = ack-nhfb, } @InProceedings{Kempe:2000:CIP, author = "David Kempe and Jon Kleinberg and Amit Kumar", title = "Connectivity and inference problems for temporal networks", crossref = "ACM:2000:PTS", pages = "504--513", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p504-kempe/p504-kempe.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p504-kempe/", acknowledgement = ack-nhfb, } @InProceedings{Rasala:2000:SNB, author = "April Rasala and Gordon Wilfong", title = "Strictly non-blocking {WDM} cross-connects for heterogeneous networks", crossref = "ACM:2000:PTS", pages = "514--523", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p514-rasala/p514-rasala.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p514-rasala/", acknowledgement = ack-nhfb, } @InProceedings{Feder:2000:FLP, author = "Tomas Feder and Rajeev Motwani and Carlos Subi", title = "Finding long paths and cycles in sparse {Hamiltonian} graphs", crossref = "ACM:2000:PTS", pages = "524--529", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p524-feder/p524-feder.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p524-feder/", acknowledgement = ack-nhfb, } @InProceedings{Feige:2000:AMB, author = "Uriel Feige and Robert Krauthgamer and Kobbi Nissim", title = "Approximating the minimum bisection size (extended abstract)", crossref = "ACM:2000:PTS", pages = "530--536", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p530-feige/p530-feige.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p530-feige/", acknowledgement = ack-nhfb, } @InProceedings{Konemann:2000:MDI, author = "J. K{\"o}nemann and R. Ravi", title = "A matter of degree: improved approximation algorithms for degree-bounded minimum spanning trees", crossref = "ACM:2000:PTS", pages = "537--546", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p537-konemann/p537-konemann.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p537-konemann/", acknowledgement = ack-nhfb, } @InProceedings{Schulman:2000:CEC, author = "Leonard J. Schulman", title = "Clustering for edge-cost minimization (extended abstract)", crossref = "ACM:2000:PTS", pages = "547--555", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p547-schulman/p547-schulman.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p547-schulman/", acknowledgement = ack-nhfb, } @InProceedings{Fortune:2000:ECI, author = "Steven Fortune", title = "Exact computations of the inertia symmetric integer matrices", crossref = "ACM:2000:PTS", pages = "556--564", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p556-fortune/p556-fortune.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p556-fortune/", acknowledgement = ack-nhfb, } @InProceedings{Orlin:2000:OSB, author = "James B. Orlin and Andreas S. Schulz and Sudipta Sengupta", title = "$ \epsilon $-optimization schemes and {$L$}-bit precision (extended abstract): alternative perspectives in combinatorial optimization", crossref = "ACM:2000:PTS", pages = "565--572", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p565-orlin/p565-orlin.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p565-orlin/", acknowledgement = ack-nhfb, } @InProceedings{Olshevsky:2000:MVP, author = "Vadim Olshevsky and Amin Shokrollahi", title = "Matrix-vector product for confluent {Cauchy}-like matrices with application to confluent rational interpolation", crossref = "ACM:2000:PTS", pages = "573--581", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p573-olshevsky/p573-olshevsky.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p573-olshevsky/", acknowledgement = ack-nhfb, } @InProceedings{Charikar:2000:QSP, author = "Moses Charikar and Ronald Fagin and Venkatesan Guruswami and Jon Kleinberg and Prabhakar Raghavan and Amit Sahai", title = "Query strategies for priced information (extended abstract)", crossref = "ACM:2000:PTS", pages = "582--591", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p582-charikar/p582-charikar.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p582-charikar/", acknowledgement = ack-nhfb, } @InProceedings{Seiden:2000:GGR, author = "Steven S. Seiden", title = "A guessing game and randomized online algorithms", crossref = "ACM:2000:PTS", pages = "592--601", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p592-seiden/p592-seiden.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p592-seiden/", acknowledgement = ack-nhfb, } @InProceedings{Feder:2000:CMU, author = "Tomas Feder and Rajeev Motwani and Rina Panigrahy and Chris Olston and Jennifer Widom", title = "Computing the median with uncertainty", crossref = "ACM:2000:PTS", pages = "602--607", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p602-feder/p602-feder.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p602-feder/", acknowledgement = ack-nhfb, } @InProceedings{Kitaev:2000:PAE, author = "Alexei Kitaev and John Watrous", title = "Parallelization, amplification, and exponential time simulation of quantum interactive proof systems", crossref = "ACM:2000:PTS", pages = "608--617", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p608-kitaev/p608-kitaev.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p608-kitaev/", acknowledgement = ack-nhfb, } @InProceedings{Grover:2000:RST, author = "Lov K. Grover", title = "Rapid sampling though quantum computing", crossref = "ACM:2000:PTS", pages = "618--626", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p618-grover/p618-grover.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p618-grover/", acknowledgement = ack-nhfb, } @InProceedings{Hallgren:2000:NSR, author = "Sean Hallgren and Alexander Russell and Amnon Ta-Shma", title = "Normal subgroup reconstruction and quantum computation using group representations", crossref = "ACM:2000:PTS", pages = "627--635", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p627-hallgren/p627-hallgren.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p627-hallgren/", acknowledgement = ack-nhfb, } @InProceedings{Ambainis:2000:QLB, author = "Andris Ambainis", title = "Quantum lower bounds by quantum arguments", crossref = "ACM:2000:PTS", pages = "636--643", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p636-ambainis/p636-ambainis.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p636-ambainis/", acknowledgement = ack-nhfb, } @InProceedings{Klauck:2000:QPC, author = "Hartmut Klauck", title = "On quantum and probabilistic communication: {Las Vegas} and one-way protocols", crossref = "ACM:2000:PTS", pages = "644--651", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p644-klauck/p644-klauck.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p644-klauck/", acknowledgement = ack-nhfb, } @InProceedings{Gupta:2000:CFA, author = "Anupam Gupta and {\'E}va Tardos", title = "A constant factor approximation algorithm for a class of classification problems", crossref = "ACM:2000:PTS", pages = "652--658", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p652-gupta/p652-gupta.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p652-gupta/", acknowledgement = ack-nhfb, } @InProceedings{Kenyon:2000:PTA, author = "Claire Kenyon and Nicolas Schabanel and Neal Young", title = "Polynomial-time approximation scheme for data broadcast", crossref = "ACM:2000:PTS", pages = "659--666", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p659-kenyon/p659-kenyon.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p659-kenyon/", acknowledgement = ack-nhfb, } @InProceedings{Furer:2000:APC, author = "Martin F{\"u}rer", title = "Approximating permanents of complex matrices", crossref = "ACM:2000:PTS", pages = "667--669", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p667-furer/p667-furer.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p667-furer/", acknowledgement = ack-nhfb, } @InProceedings{Goel:2000:CFT, author = "Ashish Goel and Adam Meyerson and Serge Plotkin", title = "Combining fairness with throughput: online routing with multiple objectives", crossref = "ACM:2000:PTS", pages = "670--679", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p670-goel/p670-goel.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p670-goel/", acknowledgement = ack-nhfb, } @InProceedings{Berman:2000:ITM, author = "Piotr Berman and Bhaskar DasGupta", title = "Improvements in throughout maximization for real-time scheduling", crossref = "ACM:2000:PTS", pages = "680--687", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p680-berman/p680-berman.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p680-berman/", acknowledgement = ack-nhfb, } @InProceedings{vanDam:2000:STU, author = "Wim van Dam and Fr{\'e}d{\'e}ic Magniez and Michele Mosca and Miklos Santha", title = "Self-testing of universal and fault-tolerant sets of quantum gates", crossref = "ACM:2000:PTS", pages = "688--696", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p688-van_dam/p688-van_dam.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p688-van_dam/", acknowledgement = ack-nhfb, } @InProceedings{Ambainis:2000:CHM, author = "Andris Ambainis and Leonard J. Schulman and Umesh V. Vazirani", title = "Computing with highly mixed states (extended abstract)", crossref = "ACM:2000:PTS", pages = "697--704", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p697-ambainis/p697-ambainis.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p697-ambainis/", acknowledgement = ack-nhfb, } @InProceedings{Aharonov:2000:QBE, author = "Dorit Aharonov and Amnon Ta-Shma and Umesh V. Vazirani and Andrew C. Yao", title = "Quantum bit escrow", crossref = "ACM:2000:PTS", pages = "705--714", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p705-aharonov/p705-aharonov.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p705-aharonov/", acknowledgement = ack-nhfb, } @InProceedings{Biham:2000:PSQ, author = "Eli Biham and Michel Boyer and P. Oscar Boykin and Tal Mor and Vwani Roychowdhury", title = "A proof of the security of quantum key distribution (extended abstract)", crossref = "ACM:2000:PTS", pages = "715--724", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p715-biham/p715-biham.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p715-biham/", acknowledgement = ack-nhfb, } @InProceedings{Fiat:2000:BAU, author = "Amos Fiat and Manor Mendel", title = "Better algorithms for unfair metrical task systems and applications", crossref = "ACM:2000:PTS", pages = "725--734", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p725-fiat/p725-fiat.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p725-fiat/", acknowledgement = ack-nhfb, } @InProceedings{Bar-Noy:2000:UAA, author = "Amotz Bar-Noy and Reuven Bar-Yehuda and Ari Freund and Joseph Naor and Baruch Schieber", title = "A unified approach to approximating resource allocation and scheduling", crossref = "ACM:2000:PTS", pages = "735--744", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p735-bar-noy/p735-bar-noy.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p735-bar-noy/", acknowledgement = ack-nhfb, } @InProceedings{Berenbrink:2000:BAH, author = "Petra Berenbrink and Artur Czumaj and Angelika Steger and Berthold V{\"o}cking", title = "Balanced allocations: the heavily loaded case", crossref = "ACM:2000:PTS", pages = "745--754", year = "2000", bibdate = "Wed Feb 20 18:35:45 MST 2002", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/series/stoc/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", URL = "http://www.acm.org/pubs/articles/proceedings/stoc/335305/p745-berenbrink/p745-berenbrink.pdf; http://www.acm.org/pubs/citations/proceedings/stoc/335305/p745-berenbrink/", acknowledgement = ack-nhfb, } @InProceedings{Charikar:2001:CMS, author = "Moses Charikar and Rina Panigrahy", title = "Clustering to minimize the sum of cluster diameters", crossref = "ACM:2001:PAA", pages = "1--10", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bartal:2001:AMS, author = "Yair Bartal and Moses Charikar and Danny Raz", title = "Approximating min-sum $k$-clustering in metric spaces", crossref = "ACM:2001:PAA", pages = "11--20", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Arya:2001:LSH, author = "Vijay Arya and Naveen Garg and Rohit Khandekar and Kamesh Munagala and Vinayaka Pandit", title = "Local search heuristic for $k$-median and facility location problems", crossref = "ACM:2001:PAA", pages = "21--29", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Meyerson:2001:PEF, author = "Adam Meyerson", title = "Profit-earning facility location", crossref = "ACM:2001:PAA", pages = "30--36", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ambainis:2001:ODQ, author = "Andris Ambainis and Eric Bach and Ashwin Nayak and Ashvin Vishwanath and John Watrous", title = "One-dimensional quantum walks", crossref = "ACM:2001:PAA", pages = "37--49", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Aharonov:2001:QWG, author = "Dorit Aharonov and Andris Ambainis and Julia Kempe and Umesh Vazirani", title = "Quantum walks on graphs", crossref = "ACM:2001:PAA", pages = "50--59", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Watrous:2001:QAS, author = "John Watrous", title = "Quantum algorithms for solvable groups", crossref = "ACM:2001:PAA", pages = "60--67", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Grigni:2001:QMA, author = "Michelangelo Grigni and Leonard Schulman and Monica Vazirani and Umesh Vazirani", title = "Quantum mechanical algorithms for the nonabelian hidden subgroup problem", crossref = "ACM:2001:PAA", pages = "68--74", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Tokuyama:2001:MPO, author = "Takeshi Tokuyama", title = "Minimax parametric optimization problems and multi-dimensional parametric searching", crossref = "ACM:2001:PAA", pages = "75--83", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chekuri:2001:AMW, author = "Chandra Chekuri and Sanjeev Khanna and An Zhu", title = "Algorithms for minimizing weighted flow time", crossref = "ACM:2001:PAA", pages = "84--93", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Becchetti:2001:NCS, author = "Luca Becchetti and Stefano Leonardi", title = "Non-clairvoyant scheduling to minimize the average flow time on single and parallel machines", crossref = "ACM:2001:PAA", pages = "94--103", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Roughgarden:2001:SSS, author = "Tim Roughgarden", title = "{Stackelberg} scheduling strategies", crossref = "ACM:2001:PAA", pages = "104--113", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Valiant:2001:QCC, author = "Leslie G. Valiant", title = "Quantum computers that can be simulated classically in polynomial time", crossref = "ACM:2001:PAA", pages = "114--123", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Klauck:2001:IQC, author = "Hartmut Klauck and Ashwin Nayak and Amnon Ta-Shma and David Zuckerman", title = "Interaction in quantum communication and the complexity of set disjointness", crossref = "ACM:2001:PAA", pages = "124--133", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ambainis:2001:NPL, author = "Andris Ambainis", title = "A new protocol and lower bounds for quantum coin flipping", crossref = "ACM:2001:PAA", pages = "134--142", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ta-Shma:2001:LLC, author = "Amnon Ta-Shma and Christopher Umans and David Zuckerman", title = "Loss-less condensers, unbalanced expanders, and extractors", crossref = "ACM:2001:PAA", pages = "143--152", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Mostefaoui:2001:CIV, author = "Achour Mostefaoui and Sergio Rajsbaum and Michel Raynal", title = "Conditions on input vectors for consensus solvability in asynchronous distributed systems", crossref = "ACM:2001:PAA", pages = "153--162", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kempe:2001:SGR, author = "David Kempe and Jon Kleinberg and Alan Demers", title = "Spatial gossip and resource location protocols", crossref = "ACM:2001:PAA", pages = "163--172", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Elkin:2001:EBS, author = "Michael Elkin and David Peleg", title = "$ (1 + \epsilon, \beta) $-spanner constructions for general graphs", crossref = "ACM:2001:PAA", pages = "173--182", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Thorup:2001:ADO, author = "Mikkel Thorup and Uri Zwick", title = "Approximate distance oracles", crossref = "ACM:2001:PAA", pages = "183--192", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ta-Shma:2001:EC, author = "Amnon Ta-Shma and David Zuckerman", title = "Extractor codes", crossref = "ACM:2001:PAA", pages = "193--199", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, xxauthor = "Amnon Ta-Shma and David Zucherman", } @InProceedings{Elkies:2001:ECM, author = "Noam D. Elkies", title = "Excellent codes from modular curves", crossref = "ACM:2001:PAA", pages = "200--208", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Shparlinski:2001:SPA, author = "Igor E. Shparlinski", title = "Sparse polynomial approximation in finite fields", crossref = "ACM:2001:PAA", pages = "209--215", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Klivans:2001:REI, author = "Adam R. Klivans and Daniel Spielman", title = "Randomness efficient identity testing of multivariate polynomials", crossref = "ACM:2001:PAA", pages = "216--223", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Thorup:2001:FDM, author = "Mikkel Thorup", title = "Fully-dynamic min-cut", crossref = "ACM:2001:PAA", pages = "224--230", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Grohe:2001:CCN, author = "Martin Grohe", title = "Computing crossing numbers in quadratic time", crossref = "ACM:2001:PAA", pages = "231--236", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kosaraju:2001:EPS, author = "S. Rao Kosaraju", title = "{Euler} paths in series parallel graphs", crossref = "ACM:2001:PAA", pages = "237--240", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Schaefer:2001:DSG, author = "Marcus Schaefer and Daniel Stefankovic", title = "Decidability of string graphs", crossref = "ACM:2001:PAA", pages = "241--246", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Sanjeev:2001:LMA, author = "Arora Sanjeev and Ravi Kannan", title = "Learning mixtures of arbitrary {Gaussians}", crossref = "ACM:2001:PAA", pages = "247--257", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Klivans:2001:LDT, author = "Adam R. Klivans and Rocco Servedio", title = "Learning {DNF} in time", crossref = "ACM:2001:PAA", pages = "258--265", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bar-Yossef:2001:SAL, author = "Ziv Bar-Yossef and Ravi Kumar and D. Sivakumar", title = "Sampling algorithms: lower bounds and applications", crossref = "ACM:2001:PAA", pages = "266--275", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Parnas:2001:TMP, author = "Michal Parnas and Dana Ron", title = "Testing metric properties", crossref = "ACM:2001:PAA", pages = "276--285", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fischer:2001:TMP, author = "Eldar Fischer and Ilan Newman", title = "Testing of matrix properties", crossref = "ACM:2001:PAA", pages = "286--295", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Spielman:2001:SAA, author = "Daniel Spielman and Shang-Hua Teng", title = "Smoothed analysis of algorithms: why the simplex algorithm usually takes polynomial time", crossref = "ACM:2001:PAA", pages = "296--305", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gartner:2001:OLE, author = "Bernd G{\"a}rtner and J{\'o}zsef Solymosi and Falk Tschirschnitz and Emo Welzl and Pavel Valtr", title = "One line and $ \epsilon $", crossref = "ACM:2001:PAA", pages = "306--315", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Icking:2001:TBC, author = "Christian Icking and Lihong Ha", title = "A tight bound for the complexity of {Voroni} diagrams under polyhedral convex distance functions in {$3$D}", crossref = "ACM:2001:PAA", pages = "316--321", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chazelle:2001:LBI, author = "Bernard Chazelle and Ding Liu", title = "Lower bounds for intersection searching and fractional cascading in higher dimension", crossref = "ACM:2001:PAA", pages = "322--329", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Borgs:2001:STS, author = "Christian Borgs and Jennifer Chayes and Boris Pittel", title = "Sharp threshold and scaling window for the integer partitioning problem", crossref = "ACM:2001:PAA", pages = "330--336", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Achlioptas:2001:STP, author = "Dimitris Achlioptas and Paul Beame and Michael Molloy", title = "A sharp threshold in proof complexity", crossref = "ACM:2001:PAA", pages = "337--346", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Pitassi:2001:RRL, author = "Toniann Pitassi and Ran Raz", title = "Regular resolution lower bounds for the weak pigeonhole principle", crossref = "ACM:2001:PAA", pages = "347--355", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Arai:2001:CAT, author = "Noriko Arai and Toniann Pitassi and Alasdair Urquhart", title = "The complexity of analytic tableaux", crossref = "ACM:2001:PAA", pages = "356--363", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Jain:2001:AAA, author = "Kamal Jain and Vijay Vazirani", title = "Applications of approximation algorithms to cooperative games", crossref = "ACM:2001:PAA", pages = "364--372", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Moss:2001:AAC, author = "Anna Moss and Yuval Rabani", title = "Approximation algorithms for constrained for constrained node weighted {Steiner} tree problems", crossref = "ACM:2001:PAA", pages = "373--382", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Guha:2001:CFA, author = "Sudipto Guha and Adam Meyerson and Kamesh Munagala", title = "A constant factor approximation for the single sink edge installation problems", crossref = "ACM:2001:PAA", pages = "383--388", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gupta:2001:PVP, author = "Anupam Gupta and Jon Kleinberg and Amit Kumar and Rajeev Rastogi and Bulent Yener", title = "Provisioning a virtual private network: a network design problem for multicommodity flow", crossref = "ACM:2001:PAA", pages = "389--398", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Lachish:2001:ELB, author = "Oded Lachish and Ran Raz", title = "Explicit lower bound of $ 4.5 n - o(n) $ for {Boolean} circuits", crossref = "ACM:2001:PAA", pages = "399--408", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Raz:2001:LBM, author = "Ran Raz and Amir Shpilka", title = "Lower bounds for matrix product, in bounded depth circuits with arbitrary gates", crossref = "ACM:2001:PAA", pages = "409--418", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bollig:2001:ROB, author = "Beate Bollig and Philipp Woelfel", title = "A read-once branching program lower bound of {$ \Omega (2^{n / 4}) $} for integer multiplication using universal", crossref = "ACM:2001:PAA", pages = "419--424", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Pagh:2001:CPC, author = "Rasmus Pagh", title = "On the cell probe complexity of membership and perfect hashing", crossref = "ACM:2001:PAA", pages = "425--432", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Feige:2001:IRS, author = "Uriel Feige and Gideon Schechtman", title = "On the integrality ratio of semidefinite relaxations of {MAX CUT}", crossref = "ACM:2001:PAA", pages = "433--442", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Goemans:2001:AAM, author = "Michel X. Goemans and David Williamson", title = "Approximation algorithms for {MAX-$3$-CUT} and other problems via complex semidefinite programming", crossref = "ACM:2001:PAA", pages = "443--452", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Trevisan:2001:NAR, author = "Luca Trevisan", title = "Non-approximability results for optimization problems on bounded degree instances", crossref = "ACM:2001:PAA", pages = "453--461", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Molloy:2001:CGW, author = "Michael Molloy and Bruce Reed", title = "Colouring graphs when the number of colours is nearly the maximum degree", crossref = "ACM:2001:PAA", pages = "462--470", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Guha:2001:DSH, author = "Sudipto Guha and Nick Koudas and Kyuseok Shim", title = "Data-streams and histograms", crossref = "ACM:2001:PAA", pages = "471--475", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Alstrup:2001:OSR, author = "Stephen Alstrup and Gerth Brodal and Theis Rauhe", title = "Optimal static range reporting in one dimension", crossref = "ACM:2001:PAA", pages = "476--482", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ergun:2001:BDF, author = "Funda Ergun and S. Cenk Sahinalp and Jonathan Sharp and Rakesh Sinha", title = "Biased dictionaries with fast insert\slash deletes", crossref = "ACM:2001:PAA", pages = "483--491", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Naor:2001:APH, author = "Moni Naor and Vanessa Teague", title = "Anti-persistence: history independent data structures", crossref = "ACM:2001:PAA", pages = "492--501", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Karlin:2001:DTA, author = "Anna R. Karlin and Claire Kenyon and Dana Randall", title = "Dynamic {TCP} acknowledgement and other stories about $ e / (e - 1) $", crossref = "ACM:2001:PAA", pages = "502--509", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Mavronicolas:2001:PSR, author = "Marios Mavronicolas and Paul Spirakis", title = "The price of selfish routing", crossref = "ACM:2001:PAA", pages = "510--519", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kesselman:2001:BOM, author = "Alexander Kesselman and Zvi Lotker and Yishay Mansour and Boaz Patt-Shamir and Baruch Schieber and Maxim Sviridenko", title = "Buffer overflow management in {QoS} switches", crossref = "ACM:2001:PAA", pages = "520--529", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Vocking:2001:AOP, author = "Berthold V{\"o}cking", title = "Almost optimal permutation routing on hypercubes", crossref = "ACM:2001:PAA", pages = "530--539", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Jayram:2001:OSA, author = "T. S. Jayram and Tracy Kimbrel and Robert Krauthgamer and Baruch Schieber and Maxim Sviridenko", title = "Online server allocation in a server farm via benefit task systems", crossref = "ACM:2001:PAA", pages = "540--549", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Halevi:2001:PAN, author = "Shai Halevi and Robert Krauthgamer and Eyal Kushilevitz and Kobbi Nissim", title = "Private approximation of {NP}-hard functions", crossref = "ACM:2001:PAA", pages = "550--559", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kilian:2001:CRZ, author = "Joe Kilian and Erez Petrank", title = "Concurrent and resettable zero-knowledge in poly-logarithm rounds", crossref = "ACM:2001:PAA", pages = "560--569", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Canetti:2001:BBC, author = "Ran Canetti and Joe Kilian and Erez Petrank and Alon Rosen", title = "Black-box concurrent zero-knowledge requires {$ \tilde \Omega (\log n) $} rounds", crossref = "ACM:2001:PAA", pages = "570--579", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gennaro:2001:RCV, author = "Rosario Gennaro and Yuval Ishai and Eyal Kushilevitz and Tal Rabin", title = "The round complexity of verifiable secret sharing and secure multicast", crossref = "ACM:2001:PAA", pages = "580--589", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Naor:2001:CPP, author = "Moni Naor and Kobbi Nissim", title = "Communication preserving protocols for secure function evaluation", crossref = "ACM:2001:PAA", pages = "590--599", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Yao:2001:SPC, author = "Andrew Chi-Chih Yao", title = "Some perspectives on computational complexity", crossref = "ACM:2001:PAA", pages = "600--600", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ajtai:2001:SAS, author = "Mikl{\'o}s Ajtai and Ravi Kumar and D. Sivakumar", title = "A sieve algorithm for the shortest lattice vector problem", crossref = "ACM:2001:PAA", pages = "601--610", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Achlioptas:2001:FCL, author = "Dimitris Achlioptas and Frank McSherry", title = "Fast computation of low rank matrix approximations", crossref = "ACM:2001:PAA", pages = "611--618", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Azar:2001:SAD, author = "Yossi Azar and Amos Fiat and Anna Karlin and Frank McSherry and Jared Saia", title = "Spectral analysis of data", crossref = "ACM:2001:PAA", pages = "619--626", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dunagan:2001:OOR, author = "John Dunagan and Santosh Vempala", title = "Optimal outlier removal in high-dimensional", crossref = "ACM:2001:PAA", pages = "627--636", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Wang:2001:ETE, author = "Li-San Wang and Tandy Warnow", title = "Estimating true evolutionary distances between genomes", crossref = "ACM:2001:PAA", pages = "637--646", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Muller-Olm:2001:OSP, author = "Markus M{\"u}ller-Olm and Helmut Seidl", title = "On optimal slicing of parallel programs", crossref = "ACM:2001:PAA", pages = "647--656", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Groher:2001:WEC, author = "Martin Groher and Thomas Schwentick and Luc Segoufin", title = "When is the evaluation of conjunctive queries tractable?", crossref = "ACM:2001:PAA", pages = "657--666", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bulatov:2001:CMC, author = "Andrei Bulatov and Andrei Krokhin and Peter Jeavons", title = "The complexity of maximal constraint languages", crossref = "ACM:2001:PAA", pages = "667--674", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{deAlfaro:2001:QSO, author = "Luca de Alfaro and Rupak Majumdar", title = "Quantitative solution of omega-regular games", crossref = "ACM:2001:PAA", pages = "675--683", year = "2001", DOI = "http://doi.acm.org/10.1145/380752.380871", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Vatan:2001:DFP, author = "Farrokh Vatan", title = "Distribution functions of probabilistic automata", crossref = "ACM:2001:PAA", pages = "684--693", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gacs:2001:CSS, author = "Peter G{\'a}cs", title = "Compatible sequences and a slow {Winkler} percolation", crossref = "ACM:2001:PAA", pages = "694--703", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Montenegro:2001:EIR, author = "Ravi Montenegro and Jung-Bae Son", title = "Edge isoperimetry and rapid mixing on matroids and geometric {Markov} chains", crossref = "ACM:2001:PAA", pages = "704--711", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Jerrum:2001:PTA, author = "Mark Jerrum and Alistair Sinclair and Eric Vigoda", title = "A polynomial-time approximation algorithm for the permanent of a matrix with non-negative entries", crossref = "ACM:2001:PAA", pages = "712--721", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Sima:2001:CCT, author = "Jir{\'\i} {\ocirc{S}}{\'\i}ma and Pekka Orponen", title = "Computing with continuous-time {Liapunov} systems", crossref = "ACM:2001:PAA", pages = "722--731", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Durand:2001:CT, author = "Bruno Durand and Leonid Levin and Alexander Shen", title = "Complex tilings", crossref = "ACM:2001:PAA", pages = "732--739", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Adleman:2001:RTP, author = "Leonard Adleman and Qi Cheng and Ashish Goel and Ming-Deh Huang", title = "Running time and program size for self-assembled squares", crossref = "ACM:2001:PAA", pages = "740--748", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Papadimitriou:2001:AGI, author = "Christos Papadimitriou", title = "Algorithms, games, and the {Internet}", crossref = "ACM:2001:PAA", pages = "749--753", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Trakhtenbrot:2001:ACH, author = "Boris Trakhtenbrot", title = "Automata, circuits and hybrids: facets of continuous time", crossref = "ACM:2001:PAA", pages = "754--755", year = "2001", bibdate = "Wed Feb 20 18:37:27 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Schaefer:2002:RSG, author = "Marcus Schaefer and Eric Sedgwick and Daniel {\v{S}}tefankovi{\v{c}}", title = "Recognizing string graphs in {NP}", crossref = "ACM:2002:PTF", pages = "1--6", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chan:2002:DSC, author = "Timothy M. Chan", title = "Dynamic subgraph connectivity with geometric applications", crossref = "ACM:2002:PTF", pages = "7--13", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Eiter:2002:NRM, author = "Thomas Eiter and Georg Gottlob and Kazuhisa Makino", title = "New results on monotone dualization and generating hypergraph transversals", crossref = "ACM:2002:PTF", pages = "14--22", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Adleman:2002:COP, author = "Len Adleman and Qi Cheng and Ashish Goel and Ming-Deh Huang and David Kempe and Pablo Moisset de Espan{\'e}s and Paul Wilhelm Karl Rothemund", title = "Combinatorial optimization problems in self-assembly", crossref = "ACM:2002:PTF", pages = "23--32", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dinur:2002:IBB, author = "Irit Dinur and Shmuel Safra", title = "The importance of being biased", crossref = "ACM:2002:PTF", pages = "33--42", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Haastad:2002:ARA, author = "Johan H{\aa}stad and S. Venkatesh", title = "On the advantage over a random assignment", crossref = "ACM:2002:PTF", pages = "43--52", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Goldberg:2002:CCC, author = "Leslie Ann Goldberg and Steven Kelk and Mike Paterson", title = "The complexity of choosing an {$H$}-colouring (nearly) uniformly at random", crossref = "ACM:2002:PTF", pages = "53--62", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Karger:2002:RSR, author = "David R. Karger and Matthew S. Levine", title = "Random sampling in residual graphs", crossref = "ACM:2002:PTF", pages = "63--66", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Deng:2002:CE, author = "Xiaotie Deng and Christos Papadimitriou and Shmuel Safra", title = "On the complexity of equilibria", crossref = "ACM:2002:PTF", pages = "67--71", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fiat:2002:CGA, author = "Amos Fiat and Andrew V. Goldberg and Jason D. Hartline and Anna R. Karlin", title = "Competitive generalized auctions", crossref = "ACM:2002:PTF", pages = "72--81", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Drineas:2002:CRS, author = "Petros Drineas and Iordanis Kerenidis and Prabhakar Raghavan", title = "Competitive recommendation systems", crossref = "ACM:2002:PTF", pages = "82--90", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Molloy:2002:GDC, author = "Michael Molloy", title = "The {Glauber} dynamics on colourings of a graph with high girth and maximum degree", crossref = "ACM:2002:PTF", pages = "91--98", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gacs:2002:CSR, author = "Peter G{\'a}cs", title = "Clairvoyant scheduling of random walks", crossref = "ACM:2002:PTF", pages = "99--108", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bertsimas:2002:SCP, author = "Dimitris Bertsimas and Santosh Vempala", title = "Solving convex programs by random walks", crossref = "ACM:2002:PTF", pages = "109--115", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Papadimitriou:2002:JT, author = "Christos H. Papadimitriou", title = "The {Joy of Theory}", crossref = "ACM:2002:PTF", pages = "116--116", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Baswana:2002:IDA, author = "Surender Baswana and Ramesh Hariharan and Sandeep Sen", title = "Improved decremental algorithms for maintaining transitive closure and all-pairs shortest paths", crossref = "ACM:2002:PTF", pages = "117--123", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kontogiannis:2002:LBC, author = "Spyros Kontogiannis", title = "Lower bounds \& competitive algorithms for online scheduling of unit-size tasks to related machines", crossref = "ACM:2002:PTF", pages = "124--133", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Albers:2002:ROS, author = "Susanne Albers", title = "On randomized online scheduling", crossref = "ACM:2002:PTF", pages = "134--143", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Raz:2002:CMP, author = "Ran Raz", title = "On the complexity of matrix product", crossref = "ACM:2002:PTF", pages = "144--151", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gilbert:2002:NOS, author = "A. C. Gilbert and S. Guha and P. Indyk and S. Muthukrishnan and M. Strauss", title = "Near-optimal sparse {Fourier} representations via sampling", crossref = "ACM:2002:PTF", pages = "152--161", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Arora:2002:FAC, author = "Sanjeev Arora and Subhash Khot", title = "Fitting algebraic curves to noisy data", crossref = "ACM:2002:PTF", pages = "162--169", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Scharbrodt:2002:NAC, author = "Mark Scharbrodt and Thomas Schickinger and Angelika Steger", title = "A new average case analysis for completion time scheduling", crossref = "ACM:2002:PTF", pages = "170--178", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chan:2002:UAH, author = "Wun-Tat Chan and Tak-Wah Lam and Hing-Fung Ting and Wai-Ha Wong", title = "A unified analysis of hot video schedulers", crossref = "ACM:2002:PTF", pages = "179--188", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Srinivasan:2002:ORB, author = "Anand Srinivasan and James H. Anderson", title = "Optimal rate-based scheduling on multiprocessors", crossref = "ACM:2002:PTF", pages = "189--198", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Achlioptas:2002:AAG, author = "Dimitris Achlioptas and Cristopher Moore", title = "Almost all graphs with average degree $4$ are $3$-colorable", crossref = "ACM:2002:PTF", pages = "199--208", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Molloy:2002:MTR, author = "Michael Molloy", title = "Models and thresholds for random constraint satisfaction problems", crossref = "ACM:2002:PTF", pages = "209--217", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Smyth:2002:RIT, author = "Clifford Smyth", title = "{Reimer}'s inequality and {Tardos}' conjecture", crossref = "ACM:2002:PTF", pages = "218--221", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chien:2002:CAA, author = "Steve Chien and Lars Rasmussen and Alistair Sinclair", title = "{Clifford} algebras and approximating the permanent", crossref = "ACM:2002:PTF", pages = "222--231", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Alon:2002:RSA, author = "Noga Alon and W. Fernandez de la Vega and Ravi Kannan and Marek Karpinski", title = "Random sampling and approximation of {MAX-CSP} problems", crossref = "ACM:2002:PTF", pages = "232--239", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cryan:2002:PTA, author = "Mary Cryan and Martin Dyer", title = "A polynomial-time algorithm to approximately count contingency tables when the number of rows is constant", crossref = "ACM:2002:PTF", pages = "240--249", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Badoiu:2002:ACC, author = "Mihai B{\u{a}}doiu and Sariel Har-Peled and Piotr Indyk", title = "Approximate clustering via core-sets", crossref = "ACM:2002:PTF", pages = "250--257", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Albers:2002:PLR, author = "Susanne Albers and Lene M. Favrholdt and Oliver Giel", title = "On paging with locality of reference", crossref = "ACM:2002:PTF", pages = "258--267", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Arge:2002:COP, author = "Lars Arge and Michael A. Bender and Erik D. Demaine and Bryan Holland-Minkley and J. Ian Munro", title = "Cache-oblivious priority queue and graph algorithm applications", crossref = "ACM:2002:PTF", pages = "268--276", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bachmat:2002:ACA, author = "E. Bachmat", title = "Average case analysis for batched disk scheduling and increasing subsequences", crossref = "ACM:2002:PTF", pages = "277--286", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Czumaj:2002:STA, author = "Artur Czumaj and Piotr Krysta and Berthold V{\"o}cking", title = "Selfish traffic allocation for server farms", crossref = "ACM:2002:PTF", pages = "287--296", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chekuri:2002:ASP, author = "Chandra Chekuri and Sanjeev Khanna", title = "Approximation schemes for preemptive weighted flow time", crossref = "ACM:2002:PTF", pages = "297--305", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cheriyan:2002:AAM, author = "Joseph Cheriyan and Santosh Vempala and Adrian Vetta", title = "Approximation algorithms for minimum-cost $k$-vertex connected subgraphs", crossref = "ACM:2002:PTF", pages = "306--312", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Jain:2002:ECA, author = "Kamal Jain and Vijay V. Vazirani", title = "Equitable cost allocations via primal-dual-type algorithms", crossref = "ACM:2002:PTF", pages = "313--321", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dwork:2002:RZK, author = "Cynthia Dwork and Larry Stockmeyer", title = "2-round zero knowledge and proof auditors", crossref = "ACM:2002:PTF", pages = "322--331", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Goldreich:2002:CZK, author = "Oded Goldreich", title = "Concurrent zero-knowledge with timing, revisited", crossref = "ACM:2002:PTF", pages = "332--340", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dziembowski:2002:TSP, author = "Stefan Dziembowski and Ueli Maurer", title = "Tight security proofs for the bounded-storage model", crossref = "ACM:2002:PTF", pages = "341--350", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Khot:2002:HRA, author = "Subhash Khot", title = "Hardness results for approximate hypergraph coloring", crossref = "ACM:2002:PTF", pages = "351--359", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Saks:2002:SLB, author = "Michael Saks and Xiaodong Sun", title = "Space lower bounds for distance approximation in the data stream model", crossref = "ACM:2002:PTF", pages = "360--369", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ajtai:2002:ACI, author = "Mikl{\'o}s Ajtai and T. S. Jayram and Ravi Kumar and D. Sivakumar", title = "Approximate counting of inversions in a data stream", crossref = "ACM:2002:PTF", pages = "370--379", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Charikar:2002:SET, author = "Moses S. Charikar", title = "Similarity estimation techniques from rounding algorithms", crossref = "ACM:2002:PTF", pages = "380--388", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gilbert:2002:FSS, author = "Anna C. Gilbert and Sudipto Guha and Piotr Indyk and Yannis Kotidis and S. Muthukrishnan and Martin J. Strauss", title = "Fast, small-space algorithms for approximate histogram maintenance", crossref = "ACM:2002:PTF", pages = "389--398", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Anshelevich:2002:SLB, author = "Elliot Anshelevich and David Kempe and Jon Kleinberg", title = "Stability of load balancing algorithms in dynamic adversarial systems", crossref = "ACM:2002:PTF", pages = "399--406", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Adler:2002:TPP, author = "Micah Adler", title = "Tradeoffs in probabilistic packet marking for {IP} traceback", crossref = "ACM:2002:PTF", pages = "407--418", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cooper:2002:CWG, author = "Colin Cooper and Alan Frieze", title = "Crawling on {Web} graphs", crossref = "ACM:2002:PTF", pages = "419--427", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Roughgarden:2002:PAI, author = "Tim Roughgarden", title = "The price of anarchy is independent of the network topology", crossref = "ACM:2002:PTF", pages = "428--437", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Elkin:2002:CLA, author = "Michael Elkin and Guy Kortsarz", title = "Combinatorial logarithmic approximation algorithm for directed telephone broadcast problem", crossref = "ACM:2002:PTF", pages = "438--447", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Alekhnovich:2002:ESB, author = "Michael Alekhnovich and Jan Johannsen and Toniann Pitassi and Alasdair Urquhart", title = "An exponential separation between regular and general resolution", crossref = "ACM:2002:PTF", pages = "448--456", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ben-Sasson:2002:SST, author = "Eli Ben-Sasson", title = "Size space tradeoffs for resolution", crossref = "ACM:2002:PTF", pages = "457--464", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Hellerstein:2002:ELD, author = "Lisa Hellerstein and Vijay Raghavan", title = "Exact learning of {DNF} formulas using {DNF} hypotheses", crossref = "ACM:2002:PTF", pages = "465--473", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fischer:2002:MTG, author = "Eldar Fischer and Eric Lehman and Ilan Newman and Sofya Raskhodnikova and Ronitt Rubinfeld and Alex Samorodnitsky", title = "Monotonicity testing over general poset domains", crossref = "ACM:2002:PTF", pages = "474--483", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Barak:2002:SPT, author = "Boaz Barak and Yehuda Lindell", title = "Strict polynomial-time in simulation and extraction", crossref = "ACM:2002:PTF", pages = "484--493", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Canetti:2002:UCT, author = "Ran Canetti and Yehuda Lindell and Rafail Ostrovsky and Amit Sahai", title = "Universally composable two-party and multi-party secure computation", crossref = "ACM:2002:PTF", pages = "494--503", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ajtai:2002:ILM, author = "Mikl{\'o}s Ajtai", title = "The invasiveness of off-line memory checking", crossref = "ACM:2002:PTF", pages = "504--513", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Lindell:2002:CAB, author = "Yehuda Lindell and Anna Lysyanskaya and Tal Rabin", title = "On the composition of authenticated {Byzantine} agreement", crossref = "ACM:2002:PTF", pages = "514--523", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Aspnes:2002:WFC, author = "James Aspnes and Gauri Shah and Jatin Shah", title = "Wait-free consensus with infinite arrivals", crossref = "ACM:2002:PTF", pages = "524--533", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Feige:2002:RBA, author = "Uriel Feige", title = "Relations between average case complexity and approximation complexity", crossref = "ACM:2002:PTF", pages = "534--543", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Holmerin:2002:VCR, author = "Jonas Holmerin", title = "Vertex cover on $4$-regular hyper-graphs is hard to approximate within $ 2 - \epsilon $", crossref = "ACM:2002:PTF", pages = "544--552", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Raz:2002:RLB, author = "Ran Raz", title = "Resolution lower bounds for the weak pigeonhole principle", crossref = "ACM:2002:PTF", pages = "553--562", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ben-Sasson:2002:HEB, author = "Eli Ben-Sasson", title = "Hard examples for bounded depth {Frege}", crossref = "ACM:2002:PTF", pages = "563--572", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kaplan:2002:MHB, author = "Haim Kaplan and Nira Shafrir and Robert E. Tarjan", title = "Meldable heaps and {Boolean} union-find", crossref = "ACM:2002:PTF", pages = "573--582", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Brodal:2002:OFS, author = "Gerth St{\o}lting Brodal and George Lagogiannis and Christos Makris and Athanasios Tsakalidis and Kostas Tsichlas", title = "Optimal finger search trees in the pointer machine", crossref = "ACM:2002:PTF", pages = "583--591", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cole:2002:VCM, author = "Richard Cole and Ramesh Hariharan", title = "Verifying candidate matches in sparse and wildcard matching", crossref = "ACM:2002:PTF", pages = "592--601", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Han:2002:DST, author = "Yijie Han", title = "Deterministic sorting in {$ O(n \log \log n) $} time and linear space", crossref = "ACM:2002:PTF", pages = "602--608", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Micciancio:2002:ICH, author = "Daniele Micciancio", title = "Improved cryptographic hash functions with worst-case\slash average-case connection", crossref = "ACM:2002:PTF", pages = "609--618", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Sivakumar:2002:ADC, author = "D. Sivakumar", title = "Algorithmic derandomization via complexity theory", crossref = "ACM:2002:PTF", pages = "619--626", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Umans:2002:PRG, author = "Christopher Umans", title = "Pseudo-random generators for all hardnesses", crossref = "ACM:2002:PTF", pages = "627--634", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Aaronson:2002:QLB, author = "Scott Aaronson", title = "Quantum lower bound for the collision problem", crossref = "ACM:2002:PTF", pages = "635--642", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Crepeau:2002:SMP, author = "Claude Cr{\'e}peau and Daniel Gottesman and Adam Smith", title = "Secure multi-party quantum computation", crossref = "ACM:2002:PTF", pages = "643--652", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Hallgren:2002:PTQ, author = "Sean Hallgren", title = "Polynomial-time quantum algorithms for {Pell}'s equation and the principal ideal problem", crossref = "ACM:2002:PTF", pages = "653--658", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Capalbo:2002:RCC, author = "Michael Capalbo and Omer Reingold and Salil Vadhan and Avi Wigderson", title = "Randomness conductors and constant-degree lossless expanders", crossref = "ACM:2002:PTF", pages = "659--668", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Meshulam:2002:ESC, author = "Roy Meshulam and Avi Wigderson", title = "Expanders from symmetric codes", crossref = "ACM:2002:PTF", pages = "669--677", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Batu:2002:CAE, author = "Tu{\u{g}}kan Batu and Sanjoy Dasgupta and Ravi Kumar and Ronitt Rubinfeld", title = "The complexity of approximating entropy", crossref = "ACM:2002:PTF", pages = "678--687", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Beame:2002:TST, author = "Paul Beame and Erik Vee", title = "Time-space tradeoffs, multiparty communication complexity, and nearest-neighbor problems", crossref = "ACM:2002:PTF", pages = "688--697", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Nayak:2002:CEA, author = "Ashwin Nayak and Julia Salzman", title = "On communication over an entanglement-assisted quantum channel", crossref = "ACM:2002:PTF", pages = "698--704", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Linial:2002:GED, author = "Nathan Linial and Avner Magen and Assaf Naor", title = "Girth and {Euclidean} distortion", crossref = "ACM:2002:PTF", pages = "705--711", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Basu:2002:CBN, author = "Saugata Basu", title = "Computing the {Betti} numbers of arrangements", crossref = "ACM:2002:PTF", pages = "712--720", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Arya:2002:SEA, author = "Sunil Arya and Theocharis Malamatos and David M. Mount", title = "Space-efficient approximate {Voronoi} diagrams", crossref = "ACM:2002:PTF", pages = "721--730", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Jain:2002:NGA, author = "Kamal Jain and Mohammad Mahdian and Amin Saberi", title = "A new greedy approach for facility location problems", crossref = "ACM:2002:PTF", pages = "731--740", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Karger:2002:FNN, author = "David R. Karger and Matthias Ruhl", title = "Finding nearest neighbors in growth-restricted metrics", crossref = "ACM:2002:PTF", pages = "741--750", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{ODonnell:2002:HAW, author = "Ryan O'Donnell", title = "Hardness amplification within {NP}", crossref = "ACM:2002:PTF", pages = "751--760", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Agol:2002:MKG, author = "Ian Agol and Joel Hass and William Thurston", title = "3-manifold knot genus is {NP}-complete", crossref = "ACM:2002:PTF", pages = "761--766", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Khot:2002:PUP, author = "Subhash Khot", title = "On the power of unique $2$-prover $1$-round games", crossref = "ACM:2002:PTF", pages = "767--775", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Jackson:2002:LBA, author = "Jeffrey C. Jackson and Adam R. Klivans and Rocco A. Servedio", title = "Learnability beyond {AC}$^0$", crossref = "ACM:2002:PTF", pages = "776--784", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Golin:2002:HCU, author = "Mordecai J. Golin and Claire Kenyon and Neal E. Young", title = "{Huffman} coding with unequal letter costs", crossref = "ACM:2002:PTF", pages = "785--791", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Charikar:2002:ASG, author = "Moses Charikar and Eric Lehman and Ding Liu and Rina Panigrahy and Manoj Prabhakaran and April Rasala and Amit Sahai and Abhi Shelat", title = "Approximating the smallest grammar: {Kolmogorov} complexity in natural models", crossref = "ACM:2002:PTF", pages = "792--801", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Guruswami:2002:LLD, author = "Venkatesan Guruswami", title = "Limits to list decodability of linear codes", crossref = "ACM:2002:PTF", pages = "802--811", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Guruswami:2002:NOL, author = "Venkatesan Guruswami and Piotr Indyk", title = "Near-optimal linear-time codes for unique decoding and new list-decodable codes over smaller alphabets", crossref = "ACM:2002:PTF", pages = "812--821", year = "2002", bibdate = "Tue Jan 13 06:21:05 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Friedl:2003:HTO, author = "Katalin Friedl and G{\'a}bor Ivanyos and Fr{\'e}d{\'e}ric Magniez and Miklos Santha and Pranab Sen", title = "Hidden translation and orbit coset in quantum computing", crossref = "ACM:2003:PTF", pages = "1--9", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gurvits:2003:CDC, author = "Leonid Gurvits", title = "Classical deterministic complexity of {Edmonds' Problem} and quantum entanglement", crossref = "ACM:2003:PTF", pages = "10--19", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Aharonov:2003:AQS, author = "Dorit Aharonov and Amnon Ta-Shma", title = "Adiabatic quantum state generation and statistical zero knowledge", crossref = "ACM:2003:PTF", pages = "20--29", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Charikar:2003:BSA, author = "Moses Charikar and Liadan O'Callaghan and Rina Panigrahy", title = "Better streaming algorithms for clustering problems", crossref = "ACM:2003:PTF", pages = "30--39", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Plaxton:2003:AAH, author = "C. Greg Plaxton", title = "Approximation algorithms for hierarchical location problems", crossref = "ACM:2003:PTF", pages = "40--49", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{delaVega:2003:ASC, author = "W. Fernandez de la Vega and Marek Karpinski and Claire Kenyon and Yuval Rabani", title = "Approximation schemes for clustering problems", crossref = "ACM:2003:PTF", pages = "50--58", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Childs:2003:EAS, author = "Andrew M. Childs and Richard Cleve and Enrico Deotto and Edward Farhi and Sam Gutmann and Daniel A. Spielman", title = "Exponential algorithmic speedup by a quantum walk", crossref = "ACM:2003:PTF", pages = "59--68", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Klauck:2003:QTS, author = "Hartmut Klauck", title = "Quantum time-space tradeoffs for sorting", crossref = "ACM:2003:PTF", pages = "69--76", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Yao:2003:PQF, author = "Andrew Chi-Chih Yao", title = "On the power of quantum fingerprinting", crossref = "ACM:2003:PTF", pages = "77--81", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Azar:2003:MMQ, author = "Yossi Azar and Yossi Richter", title = "Management of multi-queue switches in {QoS} networks", crossref = "ACM:2003:PTF", pages = "82--89", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Amir:2003:CFA, author = "Eyal Amir and Robert Krauthgamer and Satish Rao", title = "Constant factor approximation of vertex-cuts in planar graphs", crossref = "ACM:2003:PTF", pages = "90--99", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Alon:2003:OSC, author = "Noga Alon and Baruch Awerbuch and Yossi Azar", title = "The online set cover problem", crossref = "ACM:2003:PTF", pages = "100--105", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kerenidis:2003:ELB, author = "Iordanis Kerenidis and Ronald de Wolf", title = "Exponential lower bound for $2$-query locally decodable codes via a quantum argument", crossref = "ACM:2003:PTF", pages = "106--115", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Tardos:2003:OPF, author = "G{\'a}bor Tardos", title = "Optimal probabilistic fingerprint codes", crossref = "ACM:2003:PTF", pages = "116--125", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Guruswami:2003:LTE, author = "Venkatesan Guruswami and Piotr Indyk", title = "Linear time encodable and list decodable codes", crossref = "ACM:2003:PTF", pages = "126--135", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Coppersmith:2003:RCT, author = "Don Coppersmith and Madhu Sudan", title = "Reconstructing curves in three (and higher) dimensional space from noisy data", crossref = "ACM:2003:PTF", pages = "136--142", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kowalik:2003:SPQ, author = "Lukasz Kowalik and Maciej Kurowski", title = "Short path queries in planar graphs in constant time", crossref = "ACM:2003:PTF", pages = "143--148", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Thorup:2003:IPQ, author = "Mikkel Thorup", title = "Integer priority queues with decrease key in constant time and the single source shortest paths problem", crossref = "ACM:2003:PTF", pages = "149--158", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Demetrescu:2003:NAD, author = "Camil Demetrescu and Giuseppe F. Italiano", title = "A new approach to dynamic all pairs shortest paths", crossref = "ACM:2003:PTF", pages = "159--166", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cole:2003:FAC, author = "Richard Cole and Ramesh Hariharan", title = "A fast algorithm for computing {Steiner} edge connectivity", crossref = "ACM:2003:PTF", pages = "167--176", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Rettinger:2003:CCS, author = "Robert Rettinger and Klaus Weihrauch", title = "The computational complexity of some {Julia} sets", crossref = "ACM:2003:PTF", pages = "177--185", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Sauerhoff:2003:TST, author = "Martin Sauerhoff and Philipp Woelfel", title = "Time-space tradeoff lower bounds for integer multiplication and graphs of arithmetic functions", crossref = "ACM:2003:PTF", pages = "186--195", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kalai:2003:BPN, author = "Adam Kalai and Rocco A. Servedio", title = "Boosting in the presence of noise", crossref = "ACM:2003:PTF", pages = "195--205", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Mossel:2003:LJ, author = "Elchanan Mossel and Ryan O'Donnell and Rocco P. Servedio", title = "Learning juntas", crossref = "ACM:2003:PTF", pages = "206--212", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kim:2003:GRR, author = "Jeong Han Kim and Van H. Vu", title = "Generating random regular graphs", crossref = "ACM:2003:PTF", pages = "213--222", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Achlioptas:2003:TRS, author = "Dimitris Achlioptas and Yuval Peres", title = "The threshold for random $k$-{SAT} is {$ 2^k (\ln 2 - O(k)) $}", crossref = "ACM:2003:PTF", pages = "223--231", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Beier:2003:RKE, author = "Rene Beier and Berthold V{\"o}cking", title = "Random knapsack in expected polynomial time", crossref = "ACM:2003:PTF", pages = "232--241", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bansal:2003:SSN, author = "Nikhil Bansal and Kirk Pruhs", title = "Server scheduling in the {$ L_p $} norm: a rising tide lifts all boat", crossref = "ACM:2003:PTF", pages = "242--250", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Georgiou:2003:WCS, author = "Chryssis Georgiou and Alexander Russell and Alex A. Shvartsman", title = "Work-competitive scheduling for cooperative computing with dynamic groups", crossref = "ACM:2003:PTF", pages = "251--258", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fatourou:2003:TTL, author = "Panagiota Fatourou and Faith Fich and Eric Ruppert", title = "A tight time lower bound for space-optimal implementations of multi-writer snapshots", crossref = "ACM:2003:PTF", pages = "259--268", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Hayes:2003:RCG, author = "Thomas P. Hayes", title = "Randomly coloring graphs of girth at least five", crossref = "ACM:2003:PTF", pages = "269--278", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Morris:2003:ESM, author = "Ben Morris and Yuval Peres", title = "Evolving sets and mixing", crossref = "ACM:2003:PTF", pages = "279--286", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bobkov:2003:MLS, author = "Sergey Bobkov and Prasad Tetali", title = "Modified log-{Sobolev} inequalities, mixing and hypercontractivity", crossref = "ACM:2003:PTF", pages = "287--296", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gilbert:2003:FBT, author = "Anna Gilbert and Howard Karloff", title = "On the fractal behavior of {TCP}", crossref = "ACM:2003:PTF", pages = "297--306", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Brodal:2003:LCO, author = "Gerth St{\o}lting Brodal and Rolf Fagerberg", title = "On the limits of cache-obliviousness", crossref = "ACM:2003:PTF", pages = "307--315", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Batu:2003:SAW, author = "Tugkan Batu and Funda Erg{\"u}n and Joe Kilian and Avner Magen and Sofya Raskhodnikova and Ronitt Rubinfeld and Rahul Sami", title = "A sublinear algorithm for weakly approximating edit distance", crossref = "ACM:2003:PTF", pages = "316--324", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{ODonnell:2003:NDB, author = "Ryan O'Donnell and Rocco A. Servedio", title = "New degree bounds for polynomial threshold functions", crossref = "ACM:2003:PTF", pages = "325--334", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bar-Yossef:2003:SLB, author = "Ziv Bar-Yossef", title = "Sampling lower bounds via information theory", crossref = "ACM:2003:PTF", pages = "335--344", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ben-Sasson:2003:SPH, author = "Eli Ben-Sasson and Prahladh Harsha and Sofya Raskhodnikova", title = "Some {3CNF} properties are hard to test", crossref = "ACM:2003:PTF", pages = "345--354", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kabanets:2003:DPI, author = "Valentine Kabanets and Russell Impagliazzo", title = "Derandomizing polynomial identity tests means proving circuit lower bounds", crossref = "ACM:2003:PTF", pages = "355--364", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gupta:2003:SBA, author = "Anupam Gupta and Amit Kumar and Tim Roughgarden", title = "Simpler and better approximation algorithms for network design", crossref = "ACM:2003:PTF", pages = "365--372", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chen:2003:MMA, author = "Jiangzhuo Chen and Rajmohan Rajaraman and Ravi Sundaram", title = "Meet and merge: approximation algorithms for confluent flows", crossref = "ACM:2003:PTF", pages = "373--382", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Azar:2003:OOR, author = "Yossi Azar and Edith Cohen and Amos Fiat and Haim Kaplan and Harald Racke", title = "Optimal oblivious routing in polynomial time", crossref = "ACM:2003:PTF", pages = "383--388", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Konemann:2003:PDM, author = "Jochen K{\"o}nemann and R. Ravi", title = "Primal-dual meets local search: approximating {MST}'s with nonuniform degree bounds", crossref = "ACM:2003:PTF", pages = "389--395", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ajtai:2003:WCB, author = "Miklos Ajtai", title = "The worst-case behavior of {Schnorr}'s algorithm approximating the shortest nonzero vector in a lattice", crossref = "ACM:2003:PTF", pages = "396--406", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Regev:2003:NLB, author = "Oded Regev", title = "New lattice based cryptographic constructions", crossref = "ACM:2003:PTF", pages = "407--416", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gennaro:2003:LBE, author = "Rosario Gennaro and Yael Gertner and Jonathan Katz", title = "Lower bounds on the efficiency of encryption and digital signature schemes", crossref = "ACM:2003:PTF", pages = "417--425", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Damgard:2003:NIR, author = "Ivan Damgard and Jens Groth", title = "Non-interactive and reusable non-malleable commitment schemes", crossref = "ACM:2003:PTF", pages = "426--437", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Krauthgamer:2003:IDG, author = "Robert Krauthgamer and James R. Lee", title = "The intrinsic dimensionality of graphs", crossref = "ACM:2003:PTF", pages = "438--447", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fakcharoenphol:2003:TBA, author = "Jittat Fakcharoenphol and Satish Rao and Kunal Talwar", title = "A tight bound on approximating arbitrary metrics by tree metrics", crossref = "ACM:2003:PTF", pages = "448--455", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Rabinovich:2003:ADE, author = "Yuri Rabinovich", title = "On average distortion of embedding metrics into the line and into {$ L_1 $}", crossref = "ACM:2003:PTF", pages = "456--462", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bartal:2003:MRT, author = "Yair Bartal and Nathan Linial and Manor Mendel and Assaf Naor", title = "On metric {Ramsey}-type phenomena", crossref = "ACM:2003:PTF", pages = "463--472", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dror:2003:TSP, author = "Moshe Dror and Alon Efrat and Anna Lubiw and Joseph S. B. Mitchell", title = "Touring a sequence of polygons", crossref = "ACM:2003:PTF", pages = "473--482", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gao:2003:WSP, author = "Jie Gao and Li Zhang", title = "Well-separated pair decomposition for the unit-disk graph metric and its applications", crossref = "ACM:2003:PTF", pages = "483--492", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dey:2003:ASF, author = "Tamal K. Dey and Joachim Giesen and Matthias John", title = "Alpha-shapes and flow shapes are homotopy equivalent", crossref = "ACM:2003:PTF", pages = "493--502", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Awerbuch:2003:RTT, author = "Baruch Awerbuch and Yossi Azar and Adam Meyerson", title = "Reducing truth-telling online mechanisms to online optimization", crossref = "ACM:2003:PTF", pages = "503--510", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Anshelevich:2003:NON, author = "Elliot Anshelevich and Anirban Dasgupta and Eva Tardos and Tom Wexler", title = "Near-optimal network design with selfish agents", crossref = "ACM:2003:PTF", pages = "511--520", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cole:2003:PNE, author = "Richard Cole and Yevgeniy Dodis and Tim Roughgarden", title = "Pricing network edges for heterogeneous selfish users", crossref = "ACM:2003:PTF", pages = "521--530", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chazelle:2003:SGA, author = "Bernard Chazelle and Ding Liu and Avner Magen", title = "Sublinear geometric algorithms", crossref = "ACM:2003:PTF", pages = "531--540", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Aronov:2003:DDT, author = "Boris Aronov and J{\'a}nos Pach and Micha Sharir and G{\'a}bor Tardos", title = "Distinct distances in three and higher dimensions", crossref = "ACM:2003:PTF", pages = "541--546", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Aronov:2003:CTC, author = "Boris Aronov and Vladlen Koltun and Micha Sharir", title = "Cutting triangular cycles of lines in space", crossref = "ACM:2003:PTF", pages = "547--555", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Buchsbaum:2003:OVL, author = "Adam L. Buchsbaum and Howard Karloff and Claire Kenyon and Nick Reingold and Mikkel Thorup", title = "{OPT} versus {LOAD} in dynamic storage allocation", crossref = "ACM:2003:PTF", pages = "556--564", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kleinberg:2003:CLB, author = "Robert Kleinberg and Tom Leighton", title = "Consistent load balancing via spread minimization", crossref = "ACM:2003:PTF", pages = "565--574", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Adler:2003:SPH, author = "Micah Adler and Eran Halperin and Richard M. Karp and Vijay V. Vazirani", title = "A stochastic process on the hypercube with applications to peer-to-peer networks", crossref = "ACM:2003:PTF", pages = "575--584", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Halperin:2003:PI, author = "Eran Halperin and Robert Krauthgamer", title = "Polylogarithmic inapproximability", crossref = "ACM:2003:PTF", pages = "585--594", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dinur:2003:NMP, author = "Irit Dinur and Venkatesan Guruswami and Subhash Khot and Oded Regev", title = "A new multilayered {PCP} and the hardness of hypergraph vertex cover", crossref = "ACM:2003:PTF", pages = "595--601", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Lu:2003:EOC, author = "Chi-Jen Lu and Omer Reingold and Salil Vadhan and Avi Wigderson", title = "Extractors: optimal up to constant factors", crossref = "ACM:2003:PTF", pages = "602--611", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ben-Sasson:2003:REL, author = "Eli Ben-Sasson and Madhu Sudan and Salil Vadhan and Avi Wigderson", title = "Randomness-efficient low degree tests and short {PCPs} via epsilon-biased sets", crossref = "ACM:2003:PTF", pages = "612--621", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ostlin:2003:UHC, author = "Anna Ostlin and Rasmus Pagh", title = "Uniform hashing in constant time and linear space", crossref = "ACM:2003:PTF", pages = "622--628", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dietzfelbinger:2003:ARG, author = "Martin Dietzfelbinger and Philipp Woelfel", title = "Almost random graphs with simple hash functions", crossref = "ACM:2003:PTF", pages = "629--638", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kaplan:2003:DRI, author = "Haim Kaplan and Eyal Molad and Robert E. Tarjan", title = "Dynamic rectangular intersection with priorities", crossref = "ACM:2003:PTF", pages = "639--648", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Thorup:2003:SED, author = "Mikkel Thorup", title = "Space efficient dynamic stabbing with fast queries", crossref = "ACM:2003:PTF", pages = "649--658", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gal:2003:LBA, author = "Anna Gal and Adi Rosen", title = "Lower bounds on the amount of randomness in private computation", crossref = "ACM:2003:PTF", pages = "659--666", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Jayram:2003:CPL, author = "T. S. Jayram and Subhash Khot and Ravi Kumar and Yuval Rabani", title = "Cell-probe lower bounds for the partial match problem", crossref = "ACM:2003:PTF", pages = "667--672", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Jayram:2003:TAI, author = "T. S. Jayram and Ravi Kumar and D. Sivakumar", title = "Two applications of information complexity", crossref = "ACM:2003:PTF", pages = "673--682", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Lindell:2003:BCS, author = "Yehuda Lindell", title = "Bounded-concurrent secure two-party computation without setup assumptions", crossref = "ACM:2003:PTF", pages = "683--692", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dyer:2003:ACD, author = "Martin Dyer", title = "Approximate counting by dynamic programming", crossref = "ACM:2003:PTF", pages = "693--699", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Alon:2003:TSD, author = "Noga Alon and Asaf Shapira", title = "Testing subgraphs in directed graphs", crossref = "ACM:2003:PTF", pages = "700--709", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Itoh:2003:SSR, author = "Toshiya Itoh and Yoshinori Takei and Jun Tarui", title = "On the sample size of $k$-restricted min-wise independent permutations and other $k$-wise distributions", crossref = "ACM:2003:PTF", pages = "710--719", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Friedman:2003:PAS, author = "Joel Friedman", title = "A proof of {Alon}'s second eigenvalue conjecture", crossref = "ACM:2003:PTF", pages = "720--724", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ben-Sasson:2004:RPP, author = "Eli Ben-Sasson and Oded Goldreich and Prahladh Harsha and Madhu Sudan and Salil Vadhan", title = "Robust {PCPs} of proximity, shorter {PCPs} and applications to coding", crossref = "ACM:2004:PAA", pages = "1--10", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Holmerin:2004:NPO, author = "Jonas Holmerin and Subhash Khot", title = "A new {PCP} outer verifier with applications to homogeneous linear equations and max-bisection", crossref = "ACM:2004:PAA", pages = "11--20", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chuzhoy:2004:ACH, author = "Julia Chuzhoy and Sudipto Guha and Eran Halperi and Sanjeev Khanna and Guy Kortsarz and Joseph (Seffi) Nao", title = "Asymmetric $k$-center is $ \log^*(n) $-hard to approximate", crossref = "ACM:2004:PAA", pages = "21--27", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chuzhoy:2004:NHR, author = "Julia Chuzhoy and Joseph (Seffi) Naor", title = "New hardness results for congestion minimization and machine scheduling", crossref = "ACM:2004:PAA", pages = "28--34", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Albers:2004:PGA, author = "Susanne Albers and Markus Schmidt", title = "On the performance of greedy algorithms in packet buffering", crossref = "ACM:2004:PAA", pages = "35--44", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Awerbuch:2004:ARE, author = "Baruch Awerbuch and Robert D. Kleinberg", title = "Adaptive routing with end-to-end feedback: distributed learning and geometric approaches", crossref = "ACM:2004:PAA", pages = "45--53", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Manku:2004:KTN, author = "Gurmeet Singh Manku and Moni Naor and Udi Wieder", title = "Know thy neighbor's neighbor: the power of lookahead in randomized {P2P} networks", crossref = "ACM:2004:PAA", pages = "54--63", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Azar:2004:ZOP, author = "Yossi Azar and Yossi Richter", title = "The zero-one principle for switching networks", crossref = "ACM:2004:PAA", pages = "64--71", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Alon:2004:ACN, author = "Noga Alon and Assaf Naor", title = "Approximating the cut-norm via {Grothendieck}'s inequality", crossref = "ACM:2004:PAA", pages = "72--80", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Spielman:2004:NLT, author = "Daniel A. Spielman and Shang-Hua Teng", title = "Nearly-linear time algorithms for graph partitioning, graph sparsification, and solving linear systems", crossref = "ACM:2004:PAA", pages = "81--90", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cole:2004:DMI, author = "Richard Cole and Lee-Ad Gottlieb and Moshe Lewenstein", title = "Dictionary matching and indexing with errors and don't cares", crossref = "ACM:2004:PAA", pages = "91--100", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Finocchi:2004:SSP, author = "Irene Finocchi and Giuseppe F. Italiano", title = "Sorting and searching in the presence of memory faults (without redundancy)", crossref = "ACM:2004:PAA", pages = "101--110", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ambainis:2004:QAD, author = "Andris Ambainis", title = "Quantum algorithms a decade after {Shor}", crossref = "ACM:2004:PAA", pages = "111--111", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Yao:2004:GEQ, author = "Andrew Chi-Chih Yao", title = "Graph entropy and quantum sorting problems", crossref = "ACM:2004:PAA", pages = "112--117", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Aaronson:2004:MFS, author = "Scott Aaronson", title = "Multilinear formulas and skepticism of quantum computing", crossref = "ACM:2004:PAA", pages = "118--127", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bar-Yossef:2004:ESQ, author = "Ziv Bar-Yossef and T. S. Jayram and Iordanis Kerenidis", title = "Exponential separation of quantum and classical one-way communication complexity", crossref = "ACM:2004:PAA", pages = "128--137", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kortsarz:2004:AAK, author = "G. Kortsarz and Z. Nutov", title = "Approximation algorithm for $k$-node connected subgraphs via critical graphs", crossref = "ACM:2004:PAA", pages = "138--145", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bienstock:2004:SFP, author = "D. Bienstock and G. Iyengar", title = "Solving fractional packing problems in {$ O^*(1 / \epsilon) $} iterations", crossref = "ACM:2004:PAA", pages = "146--155", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chekuri:2004:ANM, author = "Chandra Chekuri and Sanjeev Khanna and F. Bruce Shepherd", title = "The all-or-nothing multicommodity flow problem", crossref = "ACM:2004:PAA", pages = "156--165", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bansal:2004:AAD, author = "Nikhil Bansal and Avrim Blum and Shuchi Chawla and Adam Meyerson", title = "Approximation algorithms for deadline-{TSP} and vehicle routing with time-windows", crossref = "ACM:2004:PAA", pages = "166--174", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Czumaj:2004:EWM, author = "Artur Czumaj and Christian Sohler", title = "Estimating the weight of metric minimum spanning trees in sublinear-time", crossref = "ACM:2004:PAA", pages = "175--183", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Roditty:2004:FDR, author = "Liam Roditty and Uri Zwick", title = "A fully dynamic reachability algorithm for directed graphs with an almost linear update time", crossref = "ACM:2004:PAA", pages = "184--191", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Healy:2004:UNA, author = "Alexander Healy and Salil Vadhan and Emanuele Viola", title = "Using nondeterminism to amplify hardness", crossref = "ACM:2004:PAA", pages = "192--201", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Alur:2004:VPL, author = "Rajeev Alur and P. Madhusudan", title = "Visibly pushdown languages", crossref = "ACM:2004:PAA", pages = "202--211", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chen:2004:LFR, author = "Jianer Chen and Xiuzhen Huang and Iyad A. Kanj and Ge Xia", title = "Linear {FPT} reductions and computational lower bounds", crossref = "ACM:2004:PAA", pages = "212--221", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Arora:2004:EFG, author = "Sanjeev Arora and Satish Rao and Umesh Vazirani", title = "Expander flows, geometric embeddings and graph partitioning", crossref = "ACM:2004:PAA", pages = "222--231", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Pass:2004:BCS, author = "Rafael Pass", title = "Bounded-concurrent secure multi-party computation with a dishonest majority", crossref = "ACM:2004:PAA", pages = "232--241", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Prabhakaran:2004:NNS, author = "Manoj Prabhakaran and Amit Sahai", title = "New notions of security: achieving universal composability without trusted setup", crossref = "ACM:2004:PAA", pages = "242--251", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Harnik:2004:CTP, author = "Danny Harnik and Moni Naor and Omer Reingold and Alon Rosen", title = "Completeness in two-party secure computation: a computational view", crossref = "ACM:2004:PAA", pages = "252--261", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ishai:2004:BCT, author = "Yuval Ishai and Eyal Kushilevitz and Rafail Ostrovsky and Amit Sahai", title = "Batch codes and their applications", crossref = "ACM:2004:PAA", pages = "262--271", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kenyon:2004:LDM, author = "Claire Kenyon and Yuval Rabani and Alistair Sinclair", title = "Low distortion maps between point sets", crossref = "ACM:2004:PAA", pages = "272--280", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Talwar:2004:BEA, author = "Kunal Talwar", title = "Bypassing the embedding: algorithms for low dimensional metrics", crossref = "ACM:2004:PAA", pages = "281--290", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Har-Peled:2004:CKM, author = "Sariel Har-Peled and Soham Mazumdar", title = "On coresets for $k$-means and $k$-median clustering", crossref = "ACM:2004:PAA", pages = "291--300", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Boissonnat:2004:IIS, author = "Jean-Daniel Boissonnat and David Cohen-Steiner and Gert Vegter", title = "Isotopic implicit surface meshing", crossref = "ACM:2004:PAA", pages = "301--309", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Lovasz:2004:HRC, author = "L{\'a}szl{\'o} Lov{\'a}sz and Santosh Vempala", title = "Hit-and-run from a corner", crossref = "ACM:2004:PAA", pages = "310--314", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dunagan:2004:SPT, author = "John Dunagan and Santosh Vempala", title = "A simple polynomial-time rescaling algorithm for solving linear programs", crossref = "ACM:2004:PAA", pages = "315--320", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chlebus:2004:CAR, author = "Bogdan S. Chlebus and Dariusz R. Kowalski and Alexander A. Shvartsman", title = "Collective asynchronous reading with polylogarithmic worst-case overhead", crossref = "ACM:2004:PAA", pages = "321--330", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Elkin:2004:ULB, author = "Michael Elkin", title = "Unconditional lower bounds on the time-approximation tradeoffs for the distributed minimum spanning tree problem", crossref = "ACM:2004:PAA", pages = "331--340", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Tardos:2004:NG, author = "{\'E}va Tardos", title = "Network games", crossref = "ACM:2004:PAA", pages = "341--342", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Beier:2004:TPW, author = "Rene Beier and Berthold V{\"o}cking", title = "Typical properties of winners and losers in discrete optimization", crossref = "ACM:2004:PAA", pages = "343--352", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Levi:2004:PDA, author = "Retsef Levi and Robin Roundy and David B. Shmoys", title = "Primal-dual algorithms for deterministic inventory problems", crossref = "ACM:2004:PAA", pages = "353--362", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chekuri:2004:MPS, author = "Chandra Chekuri and Ashish Goel and Sanjeev Khanna and Amit Kumar", title = "Multi-processor scheduling to minimize flow time with {$ \epsilon $} resource augmentation", crossref = "ACM:2004:PAA", pages = "363--372", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Indyk:2004:ADG, author = "Piotr Indyk", title = "Algorithms for dynamic geometric problems over data streams", crossref = "ACM:2004:PAA", pages = "373--380", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Batu:2004:SAT, author = "Tugkan Batu and Ravi Kumar and Ronitt Rubinfeld", title = "Sublinear algorithms for testing monotone and unimodal distributions", crossref = "ACM:2004:PAA", pages = "381--390", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fischer:2004:DTI, author = "Eldar Fischer", title = "The difficulty of testing for isomorphism against a graph that is given in advance", crossref = "ACM:2004:PAA", pages = "391--397", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Correa:2004:AKT, author = "Jos{\'e} R. Correa and Michel X. Goemans", title = "An approximate {K{\"o}nig}'s theorem for edge-coloring weighted bipartite graphs", crossref = "ACM:2004:PAA", pages = "398--406", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gabow:2004:FPC, author = "Harold N. Gabow", title = "Finding paths and cycles of superpolylogarithmic length", crossref = "ACM:2004:PAA", pages = "407--416", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gupta:2004:BSA, author = "Anupam Gupta and Martin P{\'a}l and R. Ravi and Amitabh Sinha", title = "Boosted sampling: approximation algorithms for stochastic optimization", crossref = "ACM:2004:PAA", pages = "417--426", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Shpilka:2004:DHT, author = "Amir Shpilka and Avi Wigderson", title = "Derandomizing homomorphism testing in general groups", crossref = "ACM:2004:PAA", pages = "427--435", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Guruswami:2004:BEB, author = "Venkatesan Guruswami", title = "Better extractors for better codes?", crossref = "ACM:2004:PAA", pages = "436--444", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Rozenman:2004:NFC, author = "Eyal Rozenman and Aner Shalev and Avi Wigderson", title = "A new family of {Cayley} expanders (?)", crossref = "ACM:2004:PAA", pages = "445--454", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kelner:2004:SPE, author = "Jonathan A. Kelner", title = "Spectral partitioning, eigenvalue bounds, and circle packings for graphs of bounded genus", crossref = "ACM:2004:PAA", pages = "455--464", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Aaronson:2004:LBL, author = "Scott Aaronson", title = "Lower bounds for local search by quantum arguments", crossref = "ACM:2004:PAA", pages = "465--474", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Burgisser:2004:CCC, author = "Peter B{\"u}rgisser and Felipe Cucker", title = "Counting complexity classes for numeric computations {II}: algebraic and semialgebraic sets", crossref = "ACM:2004:PAA", pages = "475--485", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ajtai:2004:CAP, author = "Mikl{\'o}s Ajtai", title = "A conjecture about polynomial time computable lattice-lattice functions", crossref = "ACM:2004:PAA", pages = "486--493", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Santha:2004:QCQ, author = "Miklos Santha and Mario Szegedy", title = "Quantum and classical query complexities of local search are polynomially related", crossref = "ACM:2004:PAA", pages = "494--501", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Reichardt:2004:QAO, author = "Ben W. Reichardt", title = "The quantum adiabatic optimization algorithm and local minima", crossref = "ACM:2004:PAA", pages = "502--510", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Garg:2004:AAM, author = "Rahul Garg and Sanjiv Kapoor", title = "Auction algorithms for market equilibrium", crossref = "ACM:2004:PAA", pages = "511--518", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Devanur:2004:SCM, author = "Nikhil R. Devanur", title = "The spending constraint model for market equilibrium: algorithmic, existence and uniqueness results", crossref = "ACM:2004:PAA", pages = "519--528", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chen:2004:ATB, author = "Jiangzhuo Chen and Robert D. Kleinberg and L{\'a}szl{\'o} Lov{\'a}sz and Rajmohan Rajaraman and Ravi Sundaram and Adrian Vetta", title = "(Almost) tight bounds and existence theorems for confluent flows", crossref = "ACM:2004:PAA", pages = "529--538", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Obata:2004:AMI, author = "Kenji Obata", title = "Approximate max-integral-flow\slash min-multicut theorems", crossref = "ACM:2004:PAA", pages = "539--545", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Patrascu:2004:LBD, author = "Mihai P{\u{a}}tra{\c{s}}cu and Erik D. Demaine", title = "Lower bounds for dynamic connectivity", crossref = "ACM:2004:PAA", pages = "546--553", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ailon:2004:LBL, author = "Nir Ailon and Bernard Chazelle", title = "Lower bounds for linear degeneracy testing", crossref = "ACM:2004:PAA", pages = "554--560", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kempe:2004:DAS, author = "David Kempe and Frank McSherry", title = "A decentralized algorithm for spectral analysis", crossref = "ACM:2004:PAA", pages = "561--568", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kleinberg:2004:UMM, author = "Jon Kleinberg and Mark Sandler", title = "Using mixture models for collaborative filtering", crossref = "ACM:2004:PAA", pages = "569--578", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Wigderson:2004:DTB, author = "Avi Wigderson", title = "Depth through breadth, or why should we attend talks in other areas?", crossref = "ACM:2004:PAA", pages = "579--579", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Goel:2004:STM, author = "Ashish Goel and Sanatan Rai and Bhaskar Krishnamachari", title = "Sharp thresholds for monotone properties in random geometric graphs", crossref = "ACM:2004:PAA", pages = "580--586", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Achlioptas:2004:TPV, author = "Dimitris Achlioptas and Assaf Naor", title = "The two possible values of the chromatic number of a random graph", crossref = "ACM:2004:PAA", pages = "587--593", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Feige:2004:SIR, author = "Uriel Feige", title = "On sums of independent random variables with unbounded variance, and estimating the average degree in a graph", crossref = "ACM:2004:PAA", pages = "594--603", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fabrikant:2004:CPN, author = "Alex Fabrikant and Christos Papadimitriou and Kunal Talwar", title = "The complexity of pure {Nash} equilibria", crossref = "ACM:2004:PAA", pages = "604--612", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gairing:2004:CNE, author = "Martin Gairing and Thomas L{\"u}cking and Marios Mavronicolas and Burkhard Monien", title = "Computing {Nash} equilibria for scheduling on restricted parallel links", crossref = "ACM:2004:PAA", pages = "613--622", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Halpern:2004:RSS, author = "Joseph Halpern and Vanessa Teague", title = "Rational secret sharing and multiparty computation: extended abstract", crossref = "ACM:2004:PAA", pages = "623--632", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Raz:2004:MLF, author = "Ran Raz", title = "Multi-linear formulas for permanent and determinant are of super-polynomial size", crossref = "ACM:2004:PAA", pages = "633--641", year = "2004", bibdate = "Wed Apr 5 05:59:11 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Barak:2005:SIN, author = "Boaz Barak and Guy Kindler and Ronen Shaltiel and Benny Sudakov and Avi Wigderson", title = "Simulating independence: new constructions of condensers, {Ramsey} graphs, dispersers, and extractors", crossref = "ACM:2005:SPA", pages = "1--10", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Raz:2005:EWR, author = "Ran Raz", title = "Extractors with weak random seeds", crossref = "ACM:2005:SPA", pages = "11--20", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bogdanov:2005:PGL, author = "Andrej Bogdanov", title = "Pseudorandom generators for low degree polynomials", crossref = "ACM:2005:SPA", pages = "21--30", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Trevisan:2005:UAH, author = "Luca Trevisan", title = "On uniform amplification of hardness in {NP}", crossref = "ACM:2005:SPA", pages = "31--38", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Briest:2005:ATU, author = "Patrick Briest and Piotr Krysta and Berthold V{\"o}cking", title = "Approximation techniques for utilitarian mechanism design", crossref = "ACM:2005:SPA", pages = "39--48", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Papadimitriou:2005:CCE, author = "Christos H. Papadimitriou", title = "Computing correlated equilibria in multi-player games", crossref = "ACM:2005:SPA", pages = "49--56", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Awerbuch:2005:LPR, author = "Baruch Awerbuch and Yossi Azar and Amir Epstein", title = "Large the price of routing unsplittable flow", crossref = "ACM:2005:SPA", pages = "57--66", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Christodoulou:2005:PAF, author = "George Christodoulou and Elias Koutsoupias", title = "The price of anarchy of finite congestion games", crossref = "ACM:2005:SPA", pages = "67--73", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Codenotti:2005:MEE, author = "Bruno Codenotti and Benton McCune and Kasturi Varadarajan", title = "Market equilibrium via the excess demand function", crossref = "ACM:2005:SPA", pages = "74--83", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Regev:2005:LLE, author = "Oded Regev", title = "On lattices, learning with errors, random linear codes, and cryptography", crossref = "ACM:2005:SPA", pages = "84--93", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ajtai:2005:RHL, author = "Mikl{\'o}s Ajtai", title = "Representing hard lattices with {$ O(n \log n) $} bits", crossref = "ACM:2005:SPA", pages = "94--103", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Mortensen:2005:DRR, author = "Christian Worm Mortensen and Rasmus Pagh and Mihai P{\u{a}}tra{\c{s}}cu", title = "On dynamic range reporting in one dimension", crossref = "ACM:2005:SPA", pages = "104--111", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Thorup:2005:WCU, author = "Mikkel Thorup", title = "Worst-case update times for fully-dynamic all-pairs shortest paths", crossref = "ACM:2005:SPA", pages = "112--119", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fortnow:2005:BNW, author = "Lance Fortnow", title = "Beyond {NP}: the work and legacy of {Larry Stockmeyer}", crossref = "ACM:2005:SPA", pages = "120--127", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Alon:2005:EMG, author = "Noga Alon and Asaf Shapira", title = "Every monotone graph property is testable", crossref = "ACM:2005:SPA", pages = "128--137", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fischer:2005:TVE, author = "Eldar Fischer and Ilan Newman", title = "Testing versus estimation of graph properties", crossref = "ACM:2005:SPA", pages = "138--146", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Rubinfeld:2005:TMH, author = "Ronitt Rubinfeld and Rocco A. Servedio", title = "Testing monotone high-dimensional distributions", crossref = "ACM:2005:SPA", pages = "147--156", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Friedl:2005:ETG, author = "Katalin Friedl and G{\'a}bor Ivanyos and Miklos Santha", title = "Efficient testing of groups", crossref = "ACM:2005:SPA", pages = "157--166", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cheriyan:2005:AAN, author = "Joseph Cheriyan and Adrian Vetta", title = "Approximation algorithms for network design with metric costs", crossref = "ACM:2005:SPA", pages = "167--175", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Charikar:2005:NUM, author = "Moses Charikar and Adriana Karagiozova", title = "On non-uniform multicommodity buy-at-bulk network design", crossref = "ACM:2005:SPA", pages = "176--182", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chekuri:2005:MFW, author = "Chandra Chekuri and Sanjeev Khanna and F. Bruce Shepherd", title = "Multicommodity flow, well-linked terminals, and routing problems", crossref = "ACM:2005:SPA", pages = "183--192", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Hajiaghayi:2005:ORD, author = "MohammadTaghi Hajiaghayi and Jeong Han Kim and Tom Leighton and Harald R{\"a}cke", title = "Oblivious routing in directed graphs with random demands", crossref = "ACM:2005:SPA", pages = "193--201", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Indyk:2005:OAF, author = "Piotr Indyk and David Woodruff", title = "Optimal approximations of the frequency moments of data streams", crossref = "ACM:2005:SPA", pages = "202--208", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Frahling:2005:CDG, author = "Gereon Frahling and Christian Sohler", title = "Coresets in dynamic geometric data streams", crossref = "ACM:2005:SPA", pages = "209--217", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ostrovsky:2005:LDE, author = "Rafail Ostrovsky and Yuval Rabani", title = "Low distortion embeddings for edit distance", crossref = "ACM:2005:SPA", pages = "218--224", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Badoiu:2005:LDE, author = "Mihai B{\u{a}}doiu and Julia Chuzhoy and Piotr Indyk and Anastasios Sidiropoulos", title = "Low-distortion embeddings of general metrics into the line", crossref = "ACM:2005:SPA", pages = "225--233", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bojanczyk:2005:TWA, author = "Mikolaj Bojanczyk and Thomas Colcombet", title = "Tree-walking automata do not recognize all regular languages", crossref = "ACM:2005:SPA", pages = "234--243", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Benjamini:2005:BBF, author = "Itai Benjamini and Oded Schramm and David B. Wilson", title = "Balanced {Boolean} functions that can be evaluated so that every input bit is unlikely to be read", crossref = "ACM:2005:SPA", pages = "244--250", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Alekhnovich:2005:LBK, author = "Michael Alekhnovich", title = "Lower bounds for {$k$-DNF} resolution on random {$3$-CNFs}", crossref = "ACM:2005:SPA", pages = "251--256", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Koucky:2005:BDC, author = "Michal Kouck{\'y} and Pavel Pudl{\'a}k and Denis Th{\'e}rien", title = "Bounded-depth circuits: separating wires from gates", crossref = "ACM:2005:SPA", pages = "257--265", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ben-Sasson:2005:SPP, author = "Eli Ben-Sasson and Madhu Sudan", title = "Simple {PCPs} with poly-log rate and query complexity", crossref = "ACM:2005:SPA", pages = "266--275", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Andrews:2005:HUE, author = "Matthew Andrews and Lisa Zhang", title = "Hardness of the undirected edge-disjoint paths problem", crossref = "ACM:2005:SPA", pages = "276--283", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Andrews:2005:HUC, author = "Matthew Andrews and Lisa Zhang", title = "Hardness of the undirected congestion minimization problem", crossref = "ACM:2005:SPA", pages = "284--293", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Alekhnovich:2005:TSN, author = "Mikhail Alekhnovich and Sanjeev Arora and Iannis Tourlakis", title = "Towards strong nonapproximability results in the {Lovasz--Schrijver} hierarchy", crossref = "ACM:2005:SPA", pages = "294--303", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Basu:2005:CFB, author = "Saugata Basu and Richard Pollack and Marie-Fran{\c{c}}oise Roy", title = "Computing the first {Betti} number and the connected components of semi-algebraic sets", crossref = "ACM:2005:SPA", pages = "304--312", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Basu:2005:PTA, author = "Saugata Basu", title = "Polynomial time algorithm for computing the top {Betti} numbers of semi-algebraic sets defined by quadratic inequalities", crossref = "ACM:2005:SPA", pages = "313--322", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chen:2005:ADA, author = "Xi Chen and Xiaotie Deng", title = "On algorithms for discrete and approximate {Brouwer} fixed points", crossref = "ACM:2005:SPA", pages = "323--330", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Azar:2005:CPS, author = "Yossi Azar and Amir Epstein", title = "Convex programming for scheduling unrelated parallel machines", crossref = "ACM:2005:SPA", pages = "331--337", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Sanghvi:2005:RCT, author = "Saurabh Sanghvi and Salil Vadhan", title = "The round complexity of two-party random selection", crossref = "ACM:2005:SPA", pages = "338--347", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fortnow:2005:HSC, author = "Lance Fortnow and Rahul Santhanam and Luca Trevisan", title = "Hierarchies for semantic classes", crossref = "ACM:2005:SPA", pages = "348--355", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kaplan:2005:LAC, author = "Haim Kaplan and Eyal Kushilevitz and Yishay Mansour", title = "Learning with attribute costs", crossref = "ACM:2005:SPA", pages = "356--365", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Mossel:2005:LNP, author = "Elchanan Mossel and S{\'e}bastien Roch", title = "Learning nonsingular phylogenies and hidden {Markov} models", crossref = "ACM:2005:SPA", pages = "366--375", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Reingold:2005:USC, author = "Omer Reingold", title = "Undirected {ST}-connectivity in log-space", crossref = "ACM:2005:SPA", pages = "376--385", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Jia:2005:UAT, author = "Lujun Jia and Guolong Lin and Guevara Noubir and Rajmohan Rajaraman and Ravi Sundaram", title = "Universal approximations for {TSP}, {Steiner} tree, and set cover", crossref = "ACM:2005:SPA", pages = "386--395", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Garg:2005:SEA, author = "Naveen Garg", title = "Saving an epsilon: a $2$-approximation for the {$k$-MST} problem in graphs", crossref = "ACM:2005:SPA", pages = "396--402", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Morris:2005:MTT, author = "Ben Morris", title = "The mixing time of the {Thorp} shuffle", crossref = "ACM:2005:SPA", pages = "403--412", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cryan:2005:ACI, author = "Mary Cryan and Martin Dyer and Dana Randall", title = "Approximately counting integral flows and cell-bounded contingency tables", crossref = "ACM:2005:SPA", pages = "413--422", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Vu:2005:SNR, author = "V. H. Vu", title = "Spectral norm of random matrices", crossref = "ACM:2005:SPA", pages = "423--430", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Tao:2005:RMS, author = "Terence Tao and Van Vu", title = "On random $ \pm 1 $ matrices: singularity and determinant", crossref = "ACM:2005:SPA", pages = "431--440", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Flaxman:2005:ACP, author = "Abraham D. Flaxman and Alan M. Frieze and Juan C. Vera", title = "On the average case performance of some greedy approximation algorithms for the uncapacitated facility location problem", crossref = "ACM:2005:SPA", pages = "441--449", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Adler:2005:TAO, author = "Micah Adler and Jeff Edmonds and Jivri Matousek", title = "Towards asymptotic optimality in probabilistic packet marking", crossref = "ACM:2005:SPA", pages = "450--459", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Shi:2005:TNC, author = "Yaoyun Shi", title = "Tensor norms and the classical communication complexity of nonlocal quantum measurement", crossref = "ACM:2005:SPA", pages = "460--467", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Hallgren:2005:FQA, author = "Sean Hallgren", title = "Fast quantum algorithms for computing the unit group and class group of a number field", crossref = "ACM:2005:SPA", pages = "468--474", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Schmidt:2005:PTQ, author = "Arthur Schmidt and Ulrich Vollmer", title = "Polynomial time quantum algorithm for the computation of the unit group of a number field", crossref = "ACM:2005:SPA", pages = "475--480", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ben-Or:2005:FQB, author = "Michael Ben-Or and Avinatan Hassidim", title = "Fast quantum {Byzantine} agreement", crossref = "ACM:2005:SPA", pages = "481--485", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Alon:2005:QFG, author = "Noga Alon and Konstantin Makarychev and Yury Makarychev and Assaf Naor", title = "Quadratic forms on graphs", crossref = "ACM:2005:SPA", pages = "486--493", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Elkin:2005:LSS, author = "Michael Elkin and Yuval Emek and Daniel A. Spielman and Shang-Hua Teng", title = "Lower-stretch spanning trees", crossref = "ACM:2005:SPA", pages = "494--503", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Goncalves:2005:EPP, author = "Daniel Gon{\c{c}}alves", title = "Edge partition of planar graphs into two outerplanar graphs", crossref = "ACM:2005:SPA", pages = "504--512", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{vonAhn:2005:CTP, author = "Luis von Ahn and Nicholas Hopper and John Langford", title = "Covert two-party computation", crossref = "ACM:2005:SPA", pages = "513--522", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Wee:2005:OPF, author = "Hoeteck Wee", title = "On obfuscating point functions", crossref = "ACM:2005:SPA", pages = "523--532", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Pass:2005:NIC, author = "Rafael Pass and Alon Rosen", title = "New and improved constructions of non-malleable cryptographic protocols", crossref = "ACM:2005:SPA", pages = "533--542", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Lepinksi:2005:CFP, author = "Matt Lepinksi and Silvio Micali and abhi shelat", title = "Collusion-free protocols", crossref = "ACM:2005:SPA", pages = "543--552", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Arora:2005:EDS, author = "Sanjeev Arora and James R. Lee and Assaf Naor", title = "{Euclidean} distortion and the sparsest cut", crossref = "ACM:2005:SPA", pages = "553--562", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Feige:2005:IAA, author = "Uriel Feige and MohammadTaghi Hajiaghayi and James R. Lee", title = "Improved approximation algorithms for minimum-weight vertex separators", crossref = "ACM:2005:SPA", pages = "563--572", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Agarwal:2005:AAM, author = "Amit Agarwal and Moses Charikar and Konstantin Makarychev and Yury Makarychev", title = "{$ O(\sqrt {\log n}) $} approximation algorithms for min {UnCut}, min {2CNF} deletion, and directed cut problems", crossref = "ACM:2005:SPA", pages = "573--581", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Naor:2005:BML, author = "Joseph (Seffi) Naor and Roy Schwartz", title = "Balanced metric labeling", crossref = "ACM:2005:SPA", pages = "582--591", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dvir:2005:LDC, author = "Zeev Dvir and Amir Shpilka", title = "Locally decodable codes with $2$ queries and polynomial identity testing for depth $3$ circuits", crossref = "ACM:2005:SPA", pages = "592--601", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Guruswami:2005:LLD, author = "Venkatesan Guruswami and Atri Rudra", title = "Limits to list decoding {Reed--Solomon} codes", crossref = "ACM:2005:SPA", pages = "602--609", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dobzinski:2005:AAC, author = "Shahar Dobzinski and Noam Nisan and Michael Schapira", title = "Approximation algorithms for combinatorial auctions with complement-free bidders", crossref = "ACM:2005:SPA", pages = "610--618", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Aggarwal:2005:DA, author = "Gagan Aggarwal and Amos Fiat and Andrew V. Goldberg and Jason D. Hartline and Nicole Immorlica and Madhu Sudan", title = "Derandomization of auctions", crossref = "ACM:2005:SPA", pages = "619--625", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Trifonov:2005:LLL, author = "Vladimir Trifonov", title = "An {$ O(\log n \log \log n) $} space algorithm for undirected st-connectivity", crossref = "ACM:2005:SPA", pages = "626--633", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Aaronson:2005:CA, author = "Scott Aaronson", title = "The complexity of agreement", crossref = "ACM:2005:SPA", pages = "634--643", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kalai:2005:CGC, author = "Yael Tauman Kalai and Yehuda Lindell and Manoj Prabhakaran", title = "Concurrent general composition of secure protocols in the timing model", crossref = "ACM:2005:SPA", pages = "644--653", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dodis:2005:CEL, author = "Yevgeniy Dodis and Adam Smith", title = "Correcting errors without leaking partial information", crossref = "ACM:2005:SPA", pages = "654--663", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Holenstein:2005:KAW, author = "Thomas Holenstein", title = "Key agreement from weak bit agreement", crossref = "ACM:2005:SPA", pages = "664--673", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cicalese:2005:NSQ, author = "Ferdinando Cicalese and Eduardo Sany Laber", title = "A new strategy for querying priced information", crossref = "ACM:2005:SPA", pages = "674--683", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ailon:2005:AII, author = "Nir Ailon and Moses Charikar and Alantha Newman", title = "Aggregating inconsistent information: ranking and clustering", crossref = "ACM:2005:SPA", pages = "684--693", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Achlioptas:2005:BTS, author = "Dimitris Achlioptas and Aaron Clauset and David Kempe and Cristopher Moore", title = "On the bias of traceroute sampling: or, power-law degree distributions in regular graphs", crossref = "ACM:2005:SPA", pages = "694--703", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Scheideler:2005:HSA, author = "Christian Scheideler", title = "How to spread adversarial nodes?: rotate!", crossref = "ACM:2005:SPA", pages = "704--713", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gafni:2005:SIA, author = "Eli Gafni and Rachid Guerraoui and Bastian Pochon", title = "From a static impossibility to an adaptive lower bound: the complexity of early deciding set agreement", crossref = "ACM:2005:SPA", pages = "714--722", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Jayanti:2005:OMW, author = "Prasad Jayanti", title = "An optimal multi-writer snapshot algorithm", crossref = "ACM:2005:SPA", pages = "723--732", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chlebus:2005:CAU, author = "Bogdan S. Chlebus and Dariusz R. Kowalski", title = "Cooperative asynchronous update of shared memory", crossref = "ACM:2005:SPA", pages = "733--739", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Haastad:2005:ECA, author = "Johan H{\aa}stad", title = "Every {$2$-CSP} allows nontrivial approximation", crossref = "ACM:2005:SPA", pages = "740--746", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{delaVega:2005:TDA, author = "W. Fernandez de la Vega and Marek Karpinski and Ravi Kannan and Santosh Vempala", title = "Tensor decomposition and approximation schemes for constraint satisfaction problems", crossref = "ACM:2005:SPA", pages = "747--754", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Jansen:2005:SPR, author = "Klaus Jansen and Rob van Stee", title = "On strip packing with rotations", crossref = "ACM:2005:SPA", pages = "755--761", year = "2005", bibdate = "Wed Apr 5 05:59:22 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Guruswami:2006:ECA, author = "Venkatesan Guruswami and Atri Rudra", title = "Explicit capacity-achieving list-decodable codes", crossref = "ACM:2006:PTE", pages = "1--10", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Samorodnitsky:2006:GUI, author = "Alex Samorodnitsky and Luca Trevisan", title = "{Gowers} uniformity, influence of variables, and {PCPs}", crossref = "ACM:2006:PTE", pages = "11--20", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Moshkovitz:2006:SCE, author = "Dana Moshkovitz and Ran Raz", title = "Sub-constant error low degree test of almost-linear size", crossref = "ACM:2006:PTE", pages = "21--30", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bansal:2006:SCP, author = "Nikhil Bansal and Maxim Sviridenko", title = "The {Santa Claus} problem", crossref = "ACM:2006:PTE", pages = "31--40", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Feige:2006:MWW, author = "Uriel Feige", title = "On maximizing welfare when utility functions are subadditive", crossref = "ACM:2006:PTE", pages = "41--50", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kelner:2006:RPT, author = "Jonathan A. Kelner and Daniel A. Spielman", title = "A randomized polynomial-time simplex algorithm for linear programming", crossref = "ACM:2006:PTE", pages = "51--60", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Goldberg:2006:RAE, author = "Paul W. Goldberg and Christos H. Papadimitriou", title = "Reducibility among equilibrium problems", crossref = "ACM:2006:PTE", pages = "61--70", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Daskalakis:2006:CCN, author = "Constantinos Daskalakis and Paul W. Goldberg and Christos H. Papadimitriou", title = "The complexity of computing a {Nash} equilibrium", crossref = "ACM:2006:PTE", pages = "71--78", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Roughgarden:2006:NTO, author = "Tim Roughgarden and Mukund Sundararajan", title = "New trade-offs in cost-sharing mechanisms", crossref = "ACM:2006:PTE", pages = "79--88", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Hayrapetyan:2006:ECC, author = "Ara Hayrapetyan and {\'E}va Tardos and Tom Wexler", title = "The effect of collusion in congestion games", crossref = "ACM:2006:PTE", pages = "89--98", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ishai:2006:BBC, author = "Yuval Ishai and Eyal Kushilevitz and Yehuda Lindell and Erez Petrank", title = "Black-box constructions for secure computation", crossref = "ACM:2006:PTE", pages = "99--108", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kushilevitz:2006:ITS, author = "Eyal Kushilevitz and Yehuda Lindell and Tal Rabin", title = "Information-theoretically secure protocols and security under composition", crossref = "ACM:2006:PTE", pages = "109--118", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Beimel:2006:PAS, author = "Amos Beimel and Paz Carmi and Kobbi Nissim and Enav Weinreb", title = "Private approximation of search problems", crossref = "ACM:2006:PTE", pages = "119--128", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Raghavan:2006:CFW, author = "Prabhakar Raghavan", title = "The changing face of {Web} search: algorithms, auctions and advertising", crossref = "ACM:2006:PTE", pages = "129--129", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Achlioptas:2006:SSG, author = "Dimitris Achlioptas and Federico Ricci-Tersenghi", title = "On the solution-space geometry of random constraint satisfaction problems", crossref = "ACM:2006:PTE", pages = "130--139", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Weitz:2006:CIS, author = "Dror Weitz", title = "Counting independent sets up to the tree threshold", crossref = "ACM:2006:PTE", pages = "140--149", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Szegedy:2006:DPS, author = "Mario Szegedy", title = "The {DLT} priority sampling is essentially optimal", crossref = "ACM:2006:PTE", pages = "150--158", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Daskalakis:2006:OPR, author = "Constantinos Daskalakis and Elchanan Mossel and S{\'e}bastien Roch", title = "Optimal phylogenetic reconstruction", crossref = "ACM:2006:PTE", pages = "159--168", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fatourou:2006:TST, author = "Panagiota Fatourou and Faith Ellen Fich and Eric Ruppert", title = "Time-space tradeoffs for implementations of snapshots", crossref = "ACM:2006:PTE", pages = "169--178", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ben-Or:2006:BAF, author = "Michael Ben-Or and Elan Pavlov and Vinod Vaikuntanathan", title = "{Byzantine} agreement in the full-information model in {$ O(\log n) $} rounds", crossref = "ACM:2006:PTE", pages = "179--186", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Antonakopoulos:2006:FLE, author = "Spyridon Antonakopoulos", title = "Fast leader-election protocols with bounded cheaters' edge", crossref = "ACM:2006:PTE", pages = "187--196", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cho:2006:PFD, author = "Sung-woo Cho and Ashish Goel", title = "Pricing for fairness: distributed resource allocation for multiple objectives", crossref = "ACM:2006:PTE", pages = "197--204", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Charikar:2006:NOA, author = "Moses Charikar and Konstantin Makarychev and Yury Makarychev", title = "Near-optimal algorithms for unique games", crossref = "ACM:2006:PTE", pages = "205--214", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Arora:2006:NAG, author = "Sanjeev Arora and Eden Chlamtac", title = "New approximation guarantee for chromatic number", crossref = "ACM:2006:PTE", pages = "215--224", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Vassilevska:2006:FMW, author = "Virginia Vassilevska and Ryan Williams", title = "Finding a maximum weight triangle in {$ n^{3 - \Delta } $} time, with applications", crossref = "ACM:2006:PTE", pages = "225--231", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Patrascu:2006:TST, author = "Mihai P{\~a}tra{\c{s}}cu and Mikkel Thorup", title = "Time-space trade-offs for predecessor search", crossref = "ACM:2006:PTE", pages = "232--240", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dinur:2006:PTG, author = "Irit Dinur", title = "The {PCP} theorem by gap amplification", crossref = "ACM:2006:PTE", pages = "241--250", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Shapira:2006:CCT, author = "Asaf Shapira", title = "A combinatorial characterization of the testable graph properties: it's all about regularity", crossref = "ACM:2006:PTE", pages = "251--260", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Borgs:2006:GLP, author = "Christian Borgs and Jennifer Chayes and L{\'a}szl{\'o} Lov{\'a}sz and Vera T. S{\'o}s and Bal{\'a}zs Szegedy and Katalin Vesztergombi", title = "Graph limits and parameter testing", crossref = "ACM:2006:PTE", pages = "261--270", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Abraham:2006:AME, author = "Ittai Abraham and Yair Bartal and Ofer Neimany", title = "Advances in metric embedding theory", crossref = "ACM:2006:PTE", pages = "271--286", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Nguyen:2006:ZKE, author = "Minh-Huyen Nguyen and Salil Vadhan", title = "Zero knowledge with efficient provers", crossref = "ACM:2006:PTE", pages = "287--295", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Watrous:2006:ZKA, author = "John Watrous", title = "Zero-knowledge against quantum attacks", crossref = "ACM:2006:PTE", pages = "296--305", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Micali:2006:LZK, author = "Silvio Micali and Rafael Pass", title = "Local zero knowledge", crossref = "ACM:2006:PTE", pages = "306--315", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Remy:2006:QPT, author = "Jan Remy and Angelika Steger", title = "A quasi-polynomial time approximation scheme for minimum weight triangulation", crossref = "ACM:2006:PTE", pages = "316--325", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Clarkson:2006:BTU, author = "Kenneth L. Clarkson", title = "Building triangulations using $ \epsilon $-nets", crossref = "ACM:2006:PTE", pages = "326--335", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Asano:2006:DTC, author = "Tetsuo Asano and Ji{\v{r}}{\'\i} Matou{\v{s}}ek and Takeshi Tokuyama", title = "The distance trisector curve", crossref = "ACM:2006:PTE", pages = "336--343", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dinur:2006:CHA, author = "Irit Dinur and Elchanan Mossel and Oded Regev", title = "Conditional hardness for approximate coloring", crossref = "ACM:2006:PTE", pages = "344--353", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fellows:2006:CWM, author = "Michael R. Fellows and Frances A. Rosamond and Udi Rotics and Stefan Szeider", title = "Clique-width minimization is {NP}-hard", crossref = "ACM:2006:PTE", pages = "354--362", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Feldman:2006:HAT, author = "Vitaly Feldman", title = "Hardness of approximate two-level logic minimization and {PAC} learning with membership queries", crossref = "ACM:2006:PTE", pages = "363--372", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Impagliazzo:2006:CER, author = "Russell Impagliazzo", title = "Can every randomized algorithm be derandomized?", crossref = "ACM:2006:PTE", pages = "373--374", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Feige:2006:FSB, author = "Uriel Feige and Mohammad Mahdian", title = "Finding small balanced separators", crossref = "ACM:2006:PTE", pages = "375--384", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Khandekar:2006:GPU, author = "Rohit Khandekar and Satish Rao and Umesh Vazirani", title = "Graph partitioning using single commodity flows", crossref = "ACM:2006:PTE", pages = "385--390", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Nesetril:2006:LTL, author = "Jaroslav Ne{\v{s}}et{\v{r}}il and Patrice Ossona de Mendez", title = "Linear time low tree-width partitions and algorithmic consequences", crossref = "ACM:2006:PTE", pages = "391--400", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kawarabayashi:2006:ALC, author = "Ken-ichi Kawarabayashi and Bojan Mohar", title = "Approximating the list-chromatic number and the chromatic number in minor-closed and odd-minor-closed classes of graphs", crossref = "ACM:2006:PTE", pages = "401--416", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gurvits:2006:HPA, author = "Leonid Gurvits", title = "Hyperbolic polynomials approach to {Van der Waerden\slash Schrijver--Valiant} like conjectures: sharper bounds, simpler proofs and algorithmic applications", crossref = "ACM:2006:PTE", pages = "417--426", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Aharonov:2006:PQA, author = "Dorit Aharonov and Vaughan Jones and Zeph Landau", title = "A polynomial quantum algorithm for approximating the {Jones} polynomial", crossref = "ACM:2006:PTE", pages = "427--436", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dinur:2006:FTB, author = "Irit Dinur and Ehud Friedgut and Guy Kindler and Ryan O'Donnell", title = "On the {Fourier} tails of bounded functions over the discrete cube", crossref = "ACM:2006:PTE", pages = "437--446", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Regev:2006:LPN, author = "Oded Regev and Ricky Rosen", title = "Lattice problems and norm embeddings", crossref = "ACM:2006:PTE", pages = "447--456", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Reingold:2006:PWR, author = "Omer Reingold and Luca Trevisan and Salil Vadhan", title = "Pseudorandom walks on regular digraphs and the {RL} vs. {L} problem", crossref = "ACM:2006:PTE", pages = "457--466", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Plandowski:2006:EAS, author = "Wojciech Plandowski", title = "An efficient algorithm for solving word equations", crossref = "ACM:2006:PTE", pages = "467--476", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{DeMarzo:2006:OTA, author = "Peter DeMarzo and Ilan Kremer and Yishay Mansour", title = "Online trading algorithms and robust option pricing", crossref = "ACM:2006:PTE", pages = "477--486", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Panagiotou:2006:APM, author = "Konstantinos Panagiotou and Alexander Souza", title = "On adequate performance measures for paging", crossref = "ACM:2006:PTE", pages = "487--496", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Rao:2006:ECN, author = "Anup Rao", title = "Extractors for a constant number of polynomially small min-entropy independent sources", crossref = "ACM:2006:PTE", pages = "497--506", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Nordstrom:2006:NPM, author = "Jakob Nordstr{\"o}m", title = "Narrow proofs may be spacious: separating space and width in resolution", crossref = "ACM:2006:PTE", pages = "507--516", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Andrews:2006:LHD, author = "Matthew Andrews and Lisa Zhang", title = "Logarithmic hardness of the directed congestion minimization problem", crossref = "ACM:2006:PTE", pages = "517--526", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chuzhoy:2006:HCP, author = "Julia Chuzhoy and Sanjeev Khanna", title = "Hardness of cut problems in directed graphs", crossref = "ACM:2006:PTE", pages = "527--536", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Devanur:2006:IGS, author = "Nikhil R. Devanur and Subhash A. Khot and Rishi Saket and Nisheeth K. Vishnoi", title = "Integrality gaps for sparsest cut and minimum linear arrangement problems", crossref = "ACM:2006:PTE", pages = "537--546", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Karloff:2006:EDM, author = "Howard Karloff and Subhash Khot and Aranyak Mehta and Yuval Rabani", title = "On earthmover distance, metric labeling, and $0$-extension", crossref = "ACM:2006:PTE", pages = "547--556", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ailon:2006:ANN, author = "Nir Ailon and Bernard Chazelle", title = "Approximate nearest neighbors and the fast {Johnson--Lindenstrauss} transform", crossref = "ACM:2006:PTE", pages = "557--563", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Arya:2006:II, author = "Sunil Arya and Theocharis Malamatos and David M. Mount", title = "On the importance of idempotence", crossref = "ACM:2006:PTE", pages = "564--573", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cole:2006:SDP, author = "Richard Cole and Lee-Ad Gottlieb", title = "Searching dynamic point sets in spaces with bounded doubling dimension", crossref = "ACM:2006:PTE", pages = "574--583", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Angluin:2006:LCI, author = "Dana Angluin and James Aspnes and Jiang Chen and Yinghua Wu", title = "Learning a circuit by injecting values", crossref = "ACM:2006:PTE", pages = "584--593", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gavinsky:2006:BEQ, author = "Dmitry Gavinsky and Julia Kempe and Oded Regev and Ronald de Wolf", title = "Bounded-error quantum state identification and exponential separations in communication complexity", crossref = "ACM:2006:PTE", pages = "594--603", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Hallgren:2006:LQC, author = "Sean Hallgren and Cristopher Moore and Martin R{\"o}tteler and Alexander Russell and Pranab Sen", title = "Limitations of quantum coset states for graph isomorphism", crossref = "ACM:2006:PTE", pages = "604--617", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ambainis:2006:NQL, author = "Andris Ambainis and Robert {\v{S}}palek and Ronald de Wolf", title = "A new quantum lower bound method,: with applications to direct product theorems and time-space tradeoffs", crossref = "ACM:2006:PTE", pages = "618--633", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Zhang:2006:NUL, author = "Shengyu Zhang", title = "New upper and lower bounds for randomized and quantum local search", crossref = "ACM:2006:PTE", pages = "634--643", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dobzinski:2006:TRM, author = "Shahar Dobzinski and Noam Nisan and Michael Schapira", title = "Truthful randomized mechanisms for combinatorial auctions", crossref = "ACM:2006:PTE", pages = "644--652", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fischer:2006:FCW, author = "Simon Fischer and Harald R{\"a}cke and Berthold V{\"o}cking", title = "Fast convergence to {Wardrop} equilibria by adaptive sampling methods", crossref = "ACM:2006:PTE", pages = "653--662", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Fleischer:2006:SCS, author = "Lisa Fleischer and Jochen K{\"o}nemann and Stefano Leonardi and Guido Sch{\"a}fer", title = "Simple cost sharing schemes for multicommodity rent-or-buy and stochastic {Steiner} tree", crossref = "ACM:2006:PTE", pages = "663--670", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Barak:2006:SDS, author = "Boaz Barak and Anup Rao and Ronen Shaltiel and Avi Wigderson", title = "$2$-source dispersers for sub-polynomial entropy and {Ramsey} graphs beating the {Frankl--Wilson} construction", crossref = "ACM:2006:PTE", pages = "671--680", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Zuckerman:2006:LDE, author = "David Zuckerman", title = "Linear degree extractors and the inapproximability of max clique and chromatic number", crossref = "ACM:2006:PTE", pages = "681--690", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kamp:2006:DES, author = "Jesse Kamp and Anup Rao and Salil Vadhan and David Zuckerman", title = "Deterministic extractors for small-space sources", crossref = "ACM:2006:PTE", pages = "691--700", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Akavia:2006:BOW, author = "Adi Akavia and Oded Goldreich and Shafi Goldwasser and Dana Moshkovitz", title = "On basing one-way functions on {NP}-hardness", crossref = "ACM:2006:PTE", pages = "701--710", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", note = "See erratum \cite{Akavia:2010:EBO}.", acknowledgement = ack-nhfb, } @InProceedings{Dubrov:2006:RCE, author = "Bella Dubrov and Yuval Ishai", title = "On the randomness complexity of efficient sampling", crossref = "ACM:2006:PTE", pages = "711--720", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bansal:2006:QPU, author = "Nikhil Bansal and Amit Chakrabarti and Amir Epstein and Baruch Schieber", title = "A quasi-{PTAS} for unsplittable flow on line graphs", crossref = "ACM:2006:PTE", pages = "721--729", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Garg:2006:MAF, author = "Naveen Garg and Amit Kumar", title = "Minimizing average flow time on related machines", crossref = "ACM:2006:PTE", pages = "730--738", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Levi:2006:PNO, author = "Retsef Levi and Robin O. Roundy and David B. Shmoys", title = "Provably near-optimal sampling-based algorithms for stochastic inventory control models", crossref = "ACM:2006:PTE", pages = "739--748", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Klein:2006:SSP, author = "Philip N. Klein", title = "A subset spanner for planar graphs, with application to subset {TSP}", crossref = "ACM:2006:PTE", pages = "749--756", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chekuri:2006:EDP, author = "Chandra Chekuri and Sanjeev Khanna and F. Bruce Shepherd", title = "Edge-disjoint paths in planar graphs with constant congestion", crossref = "ACM:2006:PTE", pages = "757--766", year = "2006", bibdate = "Thu May 25 06:19:54 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Haitner:2007:SHC, author = "Iftach Haitner and Omer Reingold", title = "Statistically-hiding commitment from any one-way function", crossref = "ACM:2007:SPA", pages = "1--10", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250792", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We give a construction of statistically-hiding commitment schemes (ones where the hiding property holds information theoretically), based on the minimal cryptographic assumption that one-way functions exist. Our construction employs two-phase commitment schemes, recently constructed by Nguyen, Ong and Vadhan (FOCS '06), and universal one-way hash functions introduced and constructed by Naor and Yung (STOC '89) and Rompel (STOC '90).", acknowledgement = ack-nhfb, keywords = "cryptography; one-way functions; statistically hiding and computationally binding commitment", } @InProceedings{Katz:2007:ABB, author = "Jonathan Katz", title = "On achieving the 'best of both worlds' in secure multiparty computation", crossref = "ACM:2007:SPA", pages = "11--20", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250793", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Two settings are typically considered for secure multiparty computation, depending on whether or not a majority of the parties are assumed to be honest. Protocols designed under this assumption provide `full security' (and, in particular, guarantee output delivery and fairness) when this assumption is correct; however, if half or more of the parties are dishonest then security is completely compromised. On the other hand, protocols tolerating arbitrarily-many faults do not provide fairness or guaranteed output delivery even if only a single party is dishonest. It is natural to wonder whether it is possible to achieve the `best of both worlds': namely, a single protocol that simultaneously achieves the best possible security in both the above settings. Ishai, et al. (Crypto 2006) recently addressed this question, and ruled out constant-round protocols of this type.\par As our main result, we completely settle the question by ruling out protocols using any (expected) polynomial number of rounds. Given this stark negative result, we then ask what can be achieved if we are willing to assume simultaneous message transmission (or, equivalently, a non-rushing adversary). In this setting, we show that impossibility still holds for logarithmic-round protocols. We also show, for any polynomial $p$, a protocol (whose round complexity depends on $p$ ) that can be simulated to within closeness {$ O(1 / p) $}.", acknowledgement = ack-nhfb, keywords = "secure computation", } @InProceedings{Ishai:2007:ZKS, author = "Yuval Ishai and Eyal Kushilevitz and Rafail Ostrovsky and Amit Sahai", title = "Zero-knowledge from secure multiparty computation", crossref = "ACM:2007:SPA", pages = "21--30", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250794", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present a general construction of a zero-knowledge proof for an NP relation {$ R(x, w) $} which only makes a black-box use of a secure protocol for a related multi-party functionality $f$. The latter protocol is only required to be secure against a small number of `honest but curious' players. As an application, we can translate previous results on the efficiency of secure multiparty computation to the domain of zero-knowledge, improving over previous constructions of efficient zero-knowledge proofs. In particular, if verifying {$R$} on a witness of length $m$ can be done by a circuit {$C$} of size $s$, and assuming one-way functions exist, we get the following types of zero-knowledge proof protocols.\par \begin{description} \item[Approaching the witness length.] If {$C$} has constant depth over $ \land $, $ \lor $, $ \oplus $, $ \lnot $ gates of unbounded fan-in, we get a zero-knowledge protocol with communication complexity $m$ \cdot$ \poly (k) $ \cdot$ \polylog (s) $, where $k$ is a security parameter. Such a protocol can be implemented in either the standard interactive model or, following a trusted setup, in a non-interactive model.\par \item[`Constant-rate' zero-knowledge.] For an arbitrary circuit {$C$} of size $s$ and a bounded fan-in, we get a zero-knowledge protocol with communication complexity {$ O(s) + \poly (k) $}. Thus, for large circuits, the ratio between the communication complexity and the circuit size approaches a constant. This improves over the {$ O(k s) $} complexity of the best previous protocols.\par \end{description}", acknowledgement = ack-nhfb, keywords = "black-box reductions; cryptography; secure computation; zero-knowledge", } @InProceedings{Chan:2007:VDC, author = "Timothy M. Chan and Mihai P{\u{a}}tra{\c{s}}cu", title = "{Voronoi} diagrams in $ n \cdot 2^{o(\sqrt {(\lg \lg n)})} $ time", crossref = "ACM:2007:SPA", pages = "31--39", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250796", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We reexamine fundamental problems from computational geometry in the allword RAM model, where input coordinates are integers that fit in a machine word. We develop a new algorithm for offline point location, a two-dimensional analog of sorting where one needs to order points with respect to segments. This result implies, for example, that the Voronoi diagram of $n$ points in the plane can be constructed in (randomized) time $n$ \cdot{$ 2^{O(\sqrt {(\lg \lg n)})} $}. Similar bounds hold for numerous other geometric problems, such as three-dimensional convex hulls, planar Euclidean minimum spanning trees, line segment intersection, and triangulation of non-simple polygons.\par In FOCS'06, we developed a data structure for online point location, which implied a bound of {$ O(n \lg n) / (\lg \lg n) $} for Voronoi diagrams and the other problems. Our current bounds are dramatically better, and a convincing improvement over the classic {$ O(n \lg n) $} algorithms. As in the field of integer sorting, the main challenge is to find ways to manipulate information, while avoiding the online problem (in that case, predecessor search).", acknowledgement = ack-nhfb, keywords = "computational geometry; convex hulls; point location; segment intersection; sorting; word-RAM algorithms", } @InProceedings{Patrascu:2007:LBD, author = "Mihai Patrascu", title = "Lower bounds for 2-dimensional range counting", crossref = "ACM:2007:SPA", pages = "40--46", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250797", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Proving lower bounds for range queries has been an active topic of research since the late 70s, but so far nearly all results have been limited to the (rather restrictive) semigroup model. We consider one of the most basic range problem, orthogonal range counting in two dimensions, and show almost optimal bounds in the group model and the (holy grail) cell-probe model.\par Specifically, we show the following bounds, which were known in the semigroup model, but are major improvements in the more general models:* In the group and cell-probe models, a static data structure of size {$ n \lg^{O(1)} n $} requires {$ \Omega (\lg n \lg \lg n) $} time per query. This is an exponential improvement over previous bounds, and matches known upper bounds.* In the group model, a dynamic data structure takes time {$ \Omega ((\lg n \lg \lg n)^2) $} per operation. This is close to the {$ O(\lg^2 n) $} upper bound, where as the previous lower bound was {$ \Omega (\lg n) $}.\par Proving such (static and dynamic) bounds in the group model has been regarded as an important challenge at least since [Fredman, JACM 1982] and [Chazelle, FOCS 1986].", acknowledgement = ack-nhfb, keywords = "cell-probe complexity; lower bounds; orthogonal range queries", } @InProceedings{Basu:2007:CCM, author = "Saugata Basu", title = "Combinatorial complexity in {$O$}-minimal geometry", crossref = "ACM:2007:SPA", pages = "47--56", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250798", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In this paper we prove tight bounds on the combinatorial and topological complexity of sets dened in terms of $n$ denable sets belonging to some fixed denable family of sets in an $o$-minimal structure. This generalizes the combinatorial parts of similar bounds known in the case of semi-algebraic and semi-Pfaffian sets, and as a result vastly increases the applicability of results on combinatorial and topological complexity of arrangements studied in discrete and computational geometry. As a sample application, we extend a Ramsey-type theorem due to Alon et al. [3], originally proved for semi-algebraic sets of fixed description complexity to this more general setting.", acknowledgement = ack-nhfb, keywords = "$O$-minimal structures; Betti numbers; combinatorial complexity", } @InProceedings{Furer:2007:FIM, author = "Martin F{\"u}rer", title = "Faster integer multiplication", crossref = "ACM:2007:SPA", pages = "57--66", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250800", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "For more than 35 years, the fastest known method for integer multiplication has been the Sch{\"o}nhage-Strassen algorithm running in time {$ O(n \log n \log \log n) $}. Under certain restrictive conditions there is a corresponding {$ \Omega (n \log n) $} lower bound. The prevailing conjecture has always been that the complexity of an optimal algorithm is {$ \Theta (n \log n) $}. We present a major step towards closing the gap from above by presenting an algorithm running in time {$ n \log n, 2^{O(\log * n)} $}.\par The main result is for Boolean circuits as well as for multitape Turing machines, but it has consequences to other models of computation as well.", acknowledgement = ack-nhfb, keywords = "complexity; computer arithmetic; discrete Fourier transform; FFT; integer multiplication", } @InProceedings{Bjorklund:2007:FMM, author = "Andreas Bj{\"o}rklund and Thore Husfeldt and Petteri Kaski and Mikko Koivisto", title = "{Fourier} meets {M{\"o}bius}: fast subset convolution", crossref = "ACM:2007:SPA", pages = "67--74", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250801", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present a fast algorithm for the subset convolution problem: given functions $f$ and $g$ defined on the lattice of subsets of an $n$-element set $n$, compute their subset convolution $ f * g $, defined for {$ S \subseteq N $} by {$ [(f * g)(S) = [T \subseteq S] f(T) g(S / T)] $} where addition and multiplication is carried out in an arbitrary ring. Via M{\"o}bius transform and inversion, our algorithm evaluates the subset convolution in {$ O(n^2 2^n) $} additions and multiplications, substantially improving upon the straightforward {$ O(3^n) $} algorithm. Specifically, if the input functions have an integer range {$ [ - M, - M + 1, \ldots {}, M] $}, their subset convolution over the ordinary sum--product ring can be computed in {$ \tilde {O}(2^n \log M) $} time; the notation {$ \tilde {O} $} suppresses polylogarithmic factors. Furthermore, using a standard embedding technique we can compute the subset convolution over the max--sum or min--sum semiring in {$ \tilde {O}(2^n M) $} time.\par To demonstrate the applicability of fast subset convolution, we present the first {$ \tilde {O}(2^k n^2 + n m) $} algorithm for the Steiner tree problem in graphs with $n$ vertices, $k$ terminals, and $m$ edges with bounded integer weights, improving upon the {$ \tilde {O}(3^k n + 2^k n^2 + n m) $} time bound of the classical Dreyfus-Wagner algorithm. We also discuss extensions to recent {$ \tilde {O}(2^n) $}-time algorithms for covering and partitioning problems (Bj{\"o}rklund and Husfeldt, FOCS 2006; Koivisto, FOCS 2006).", acknowledgement = ack-nhfb, keywords = "convolution; M{\"o}bius transform; Steiner tree", } @InProceedings{Nissim:2007:SSS, author = "Kobbi Nissim and Sofya Raskhodnikova and Adam Smith", title = "Smooth sensitivity and sampling in private data analysis", crossref = "ACM:2007:SPA", pages = "75--84", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250803", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We introduce a new, generic framework for private data analysis. The goal of private data analysis is to release aggregate information about a data set while protecting the privacy of the individuals whose information the data set contains. Our framework allows one to release functions $f$ of the data with instance-based additive noise. That is, the noise magnitude is determined not only by the function we want to release, but also by the database itself. One of the challenges is to ensure that the noise magnitude does not leak information about the database. To address that, we calibrate the noise magnitude to the smooth sensitivity of $f$ on the database $x$ --- a measure of variability of $f$ in the neighborhood of the instance $x$. The new framework greatly expands the applicability of output perturbation, a technique for protecting individuals' privacy by adding a small amount of random noise to the released statistics. To our knowledge, this is the first formal analysis of the effect of instance-based noise in the context of data privacy.\par Our framework raises many interesting algorithmic questions. Namely,to apply the framework one must compute or approximate the smooth sensitivity of $f$ on $x$. We show how to do this efficiently for several different functions, including the median and the cost of the minimum spanning tree. We also give a generic procedure based on sampling that allows one to release $ f(x) $ accurately on many databases $x$. This procedure is applicable even when no efficient algorithm for approximating smooth sensitivity of $f$ is known or when $f$ is given as a black box. We illustrate the procedure by applying it to $k$-SED ($k$-means) clustering and learning mixtures of Gaussians.", acknowledgement = ack-nhfb, keywords = "clustering; output perturbation; privacy preserving data mining; private data analysis; sensitivity", } @InProceedings{Dwork:2007:PPL, author = "Cynthia Dwork and Frank McSherry and Kunal Talwar", title = "The price of privacy and the limits of {LP} decoding", crossref = "ACM:2007:SPA", pages = "85--94", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250804", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "This work is at the intersection of two lines of research. One line, initiated by Dinurand Nissim, investigates the price, in accuracy, of protecting privacy in a statistical database. The second, growing from an extensive literature on compressed sensing (see in particular the work of Donoho and collaborators [4,7,13,11])and explicitly connected to error-correcting codes by Cand{\`e}s and Tao ([4]; see also [5,3]), is in the use of linear programming for error correction.\par Our principal result is the discovery of a sharp threshold $ \rho $ *$ \angle $ 0.239, so that if $ \rho $ A is a random $ m \times n $ encoding matrix of independently chosen standard Gaussians, where {$ m = O(n) $}, then with overwhelming probability over choice of {$A$}, for all {$ x \in R^n $}, LP decoding corrects $ \lfloor \rho m \rfloor $ arbitrary errors in the encoding {$ A x $}, while decoding can be made to fail if the error rate exceeds $ \rho * $. Our bound resolves an open question of Cand{\`e}s, Rudelson, Tao, and Vershynin [3] and (oddly, but explicably) refutes empirical conclusions of Donoho [11] and Cand{\`e}s et al [3]. By scaling and rounding we can easily transform these results to obtain polynomial-time decodable random linear codes with polynomial-sized alphabets tolerating any $ \rho $. \par In the context of privacy-preserving datamining our results say that any privacy mechanism, interactive or non-interactive, providing reasonably accurate answers to a 0.761 fraction of randomly generated weighted subset sum queries, and arbitrary answers on the remaining 0.239 fraction, is blatantly non-private.", acknowledgement = ack-nhfb, keywords = "basis pursuit; compressed sensing; LP decoding; privacy", } @InProceedings{Kenyon-Mathieu:2007:HRF, author = "Claire Kenyon-Mathieu and Warren Schudy", title = "How to rank with few errors", crossref = "ACM:2007:SPA", pages = "95--103", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250806", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present a polynomial time approximation scheme (PTAS) for the minimum feedback arc set problem on tournaments. A simple weighted generalization gives a PTAS for Kemeny-Young rank aggregation.", acknowledgement = ack-nhfb, keywords = "approximation algorithm; feedback arc set; Kemeny--Young rank aggregation; max acyclic subgraph; polynomial-time approximation scheme; tournament graphs", } @InProceedings{Guha:2007:AAB, author = "Sudipto Guha and Kamesh Munagala", title = "Approximation algorithms for budgeted learning problems", crossref = "ACM:2007:SPA", pages = "104--113", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250807", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present the first approximation algorithms for a large class of budgeted learning problems. One classic example of the above is the budgeted multi-armed bandit problem. In this problem each arm of the band it has an unknown reward distribution on which a prior is specified as input. The knowledge about the underlying distribution can be refined in the exploration phase by playing the arm and observing the rewards. However, there is a budget on the total number of plays allowed during exploration. After this exploration phase,the arm with the highest (posterior) expected reward is chosen for exploitation. The goal is to design the adaptive exploration phase subject to a budget constraint on the number of plays, in order to maximize the expected reward of the arm chosen for exploitation. While this problem is reasonably well understood in the infinite horizon discounted reward setting, the budgeted version of the problem is NP-Hard. For this problem and several generalizations, we provide approximate policies that achieve a reward within constant factor of the reward optimal policy. Our algorithms use a novel linear program rounding technique based on stochastic packing.", acknowledgement = ack-nhfb, keywords = "algorithms; approximation; learning", } @InProceedings{Asadpour:2007:AAM, author = "Arash Asadpour and Amin Saberi", title = "An approximation algorithm for max-min fair allocation of indivisible goods", crossref = "ACM:2007:SPA", pages = "114--121", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250808", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In this paper we give the first approximation algorithm for the problem of max-min fair allocation of indivisible goods. The approximation ratio of our algorithm is {$ \Omega (1 / (\sqrt {k} \log^3 k)) $}. As a part of our algorithm, we design an iterative method for rounding a fractional matching on a tree which might be of independent interest.", acknowledgement = ack-nhfb, keywords = "approximation algorithms; game theory; randomized rounding", } @InProceedings{Bayati:2007:SDA, author = "Mohsen Bayati and David Gamarnik and Dimitriy Katz and Chandra Nair and Prasad Tetali", title = "Simple deterministic approximation algorithms for counting matchings", crossref = "ACM:2007:SPA", pages = "122--127", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250809", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We construct a deterministic fully polynomial time approximation scheme (FPTAS) for computing the total number of matchings in a bounded degree graph. Additionally, for an arbitrary graph, we construct a deterministic algorithm for computing approximately the number of matchings within running time {$ \exp (O(\sqrt {n} \log^2 n)) $}, where $n$ is the number of vertices.\par Our approach is based on the correlation decay technique originating in statistical physics. Previously this approach was successfully used for approximately counting the number of independent sets and colorings in some classes of graphs [1, 24, 6].Thus we add another problem to the small, but growing, class of P-complete problems for which there is now a deterministic FPTAS.", acknowledgement = ack-nhfb, keywords = "correlation decay; FPTAS; matching; partition function", } @InProceedings{Mossel:2007:SIS, author = "Elchanan Mossel and Sebastien Roch", title = "On the submodularity of influence in social networks", crossref = "ACM:2007:SPA", pages = "128--134", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250811", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We prove and extend a conjecture of Kempe, Kleinberg, and Tardos (KKT) on the spread of influence in social networks.\par A social network can be represented by a directed graph where the nodes are individuals and the edges indicate a form of social relationship. A simple way to model the diffusion of ideas, innovative behavior, or `word-of-mouth' effects on such a graph is to consider an increasing process of `infected' (or active) nodes: each node becomes infected once an activation function of the set of its infected neighbors crosses a certain threshold value. Such a model was introduced by KKT in [7,8] where the authors also impose several natural assumptions: the threshold values are (uniformly) random to account for our lack of knowledge of the true values; and the activation functions are monotone and submodular, i.e. have `diminishing returns.' The monotonicity condition indicates that a node is more likely to become active if more of its neighbors are active, while the submodularity condition, indicates that the marginal effect of each neighbor is decreasing when the set of active neighbors increases.\par For an initial set of active nodes $s$, let $ \sigma $ (S) denote the expected number of active nodes at termination. Here we prove a conjecture of KKT: we show that the function $ \sigma $ (S) is submodular under the assumptions above. We prove the same result for the expected value of any monotone, submodular function of the set of active nodes at termination.\par In other words, our results demonstrate that `local' submodularity is preserved `globally' under diffusion processes. This is of natural computational interest, as many optimization problems have good approximation algorithms for submodular functions. In particular, our results coupled with an argument in [7] imply that a greedy algorithm gives an $ (1 - 1 / e - \epsilon) $-approximation algorithm for maximizing $ \sigma $ (S) among all sets $s$ of a given size. This result has important practical implications for many social network analysis problems, notably viral marketing.", acknowledgement = ack-nhfb, keywords = "coupling; social networks; submodularity; viral marketing", } @InProceedings{Borgs:2007:FME, author = "Christian Borgs and Jennifer Chayes and Constantinos Daskalakis and Sebastien Roch", title = "First to market is not everything: an analysis of preferential attachment with fitness", crossref = "ACM:2007:SPA", pages = "135--144", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250812", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "The design of algorithms on complex networks, such as routing, ranking or recommendation algorithms, requires a detailed understanding of the growth characteristics of the networks of interest, such as the Internet,the web graph, social networks or online communities. To this end, preferential attachment, in which the popularity (or relevance) of a node is determined by its degree, is a well-known and appealing random graph model, whose predictions are in accordance with experiments on the web graph and several social networks. However, its central assumption, that the popularity of the nodes depends only on their degree, is not a realistic one, since every node has potentially some intrinsic quality which can differentiate its attractiveness from other nodes with similar degrees.\par In this paper, we provide a rigorous analysis of preferential attachment with fitness, suggested by Bianconi and Barab{\'a}si and studied by Motwani and Xu, in which the degree of a vertex is scaled by its quality to determine its attractiveness. Including quality considerations in the classical preferential attachment model provides a much more realistic description of many complex networks, such as the web graph, and allows to observe a much richer behavior in the growth dynamics of these networks. Specifically, depending on the shape of the distribution from which the qualities of the vertices are drawn, we observe three distinct phases, namely a first-mover-advantage phase, a fit-get-richer phase and an innovation-pays-off phase. We precisely characterize the properties of the quality distribution that result in each of these phases and we compute the exact growth dynamics for each phase. The dynamics provide rich information about the quality of the vertices, which can be very useful in many practical contexts, including ranking algorithms for the web, recommendation algorithms, as well as the study of social networks.", acknowledgement = ack-nhfb, keywords = "Bose--Einstein condensation; LYA urns; P{\'o} preferential attachment; random graphs", } @InProceedings{Andrews:2007:SMW, author = "Matthew Andrews and Kyomin Jung and Alexander Stolyar", title = "Stability of the max-weight routing and scheduling protocol in dynamic networks and at critical loads", crossref = "ACM:2007:SPA", pages = "145--154", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250813", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We study the stability of the max-weight protocol for combined routing and scheduling in communication networks. Previous work has shown that this protocol is stable for adversarial multicommodity traffic in subcritically loaded static networks and for single-commodity traffic in critically loaded dynamic networks. We show: The max-weight protocol is stable for adversarial multicommodity traffic in adversarial dynamic networks whenever the network is subcritically loaded. The max-weight protocol is stable for fixed multicommodity traffic in fixed networks even if the network is critically loaded.\par The latter result has implications for the running time of the max-weight protocol when it is used to solve multicommodity flow problems. In particular, for a fixed problem instance we show that if the value of the optimum solution is known, the max-weight protocol finds a flow that is within a (1-$ \epsilon $ )-factor of optimal in time {$ O(1 / \epsilon) $} (improving the previous bound of {$ O(1 / \epsilon^2) $}). If the value of the optimum solution is not known, we show how to apply the max-weight algorithm in a binary search procedure that runs in {$ O(1 / \epsilon) $} time.", acknowledgement = ack-nhfb, keywords = "routing; scheduling; stability", } @InProceedings{Attiya:2007:TBA, author = "Hagit Attiya and Keren Censor", title = "Tight bounds for asynchronous randomized consensus", crossref = "ACM:2007:SPA", pages = "155--164", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250814", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "A distributed consensus algorithm allows $n$ processes to reach a common decision value starting from individual inputs. Wait-free consensus, in which a process always terminates within a finite number of its own steps, is impossible in an asynchronous shared-memory system. However, consensus becomes solvable using randomization when a process only has to terminate with probability 1. Randomized consensus algorithms are typically evaluated by their total step complexity, which is the expected total number of steps taken by all processes.\par This work proves that the total step complexity of randomized consensus is {$ \Theta (n^2) $} in an asynchronous shared memory system using multi-writer multi-reader registers. The bound is achieved by improving both the lower and the upper bounds for this problem.\par In addition to improving upon the best previously known result by a factor of $ \log^2 n $, the lower bound features a greatly streamlined proof. Both goals are achieved through restricting attention to a set of layered executions and using an isoperimetric inequality for analyzing their behavior.\par The matching algorithm decreases the expected total step complexity by a $ \log n $ factor, by leveraging the multi-writing capability of the shared registers. Its correctness proof is facilitated by viewing each execution of the algorithm as a stochastic process and applying Kolmogorov's inequality.", acknowledgement = ack-nhfb, keywords = "distributed computing; isoperimetric inequality; lower bound; randomized algorithms; shared-memory", } @InProceedings{Chuzhoy:2007:HRC, author = "Julia Chuzhoy and Venkatesan Guruswami and Sanjeev Khanna and Kunal Talwar", title = "Hardness of routing with congestion in directed graphs", crossref = "ACM:2007:SPA", pages = "165--178", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250816", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Given as input a directed graph on $n$ vertices and a set of source-destination pairs, we study the problem of routing the maximum possible number of source-destination pairs on paths, such that at most {$ c(N) $} paths go through any edge. We show that the problem is hard to approximate within an {$ N^\Omega (1 / c(N)) $} factor even when we compare to the optimal solution that routes pairs on edge-disjoint paths, assuming NP doesn't have {$ N^{O(\log logN)} $}-time randomized algorithms. Here the congestion {$ c(N) $} can be any function in the range {$ 1 \leq c(N) \leq \alpha \log N / \log \log N $} for some absolute constant $ \alpha > 0 $. The hardness result is in the right ballpark since a factor {$ N^{O(1 / c(N))} $} approximation algorithm is known for this problem, via rounding a natural multicommodity-flow relaxation. We also give a simple integrality gap construction that shows that the multicommodity-flow relaxation has an integrality gap of {$ N^{\Omega (1 / c)} $} for $c$ ranging from $1$ to {$ \Theta ((\log n) / (\log \log n)) $}.\par A solution to the routing problem involves selecting which pairs to be routed and what paths to assign to each routed pair. Two natural restrictions can be placed on input instances to eliminate one of these aspects of the problem complexity. The first restriction is to consider instances with perfect completeness; an optimal solution is able to route all pairs with congestion 1 in such instances. The second restriction to consider is the unique paths property where each source-destination pair has a unique path connecting it in the instance. An important aspect of our result is that it holds on instances with any one of these two restrictions. Our hardness construction with the perfect completeness restriction allows us to conclude that the directed congestion minimization problem, where the goal is to route all pairs with minimum congestion, is hard to approximate to within a factor of {$ \Omega (\log N / \log \log N) $}. On the other hand, the hardness construction with unique paths property allows us to conclude an {$ N^{\Omega (1 / c)} $} inapproximability bound also for the all-or-nothing flow problem. This is in a sharp contrast to the undirected setting where the all-or-nothing flow problem is known to be approximable to within a poly-logarithmic factor.", acknowledgement = ack-nhfb, keywords = "all-or-nothing flow; congestion minimization; edge-disjoint paths; hardness of approximation; integrality gap; multicommodity flow", } @InProceedings{Chuzhoy:2007:PFC, author = "Julia Chuzhoy and Sanjeev Khanna", title = "Polynomial flow-cut gaps and hardness of directed cut problems", crossref = "ACM:2007:SPA", pages = "179--188", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250817", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We study the multicut and the sparsest cut problems in directed graphs. In the multicut problem, we are a given an $n$-vertex graph {$G$} along with $k$ source-sink pairs, and the goal is to find the minimum cardinality subset of edges whose removal separates all source-sink pairs. The sparsest cut problem has the same input, but the goal is to find a subset of edges to delete so as to minimize the ratio of deleted edges to the number of source-sink pairs that are separated by this deletion. The natural linear programming relaxation for multicut corresponds, by LP-duality, to the well-studied maximum (fractional) multicommodity flow problem, while the natural LP-relaxation for sparsest cut corresponds to maximum concurrent flow. Therefore, the integrality gap of the linear programming relaxation for multicut/sparsest cut is also the flow-cut gap: the maximum ratio, achievable for any graph,between the maximum flow value and the minimum cost solution for the corresponding cut problem. Starting with the celebrated max flow-mincut theorem of Ford and Fulkerson, flow-cut gaps have played a central role in combinatorial optimization. For many NP-hard network optimization problems, the best known approximation guarantee corresponds to our understanding of the appropriate flow-cut gap.\par Our first result is that the flow-cut gap between maximum multicommodity flow and minimum multicut is ~{$ \Omega $} (n$^{1 / 7}$ ) in directed graphs. We show a similar result for the gap between maximum concurrent flow and sparsest cut in directed graphs. These results improve upon a long-standing lower bound of {$ \Omega (\log n) $} for both types of flow-cut gaps. We notice that these polynomially large flow-cut gaps are in a sharp contrast to the undirected setting where both these flow-cut gaps are known to be {$ \Theta (\log n) $}. Our second result is that both directed multicut and sparsest cut are hard to approximate to within a factor of {$ 2^{\Omega (log{1 - \epsilon }n)} $} for any constant $ \epsilon > 0 $, unless NP $ \subseteq $ ZPP. This improves upon the recent {$ \Omega (\log n / \log \log n) $}-hardness result for these problems. We also show that existence of PCP's for NP with perfect completeness, polynomially small soundness, and constant number of queries would imply a polynomial factor hardness of approximation for both these problems. All our results hold for directed acyclic graphs.", acknowledgement = ack-nhfb, keywords = "concurrent flow; directed multicut; directed sparsest cut; flow-cut gaps; hardness of approximation; multicommodity flow", } @InProceedings{Austrin:2007:BMS, author = "Per Austrin", title = "Balanced {MAX 2-SAT} might not be the hardest", crossref = "ACM:2007:SPA", pages = "189--197", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250818", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We show that, assuming the Unique Games Conjecture, it is NP-hard to approximate MAX2SAT within {$ \alpha_{LLZ}^- $} +$ \epsilon $, where {$ 0.9401 < \alpha_{\rm LLZ} < 0.9402 $} is the believed approximation ratio of the algorithm of Lewin, Livnat and Zwick [28].\par This result is surprising considering the fact that balanced instances of MAX2SAT, i.e., instances where each variable occurs positively and negatively equally often, can be approximated within 0.9439. In particular, instances in which roughly 68\% of the literals are unnegated variables and 32\% are negated appear less amenable to approximation than instances where the ratio is 50\%--50\%.", acknowledgement = ack-nhfb, keywords = "inapproximability; Max 2-Sat; unique games conjecture", } @InProceedings{Guruswami:2007:QPI, author = "Venkatesan Guruswami and Prasad Raghavendra", title = "A 3-query {PCP} over integers", crossref = "ACM:2007:SPA", pages = "198--206", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250819", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "A classic result due to Haastad established that for every constant $ \epsilon $ > 0, given an overdetermined system of linear equations over a finite field {$ F_q $} where each equation depends on exactly 3 variables and at least a fraction $ (1 - \epsilon) $ of the equations can be satisfied, it is NP-hard to satisfy even a fraction $ (1 / q + \epsilon) $ of the equations.\par In this work, we prove the analog of H{\aa}stad's result for equations over the integers (as well as the reals). Formally, we prove that for every $ \epsilon $, $ \delta > 0 $, given a system of linear equations with integer coefficients where each equation is on 3 variables, it is NP-hard to distinguish between the following two cases: (i) There is an assignment of integer values to the variables that satisfies at least a fraction $ (1 - \epsilon) $ of the equations, and (ii) No assignment even of real values to the variables satisfies more than a fraction $ \delta $ of the equations.", acknowledgement = ack-nhfb, keywords = "hardness of approximation; linearity testing; probabilistically checkable proofs; sparse linear equations", } @InProceedings{Dunagan:2007:ICP, author = "John Dunagan and Nicholas J. A. Harvey", title = "Iteratively constructing preconditioners via the conjugate gradient method", crossref = "ACM:2007:SPA", pages = "207--216", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250821", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We consider the problem of solving a symmetric, positive definite system of linear equations. The most well-known and widely-used method for solving such systems is the preconditioned Conjugate Gradient method. The performance of this method depends crucially on knowing a good preconditioner matrix. We show that the Conjugate Gradient method itself can produce good preconditioners as a by-product. These preconditioners allow us to derive new asymptotic bounds on the time to solve multiple related linear systems.", acknowledgement = ack-nhfb, keywords = "conjugate gradient method; preconditioning", } @InProceedings{Kiefer:2007:CNM, author = "Stefan Kiefer and Michael Luttenberger and Javier Esparza", title = "On the convergence of {Newton}'s method for monotone systems of polynomial equations", crossref = "ACM:2007:SPA", pages = "217--226", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250822", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Monotone systems of polynomial equations (MSPEs) are systems of fixed-point equations {$ X_1 = f_1 (X_1, \ldots {}, X_n), \ldots {}, X_n = f_n (X_1, \ldots {}, X_n) $} where each $ f_i $ is a polynomial with positive real coefficients. The question of computing the least non-negative solution of a given MSPE {$ X = f(X) $} arises naturally in the analysis of stochastic context-free grammars, recursive Markov chains, and probabilistic pushdown automata. While the Kleene sequence $ f(0), f(f(0)), \ldots {} $ always converges to the least solution $ \mu f $, if it exists, the number of iterations needed to compute the first $i$ bits of $ \mu f $ may grow exponentially in $i$. Etessami and Yannakakis have recently adapted Newton's iterative method to MSPEs and proved that the Newton sequence converges at least as fast as the Kleene sequence and exponentially faster in many cases. They conjecture that, given an MSPE of size $m$, the number of Newton iterations needed to obtain $i$ accurate bits of $ \mu f $ grows polynomially in $i$ and $m$. In this paper we show that the number of iterations grows linearly in $i$ for strongly connected MSPEs and may grow exponentially in $m$ for general MSPEs.", acknowledgement = ack-nhfb, keywords = "fixed-point equations; formal verification of software; Newton's method; probabilistic pushdown systems", } @InProceedings{Arora:2007:CPD, author = "Sanjeev Arora and Satyen Kale", title = "A combinatorial, primal-dual approach to semidefinite programs", crossref = "ACM:2007:SPA", pages = "227--236", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250823", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Semidefinite programs (SDP) have been used in many recent approximation algorithms. We develop a general primal-dual approach to solve SDPs using a generalization of the well-known multiplicative weights update rule to symmetric matrices. For a number of problems, such as Sparsest Cut and Balanced Separator in undirected and directed weighted graphs, and the Min UnCut problem, this yields combinatorial approximation algorithms that are significantly more efficient than interior-point methods. The design of our primal-dual algorithms is guided by a robust analysis of rounding algorithms used to obtain integer solutions from fractional ones.", acknowledgement = ack-nhfb, keywords = "balanced separator; matrix multiplicative weights; min UnCut; semidefinite programming; sparsest cut", } @InProceedings{Gilbert:2007:OSA, author = "A. C. Gilbert and M. J. Strauss and J. A. Tropp and R. Vershynin", title = "One sketch for all: fast algorithms for compressed sensing", crossref = "ACM:2007:SPA", pages = "237--246", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250824", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Compressed Sensing is a new paradigm for acquiring the compressible signals that arise in many applications. These signals can be approximated using an amount of information much smaller than the nominal dimension of the signal. Traditional approaches acquire the entire signal and process it to extract the information. The new approach acquires a small number of nonadaptive linear measurements of the signal and uses sophisticated algorithms to determine its information content. Emerging technologies can compute these general linear measurements of a signal at unit cost per measurement.\par This paper exhibits a randomized measurement ensemble and a signal reconstruction algorithm that satisfy four requirements: 1. The measurement ensemble succeeds for all signals, with high probability over the random choices in its construction. 2. The number of measurements of the signal is optimal, except for a factor polylogarithmic in the signal length. 3. The running time of the algorithm is polynomial in the amount of information in the signal and polylogarithmic in the signal length. 4. The recovery algorithm offers the strongest possible type of error guarantee. Moreover, it is a fully polynomial approximation scheme with respect to this type of error bound.\par Emerging applications demand this level of performance. Yet no other algorithm in the literature simultaneously achieves all four of these desiderata.", acknowledgement = ack-nhfb, keywords = "approximation; embedding; group testing; sketching; sparse approximation; sublinear algorithms", } @InProceedings{Lynch:2007:DCT, author = "Nancy A. Lynch", title = "Distributed computing theory: algorithms, impossibility results, models, and proofs", crossref = "ACM:2007:SPA", pages = "247--247", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250826", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, keywords = "distributed computing theory", } @InProceedings{Vu:2007:CNR, author = "Van H. Vu and Terence Tao", title = "The condition number of a randomly perturbed matrix", crossref = "ACM:2007:SPA", pages = "248--255", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250828", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Let {$M$} be an arbitrary $n$ by $n$ matrix. We study the condition number a random perturbation {$ M + N_n $} of {$M$}, where {$ N_n $} is a random matrix. It is shown that, under very general conditions on {$M$} and {$ M_n $}, the condition number of {$ M + N_n $} is polynomial in $n$ with very high probability. The main novelty here is that we allow {$ N_n $} to have discrete distribution.", acknowledgement = ack-nhfb, keywords = "singular values", } @InProceedings{Talwar:2007:BAW, author = "Kunal Talwar and Udi Wieder", title = "Balanced allocations: the weighted case", crossref = "ACM:2007:SPA", pages = "256--265", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250829", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We investigate balls-and-bins processes where $m$ weighted balls a replaced into $n$ bins using the `power of two choices' paradigm,whereby a ball is inserted into the less loaded of two randomly chosen bins. The case where each of the $m$ balls has unit weight had been studied extensively. In a seminal paper Azar et.al. showed that when $ m = n $ the most loaded bin has {$ \Theta (\log \log n) $} balls with high probability. Surprisingly, the gap in load between the heaviest bin and the average bin does not increase with $m$ and was shown by Berenbrink et al to be {$ \Theta (\log \log n) $} with high probability for arbitrarily large $m$. We generalize this result to the weighted case where balls have weights drawn from an arbitrary weight distribution. We show that as long as the weight distribution has finite second moment and satisfies a mild technical condition, the gap between the weight of the heaviest bin and the weight of the average bin is independent of the number balls thrown. This is especially striking when considering heavy tailed distributions such as Power-Law and Log-Normal distributions. In these cases, as more balls are thrown,heavier and heavier weights are encountered. Nevertheless with high probability, the imbalance in the load distribution does not increase. Furthermore, if the fourth moment of the weight distribution is finite, the expected value of the gap is shown to be independent of the number of balls.", acknowledgement = ack-nhfb, keywords = "balls and bins; the multiple choice paradigm", } @InProceedings{Yekhanin:2007:TQL, author = "Sergey Yekhanin", title = "Towards 3-query locally decodable codes of subexponential length", crossref = "ACM:2007:SPA", pages = "266--274", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250830", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "A q-query Locally Decodable Code (LDC) encodes an $n$-bit message $x$ as an $n$-bit codeword {$ C(x) $}, such that one can probabilistically recover any bit $ x_i $ of the message by querying only $q$ bits of the codeword {$ C(x) $}, even after some constant fraction of codeword bits has been corrupted. We give new constructions of three query LDCs of vastly shorter length than that of previous constructions. Specifically, given any Mersenne prime $ p = 2^t - 1 $, we design three query LDCs of length {$ N = (n^{1 / t}) $}, for every $n$. Based on the largest known Mersenne prime, this translates to a length of less than $ \exp (n^{10^{-7}}) $, compared to $ \exp (n^{1 / 2}) $ in the previous constructions. It has often been conjectured that there are infinitely many Mersenne primes. Under this conjecture, our constructions yield three query locally decodable codes of length {$ N = \exp (n^{O(1 / (\log \log n))}) $} for infinitely many $n$.\par We also obtain analogous improvements for Private Information Retrieval (PIR) schemes. We give 3-server PIR schemes with communication complexity of {$ O(n^{10^{-7}}) $} to access an $n$-bit database, compared to the previous best scheme with complexity {$ O(n^{1 / 5.25}) $}. Assuming again that there are infinitely many Mersenne primes, we get 3-server PIR schemes of communication complexity {$ n^{O(1 / (\log \log n))} $} for infinitely many $n$.\par Previous families of LDCs and PIR schemes were based on the properties of low-degree multivariate polynomials over finite fields. Our constructions are completely different and are obtained by constructing a large number of vectors in a small dimensional vector space whose inner products are restricted to lie in an algebraically nice set.", acknowledgement = ack-nhfb, keywords = "locally decodable codes; Mersenne primes; private information retrieval", } @InProceedings{Santhanam:2007:CLB, author = "Rahul Santhanam", title = "Circuit lower bounds for {Merlin--Arthur} classes", crossref = "ACM:2007:SPA", pages = "275--283", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250832", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, keywords = "advice; average-case lower bounds; circuit lower bounds; Merlin--Arthur games; pseudo-random generators", } @InProceedings{Shpilka:2007:IDA, author = "Amir Shpilka", title = "Interpolation of depth-3 arithmetic circuits with two multiplication gates", crossref = "ACM:2007:SPA", pages = "284--293", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250833", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, keywords = "arithmetic circuits; depth-3; exact learning; interpolation", } @InProceedings{Sherstov:2007:SAD, author = "Alexander A. Sherstov", title = "Separating {AC$^0$} from depth-2 majority circuits", crossref = "ACM:2007:SPA", pages = "294--301", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250834", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We prove that AC$^0$ cannot be efficiently simulated by MAJ${}^\circ $MAJ circuits. Namely, we construct an AC$^0$ circuit of depth 3 that requires MAJ${}^\circ $MAJ circuits of size {$ 2^\Omega (n^{1 / 5}) $}. This matches Allender's classic result that AC$^0$ can be simulated by MAJ${}^\circ $MAJ${}^\circ $MAJ circuits of quasipolynomial size.\par Our proof is based on communication complexity. To obtain the above result, we develop a novel technique for communication lower bounds, the Degree/Discrepancy Theorem. This technique is a separate contribution of our paper. It translates lower bounds on the threshold degree of a Boolean function into upper bounds on the discrepancy of a related function. Upper bounds on the discrepancy, in turn, immediately imply communication lower bounds as well as lower bounds against threshold circuits.\par As part of our proof, we use the Degree/Discrepancy Theorem to obtain an explicit AC$^0$ circuit of depth 3 that has discrepancy {$ 2^{- \Omega (n^{1 / 5})} $}, under an explicit distribution. This yields the first known AC$^0$ function with exponentially small discrepancy. Finally, we apply our work to learning theory, showing that polynomial-size DNF and CNF formulas have margin complexity {$ 2^{\Omega (n^{1 / 5})} $}.", acknowledgement = ack-nhfb, keywords = "AC$^0$; communication complexity; discrepancy; threshold circuits", } @InProceedings{Schoenebeck:2007:TIG, author = "Grant Schoenebeck and Luca Trevisan and Madhur Tulsiani", title = "Tight integrality gaps for {Lov{\'a}sz--Schrijver} {LP} relaxations of vertex cover and max cut", crossref = "ACM:2007:SPA", pages = "302--310", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250836", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We study linear programming relaxations of Vertex Cover and Max Cut arising from repeated applications of the `lift-and-project' method of Lov{\'a}sz and Schrijver starting from the standard linear programming relaxation.\par For Vertex Cover, Arora, Bollobas, Lov{\'a}sz and Tourlakis prove that the integrality gap remains at least $ 2 - \epsilon $ after {$ \Omega_{\epsilon } (\log n) $} rounds, where $n$ is the number of vertices, and Tourlakis proves that integrality gap remains at least $ 1.5 - \epsilon $ after {$ \Omega ((\log n)^2) $} rounds. Fernandez de la Vega and Kenyon prove that the integrality gap of Max Cut is at most $ 12 + \epsilon $ after any constant number of rounds. (Their result also applies to the more powerful Sherali--Adams method.)\par We prove that the integrality gap of Vertex Cover remains at least $ 2 - \epsilon $ after {$ \Omega_{\epsilon }(n) $} rounds, and that the integrality gap of Max Cut remains at most $ 1 / 2 + \epsilon $ after {$ \Omega_{\epsilon }(n) $} rounds.", acknowledgement = ack-nhfb, keywords = "approximation algorithms; integrality gap; linear programming; Lov{\'a}sz--Schrijver hierarchy", } @InProceedings{Dantchev:2007:RCG, author = "Stefan S. Dantchev", title = "Rank complexity gap for {Lov{\'a}sz--Schrijver} and Sherali--Adams proof systems", crossref = "ACM:2007:SPA", pages = "311--317", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250837", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We prove a dichotomy theorem for the rank of the uniformly generated (i.e. expressible in First-Order (FO) Logic) propositional tautologies in both the Lov{\'a}sz--Schrijver (LS) and Sherali--Adams (SA) proof systems. More precisely, we first show that the propositional translations of FO formulae that are universally true, i.e. hold in all finite and infinite models, have LS proofs whose rank is constant, independently from the size of the (finite) universe. In contrast to that, we prove that the propositional formulae that hold in all finite models but fail in some infinite structure require proofs whose SA rank grows poly-logarithmically with the size of the universe.\par Up to now, this kind of so-called `Complexity Gap' theorems have been known for Tree-like Resolution and, in somehow restricted forms, for the Resolution and Nullstellensatz proof systems. As far as we are aware, this is the first time the Sherali--Adams lift-and-project method has been considered as a propositional proof system. An interesting feature of the SA proof system is that it is static and rank-preserving simulates LS, the Lov{\'a}sz--Schrijver proof system without semidefinite cuts.", acknowledgement = ack-nhfb, keywords = "complexity gap theorems; lift and project methods; Lov{\'a}sz--Schrijver proof system; lower bounds; propositional proof complexity", } @InProceedings{Pagh:2007:LPC, author = "Anna Pagh and Rasmus Pagh and Milan Ruzic", title = "Linear probing with constant independence", crossref = "ACM:2007:SPA", pages = "318--327", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250839", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Hashing with linear probing dates back to the 1950s, and is among the most studied algorithms. In recent years it has become one of the most important hash table organizations since it uses the cache of modern computers very well. Unfortunately, previous analyses rely either on complicated and space consuming hash functions, or on the unrealistic assumption of free access to a truly random hash function. Already Carter and Wegman, in their seminal paper on universal hashing, raised the question of extending their analysis to linear probing.\par However, we show in this paper that linear probing using a pairwise independent family may have expected logarithmic cost per operation. On the positive side, we show that 5-wise independence is enough to ensure constant expected time per operation. This resolves the question of finding a space and time efficient hash function that provably ensures good performance for linear probing.", acknowledgement = ack-nhfb, keywords = "hashing; linear probing", } @InProceedings{Franceschini:2007:OSS, author = "Gianni Franceschini and S. Muthukrishnan", title = "Optimal suffix selection", crossref = "ACM:2007:SPA", pages = "328--337", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250840", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Given a string {$ S[1 \cdots n] $}, the suffix selection problem is to find the $k$-th lexicographically smallest amongst the $n$ suffixes {$ S[i \cdots n] $}, for $ i = 1, \ldots {}, n $. In particular, the fundamental question is if selection can be performed more efficiently than sorting all the suffixes.\par If one considered $n$ numbers, they can be sorted using {$ \Theta (n \log n) $} comparisons and the classical result from 70's is that selection can be done using {$ O(n) $} comparisons. Thus selection is provably more efficient than sorting, for $n$ numbers.\par Suffix sorting can be done using {$ \Theta (n \log n) $} comparisons, but does suffix selection need suffix sorting? We settle this fundamental problem by presenting an optimal, deterministic algorithm for suffix selection using {$ O(n) $} comparisons.", acknowledgement = ack-nhfb, keywords = "order statistics; selection; strings; suffixes", } @InProceedings{Dobzinski:2007:LVB, author = "Shahar Dobzinski and Noam Nisan", title = "Limitations of {VCG}-based mechanisms", crossref = "ACM:2007:SPA", pages = "338--344", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250842", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We consider computationally-efficient incentive-compatible mechanisms that use the VCG payment scheme, and study how well they can approximate the social welfare in auction settings. We present a novel technique for setting lower bounds on the approximation ratio of this type of mechanisms. Specifically, for combinatorial auctions among submodular (and thus also subadditive) bidders we prove an {$ \Omega (m^{1 / 6}) $} lower bound, which is close to the known upper bound of {$ O(m^{1 / 2}) $}, and qualitatively higher than the constant factor approximation possible from a purely computational point of view.", acknowledgement = ack-nhfb, keywords = "combinatorial auctions; incentive compatibility", } @InProceedings{Hart:2007:CCU, author = "Sergiu Hart and Yishay Mansour", title = "The communication complexity of uncoupled {Nash} equilibrium procedures", crossref = "ACM:2007:SPA", pages = "345--353", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250843", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We study the question of how long it takes players to reach a Nash equilibrium in uncoupled setups, where each player initially knows only his own payoff function. We derive lower bounds on the communication complexity of reaching a Nash equilibrium, i.e., on the number of bits that need to be transmitted, and thus also on the required number of steps. Specifically, we show lower bounds that are exponential in the number of players in each one of the following cases: (1) reaching a pure Nash equilibrium; (2) reaching a pure Nash equilibrium in a Bayesian setting; and (3) reaching a mixed Nash equilibrium. We then show that, in contrast, the communication complexity of reaching a correlated equilibrium is polynomial in the number of players.", acknowledgement = ack-nhfb, keywords = "communication complexity; computational game theory", } @InProceedings{Wu:2007:PRD, author = "Fang Wu and Li Zhang", title = "Proportional response dynamics leads to market equilibrium", crossref = "ACM:2007:SPA", pages = "354--363", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250844", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "One of the main reasons of the recent success of peer to peer (P2P)file sharing systems such as BitTorrent is their built-in tit-for-tat mechanism. In this paper, we model the bandwidth allocation in a P2P system as an exchange economy and study a tit-for-tat dynamics, namely the proportional response dynamics, in this economy. In a proportional response dynamics each player distributes its good to its neighbors proportional to the utility it received from them in the last period. We show that this dynamics not only converges but converges to a market equilibrium, a standard economic characterization of efficient exchanges in a competitive market. In addition, for some classes of utility functions we consider, it converges much faster than the classical tat process and any existing algorithms for computing market equilibria.\par As a part of our proof we study the double normalization of a matrix, an operation that linearly scales the rows of a matrix so that each row sums to a prescribed positive number, followed by a similar scaling of the columns. We show that the iterative double normalization process of any non-negative matrix always converges. This complements the previous studies in matrix scaling that has focused on the convergence condition of the process when the row and column normalizations are considered as separate steps.", acknowledgement = ack-nhfb, keywords = "matrix equilibrium; matrix scaling; peer to peer sharing; proportional response dynamics", } @InProceedings{Jain:2007:EGM, author = "Kamal Jain and Vijay V. Vazirani", title = "{Eisenberg--Gale} markets: algorithms and structural properties", crossref = "ACM:2007:SPA", pages = "364--373", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250845", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We define a new class of markets, the Eisenberg--Gale markets. This class contains Fisher's linear market, markets from the resource allocation framework of Kelly, as well as numerous interesting new markets. We obtain combinatorial, strongly polynomial algorithms for several markets in this class.\par Our algorithms have a simple description as ascending price auctions. Our algorithms lead to insights into the efficiency, fairness, rationality of solutions, and competition monotonicity of these markets. A classification of Eisenberg--Gale markets w.r.t. these properties reveals a surprisingly rich set of possibilities.", acknowledgement = ack-nhfb, keywords = "convex programs; equilibria; KKT conditions; markets; primal-dual algorithms; resource allocation", } @InProceedings{Heggernes:2007:ICF, author = "Pinar Heggernes and Christophe Paul and Jan Arne Telle and Yngve Villanger", title = "Interval completion with few edges", crossref = "ACM:2007:SPA", pages = "374--381", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250847", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present an algorithm with runtime {$ O(k^{(2k)} n^3 * m) $} for the following NP-complete problem: Given an arbitrary graph {$G$} on $n$ vertices and $m$ edges, can we obtain an interval graph by adding at most $k$ new edges to {$G$}? This resolves the long-standing open question, first posed by Kaplan, Shamir and Tarjan, of whether this problem could be solved in time {$ f(k) * n^{O(1)} $}. The problem has applications in Physical Mapping of DNA and in Profile Minimization for Sparse Matrix Computations. For the first application, our results show tractability for the case of a small number $k$ of false negative errors, and for the second, a small number $k$ of zero elements in the envelope.\par Our algorithm performs bounded search among possible ways of adding edges to a graph to obtain an interval graph, and combines this with a greedy algorithm when graphs of a certain structure are reached by the search. The presented result is surprising, as it was not believed that a bounded search tree algorithm would suffice to answer the open question affirmatively.", acknowledgement = ack-nhfb, keywords = "branching; edge completion; FPT algorithm; interval graphs; physical mapping; profile minimization", } @InProceedings{Kawarabayashi:2007:CCN, author = "Ken-ichi Kawarabayashi and Buce Reed", title = "Computing crossing number in linear time", crossref = "ACM:2007:SPA", pages = "382--390", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250848", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We show that for every fixed $k$, there is a linear time algorithm that decides whether or not a given graph has crossing number at most $k$, and if this is the case, computes a drawing of the graph in the plane with at most $k$ crossings. This answers the question posed by Grohe (STOC'01 and JCSS 2004). Our algorithm can be viewed as a generalization of the seminal result by Hopcroft and Tarjan lin1, which determines if a given graph is planar in linear time.\par Our algorithm can also be compared to the algorithms by Mohar (STOC'96 and Siam J. Discrete Math 2001), for testing the embeddability of an input graph in a fixed surface. For each surface $s$, Mohar describes an algorithm which yields either an embedding of {$G$} in $s$ or a minor of {$G$} which is not embeddable in $s$ and is minimal with this property.\par The same approach allows us to obtain linear time algorithms for the same question for a variety of other crossing numbers. We can also determine in linear time if an input graph can be made planar by the deletion of $k$ edges (for fixed $k$ ).", acknowledgement = ack-nhfb, keywords = "crossing number; linear time algorithm; tree-width", } @InProceedings{Anshelevich:2007:TBM, author = "Elliot Anshelevich and Adriana Karagiozova", title = "Terminal backup, {$3$D} matching, and covering cubic graphs", crossref = "ACM:2007:SPA", pages = "391--400", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250849", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We define a problem called Simplex Matching, and show that it is solvable in polynomial time. While Simplex Matching is interesting in its own right as a nontrivial extension of non-bipartite min-cost matching, its main value lies in many(seemingly very different) problems that can be solved using our algorithm. For example, suppose that we are given a graph with terminal nodes, non-terminal nodes, and edge costs. Then, the Terminal Backup problem, which consists of finding the cheapest forest connecting every terminal to at least one other terminal, is reducible to Simplex Matching. Simplex Matching is also useful for various tasks that involve forming groups of at least two members, such as project assignment and variants of facility location.\par In an instance of Simplex Matching, we are given a hypergraph {$H$} with edge costs, and edge size at most 3. We show how to find the min-cost perfect matching of {$H$} efficiently, if the edge costs obey a simple and realistic inequality that we call the SimplexCondition. The algorithm we provide is relatively simple to understand and implement, but difficult to prove correct. In the process of this proof we show some powerful new results about covering cubic graphs with simple combinatorial objects.", acknowledgement = ack-nhfb, keywords = "polynomial time; simplex matching; terminal backup", } @InProceedings{Cai:2007:HAA, author = "Jin-Yi Cai and Pinyan Lu", title = "Holographic algorithms: from art to science", crossref = "ACM:2007:SPA", pages = "401--410", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250850", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We develop the theory of holographic algorithms. We define a basis manifold and give characterizations of algebraic varieties of realizable symmetric generators and recognizers on this manifold. We present a polynomial time decision algorithm for the simultaneous realizability problem. Using the general machinery we are able to give unexpected holographic algorithms for some counting problems, modulo certain Mersenne type integers. These counting problems are P-complete without the moduli. Going beyond symmetric signatures, we define $d$-admissibility and $d$-realizability for general signatures, and give a characterization of $2$-admissibility.", acknowledgement = ack-nhfb, keywords = "holographic algorithms; matchgates; signatures", } @InProceedings{Holenstein:2007:PRS, author = "Thomas Holenstein", title = "Parallel repetition: simplifications and the no-signaling case", crossref = "ACM:2007:SPA", pages = "411--419", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250852", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Consider a game where a refereed chooses $ (x, y) $ according to a publicly-known distribution {$ P_X Y $}, sends $x$ to Alice, and $y$ to Bob. Without communicating with each other, Alice responds with a value `$a$' and Bob responds with a value `$b$'. Alice and Bob jointly win if a publicly-known predicate {$ Q(x, y, a, b) $} holds. Let such a game be given and assume that the maximum probability that Alice and Bob can win is $ v < 1 $. Raz (SIAM J. Comput. 27, 1998) shows that if the game is repeated $n$ times in parallel, then the probability that Alice and Bob win all games simultaneously is at most $ v'^{(n / \log (s))} $, where $s$ is the maximal number of possible responses from Alice and Bob in the initial game, and $ v' $ is a constant depending only on $v$. In this work, we simplify Raz's proof in various ways and thus shorten it significantly. Further we study the case where Alice and Bob are not restricted to local computations and can use any strategy which does not imply communication among them.", acknowledgement = ack-nhfb, keywords = "parallel repetition; probabilistically checkable proofs", } @InProceedings{Pass:2007:EPR, author = "Rafael Pass and Muthuramakrishnan Venkitasubramaniam", title = "An efficient parallel repetition theorem for {Arthur--Merlin} games", crossref = "ACM:2007:SPA", pages = "420--429", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250853", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We show a parallel-repetition theorem for constant-round Arthur--Merlin Games, using an efficient reduction. As a consequence, we show that parallel repetition reduces the soundness-error at an optimal rate (up to a negligible factor) in constant-round public-coin argument systems, and constant-round public-coinproofs of knowledge. The former of these results resolves an open question posed by Bellare, Impagliazzo and Naor (FOCS '97).", acknowledgement = ack-nhfb, keywords = "Arthur--Merlin games; computationally-sound arguments; parallel repetition; proofs of knowledge; public-coin protocols", } @InProceedings{Shaltiel:2007:LEU, author = "Ronen Shaltiel and Christopher Umans", title = "Low-end uniform hardness vs. randomness tradeoffs for {AM}", crossref = "ACM:2007:SPA", pages = "430--439", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250854", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In 1998, Impagliazzo and Wigderson [18] proved a hardness vs. randomness tradeoff for BPP in the uniform setting,which was subsequently extended to give optimal tradeoffs for the full range of possible hardness assumptions by Trevisan and Vadhan [29] (in a slightly weaker setting). In 2003, Gutfreund,Shaltiel and Ta-Shma [11] proved a uniform hardness vs. randomness tradeoff for AM, but that result only worked on the `high-end' of possible hardness assumptions.\par In this work, we give uniform hardness vs. randomness tradeoffs for AM that are near-optimal for the full range of possible hardness assumptions. Following [11], we do this by constructing a hitting-set-generator (HSG) for AM with `resilient reconstruction.' Our construction is a recursive variant of the Miltersen-Vinodchandran HSG [24], the only known HSG construction with this required property. The main new idea is to have the reconstruction procedure operate implicitly and locally on superpolynomially large objects, using tools from PCPs(low-degree testing, self-correction) together with a novel use of extractors that are built from Reed--Muller codes [28, 26] for a sort of locally-computable error-reduction. As a consequence we obtain gap theorems for AM (and AM $ \cap $ coAM) that state, roughly, that either AM (or AM $ \cap $ coAM)protocols running in time t(n) can simulate all of EXP('Arthur--Merlin games are powerful'), or else all of AM (or AM $ \cap $ coAM) can be simulated in nondeterministic time s(n) ('Arthur--Merlin games can be derandomized'), for a near-optimal relationship between t(n) and s(n). As in GST, the case of AM $ \cap $ coAM yields a particularly clean theorem that is of special interest due to the wide array of cryptographic and other problems that lie in this class.", acknowledgement = ack-nhfb, keywords = "Arthur--Merlin games; derandomization; hardness vs. randomness tradeoff; hitting-set generator", } @InProceedings{Goldwasser:2007:VDC, author = "Shafi Goldwasser and Dan Gutfreund and Alexander Healy and Tali Kaufman and Guy N. Rothblum", title = "Verifying and decoding in constant depth", crossref = "ACM:2007:SPA", pages = "440--449", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250855", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We develop a general approach for improving the efficiency of a computationally bounded receiver interacting with a powerful and possibly malicious sender. The key idea we use is that of delegating some of the receiver's computation to the (potentially malicious) sender. This idea was recently introduced by Goldwasser et al. [14] in the area of program checking. A classic example of such a sender-receiver setting is interactive proof systems. By taking the sender to be a (potentially malicious) prover and the receiver to be a verifier, we show that ($p$-prover) interactive proofs with $k$ rounds of interaction are equivalent to ($p$-prover) interactive proofs with k+O(1) rounds, where the verifier is in NC$^0$. That is, each round of the verifier's computation can be implemented in constant parallel time. As a corollary, we obtain interactive proof systems, with (optimally) constant soundness, for languages in AM and NEXP, where the verifier runs in constant parallel-time.\par Another, less immediate sender-receiver setting arises in considering error correcting codes. By taking the sender to be a (potentially corrupted) codeword and the receiver to be a decoder, we obtain explicit families of codes that are locally (list-)decodable by constant-depth circuits of size polylogarithmic in the length of the codeword. Using the tight connection between locally list-decodable codes and average-case complexity, we obtain a new, more efficient, worst-case to average-case reduction for languages in EXP.", acknowledgement = ack-nhfb, keywords = "constant-depth circuits; error-correcting codes; interactive proofs", } @InProceedings{Hayes:2007:RCP, author = "Thomas P. Hayes and Juan C. Vera and Eric Vigoda", title = "Randomly coloring planar graphs with fewer colors than the maximum degree", crossref = "ACM:2007:SPA", pages = "450--458", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250857", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We study Markov chains for randomly sampling $k$-colorings of a graph with maximum degree $ \delta $. Our main result is a polynomial upper bound on the mixing time of the single-site update chain known as the Glauber dynamics for planar graphs when {$ k = \Omega (\delta / \log \delta) $}. Our results can be partially extended to the more general case where the maximum eigenvalue of the adjacency matrix of the graph is at most $ \delta^{1 - \epsilon } $, for fixed $ \epsilon > 0 $.\par The main challenge when $ k \leq \delta + 1 $ is the possibility of `frozen' vertices, that is, vertices for which only one color is possible, conditioned on the colors of its neighbors. Indeed, when {$ \delta = O(1) $}, even a typical coloring can have a constant fraction of the vertices frozen. Our proofs rely on recent advances in techniques for bounding mixing time using `local uniformity' properties.", acknowledgement = ack-nhfb, keywords = "coupling; graph coloring; Markov chain Monte Carlo (MCMC); planar graphs", } @InProceedings{Goldberg:2007:ITP, author = "Leslie Ann Goldberg and Mark Jerrum", title = "Inapproximability of the {Tutte} polynomial", crossref = "ACM:2007:SPA", pages = "459--468", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250858", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "The Tutte polynomial of a graph {$G$} is a two-variable polynomial {$ T(G; x, y) $} that encodes many interesting properties of the graph. We study the complexity of the following problem, for rationals $x$ and $y$: take as input a graph {$G$}, and output a value which is a good approximation to {$ T(G; x, y) $}. We are interested in determining for which points $ (x, y) $ there is a fully polynomial randomised approximation scheme (FPRAS) for {$ T(G; x, y) $}. Our main contribution is a substantial widening of the region known to be non-FPRASable.", acknowledgement = ack-nhfb, keywords = "approximation; complexity; Tutte polynomial", } @InProceedings{Haviv:2007:TBH, author = "Ishay Haviv and Oded Regev", title = "Tensor-based hardness of the shortest vector problem to within almost polynomial factors", crossref = "ACM:2007:SPA", pages = "469--477", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250859", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We show that unless NP $ \subseteq $ RTIME $ (2^{\poly (\log n)}) $, for any $ \epsilon > 0 $ there is no polynomial-time algorithm approximating the Shortest Vector Problem (SVP) on $n$-dimensional lattices in the $ l_p $ norm $ (1 \leq q, p) $. This improves the previous best factor of $ 2^{(\log n) 1 / 2 - \epsilon } $ under the same complexity assumption due to Khot. Under the stronger assumption NP $ \not \subseteq $ RSUBEXP, we obtain a hardness factor of $ n^{c / (\log \log n)} $ for some $ c > 0 $.\par Our proof starts with Khot's SVP instances from that are hard to approximate to within some constant. To boost the hardness factor we simply apply the standard tensor product of lattices. The main novel part is in the analysis, where we show that Khot's lattices behave nicely under tensorization. At the heart of the analysis is a certain matrix inequality which was first used in the context of lattices by de Shalit and Parzanchevski.", acknowledgement = ack-nhfb, keywords = "hardness of approximation; lattices; tensor product", } @InProceedings{Peikert:2007:LAL, author = "Chris Peikert and Alon Rosen", title = "Lattices that admit logarithmic worst-case to average-case connection factors", crossref = "ACM:2007:SPA", pages = "478--487", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250860", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We exhibit an average-case problem that is as hard as finding $ \gamma (n) $-approximate shortest nonzero vectors in certain $n$-dimensional lattices in the worst case, for {$ \gamma (n) = O(\sqrt {\log n}) $}. The previously best known factor for any non-trivial class of lattices was {$ \gamma (n) = \tilde {O}(n) $}.\par Our results apply to families of lattices having special algebraic structure. Specifically, we consider lattices that correspond to ideals in the ring of integers of an algebraic number field. The worst-case problem we rely on is to find approximate shortest vectors in these lattices, under an appropriate form of preprocessing of the number field.\par For the connection factors $ \gamma (n) $ we achieve, the corresponding decision problems on ideal lattices are not known to be NP-hard; in fact, they are in P. However, the search approximation problems still appear to be very hard. Indeed, ideal lattices are well-studied objects in computational number theory, and the best known algorithms for them seem to perform no better than the best known algorithms for general lattices.\par To obtain the best possible connection factor, we instantiate our constructions with infinite families of number fields having constant root discriminant. Such families are known to exist and are computable, though no efficient construction is yet known. Our work motivates the search for such constructions. Even constructions of number fields having root discriminant up to {$ O(n^{2 / 3 - \epsilon }) $} would yield connection factors better than {$ \tilde {O}(n) $}.\par As an additional contribution, we give reductions between various worst-case problems on ideal lattices, showing for example that the shortest vector problem is no harder than the closest vector problem. These results are analogous to previously-known reductions for general lattices.", acknowledgement = ack-nhfb, keywords = "algebraic number theory; lattices; worst-case to average-case reductions", } @InProceedings{Rodl:2007:PTH, author = "V. R{\"o}dl and M. Schacht", title = "Property testing in hypergraphs and the removal lemma", crossref = "ACM:2007:SPA", pages = "488--495", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250862", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Property testers are efficient, randomized algorithms which recognize if an input graph (or other combinatorial structure) satisfies a given property or if it is `far' from exhibiting it. Generalizing several earlier results, Alon and Shapira showed that hereditary graph properties are testable (with one-sided error). In this paper we prove the analogous result for hypergraphs. This result is an immediate consequence of a (hyper)graph theoretic statement, which is an extension of the so-called removal lemma. The proof of this generalization relies on the regularity method for hypergraphs.", acknowledgement = ack-nhfb, keywords = "hereditary properties; hypergraphs; property testing; regularity lemma; removal lemma", } @InProceedings{Alon:2007:TWA, author = "Noga Alon and Alexandr Andoni and Tali Kaufman and Kevin Matulef and Ronitt Rubinfeld and Ning Xie", title = "Testing $k$-wise and almost $k$-wise independence", crossref = "ACM:2007:SPA", pages = "496--505", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250863", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In this work, we consider the problems of testing whether a distribution over $ (0, 1^n) $ is $k$-wise (resp. $ (\epsilon, k) $-wise) independent using samples drawn from that distribution.\par For the problem of distinguishing $k$-wise independent distributions from those that are $ \delta $-far from $k$-wise independence in statistical distance, we upper bound the number of required samples by {$ \tilde {O}(n^k / \delta^2) $} and lower bound it by {$ \Omega (n^{k - 1 / 2} / \delta) $} (these bounds hold for constant $k$, and essentially the same bounds hold for general $k$ ). To achieve these bounds, we use Fourier analysis to relate a distribution's distance from $k$-wise independence to its biases, a measure of the parity imbalance it induces on a set of variables. The relationships we derive are tighter than previously known, and may be of independent interest.\par To distinguish $ (\epsilon, k) $-wise independent distributions from those that are $ \delta $-far from $ (\epsilon, k) $-wise independence in statistical distance, we upper bound the number of required samples by {$ O(k \log n / \delta^2 \epsilon^2) $} and lower bound it by {$ \Omega (\sqrt k \log n / 2^k (\epsilon + \delta) \sqrt {\log 1 / 2^k} (\epsilon + \delta)) $}. Although these bounds are an exponential improvement (in terms of $n$ and $k$ ) over the corresponding bounds for testing $k$-wise independence, we give evidence that the time complexity of testing $ (\epsilon, k) $-wise independence is unlikely to be $ \poly (n, 1 / \epsilon, 1 / \delta) $ for {$ k = \Theta (\log n) $}, since this would disprove a plausible conjecture concerning the hardness of finding hidden cliques in random graphs. Under the conjecture, our result implies that for, say, $ k = \log n $ and $ \epsilon $ = 1 / $ n^{0.99} $, there is a set of $ (\epsilon, k) $-wise independent distributions, and a set of distributions at distance $ \delta = 1 / n^{0.51} $ from $ (\epsilon, k) $-wise independence, which are indistinguishable by polynomial time algorithms.", acknowledgement = ack-nhfb, keywords = "$k$-wise independence; almost $k$-wise independence; Fourier analysis; hidden clique; property testing", } @InProceedings{Samorodnitsky:2007:LDT, author = "Alex Samorodnitsky", title = "Low-degree tests at large distances", crossref = "ACM:2007:SPA", pages = "506--515", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250864", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We define tests of Boolean functions which distinguish between linear (or quadratic) polynomials, and functions which are very far, in an appropriate sense, from these polynomials. The tests have optimal or nearly optimal trade-offs between soundness and the number of queries.\par A central step in our analysis of quadraticity tests is the proof of an inverse theorem for the third Gowers uniformity norm of Boolean functions.\par The last result implies that it is possible to estimate efficiently the distance from the second-order Reed--Muller code on inputs lying far beyond its list-decoding radius.\par Our main technical tools are Fourier analysis on {$ Z_2^n $} and methods from additive number theory. We observe that these methods can be used to give a tight analysis of the Abelian Homomorphism testing problem for some families of groups, including powers of {$ Z_p $}.", acknowledgement = ack-nhfb, keywords = "low-degree tests", } @InProceedings{Gavinsky:2007:ESO, author = "Dmitry Gavinsky and Julia Kempe and Iordanis Kerenidis and Ran Raz and Ronald de Wolf", title = "Exponential separations for one-way quantum communication complexity, with applications to cryptography", crossref = "ACM:2007:SPA", pages = "516--525", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250866", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We give an exponential separation between one-way quantum and classical communication protocols for two partial Boolean functions, both of which are variants of the Boolean Hidden Matching Problem of Bar-Yossef et al. Earlier such an exponential separation was known only for a relational version of the Hidden Matching Problem. Our proofs use the Fourier coefficients inequality of Kahn, Kalai, and Linial. We give a number of applications of this separation. In particular, in the bounded-storage model of cryptography we exhibit a scheme that is secure against adversaries with a certain amount of classical storage, but insecure against adversaries with a similar (or even much smaller) amount of quantum storage; in the setting of privacy amplification, we show that there are strong extractors that yield a classically secure key, but are insecure against a quantum adversary.", acknowledgement = ack-nhfb, keywords = "communication complexity; cryptography; quantum", } @InProceedings{Hoyer:2007:NWM, author = "Peter Hoyer and Troy Lee and Robert Spalek", title = "Negative weights make adversaries stronger", crossref = "ACM:2007:SPA", pages = "526--535", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250867", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "The quantum adversary method is one of the most successful techniques for proving lower bounds on quantum query complexity. It gives optimal lower bounds for many problems, has application to classical complexity in formula size lower bounds, and is versatile with equivalent formulations in terms of weight schemes, eigen values, and Kolmogorov complexity. All these formulations rely on the principle that if an algorithm successfully computes a function then, in particular, it is able to distinguish between inputs which map to different values.\par We present a stronger version of the adversary method which goes beyond this principle to make explicit use of the stronger condition that the algorithm actually computes the function. This new method, which we call ADV+-, has all the advantages of the old: it is a lower bound on bounded-error quantum query complexity, its square is a lower bound on formula size, and it behaves well with respect to function composition. Moreover ADV+- is always at least as large as the adversary method ADV, and we show an example of a monotone function for which ADV+-(f)=Omega(ADV(f)$^{1.098}$ ). We also give examples showing that ADV+- does not face limitations of ADV like the certificate complexity barrier and the property testing barrier.", acknowledgement = ack-nhfb, keywords = "adversary method; certificate complexity barrier; formula size; lower bounds; quantum computing; quantum query complexity", } @InProceedings{Moore:2007:IQS, author = "Cristopher Moore and Alexander Russell and Piotr Sniady", title = "On the impossibility of a quantum sieve algorithm for graph isomorphism", crossref = "ACM:2007:SPA", pages = "536--545", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250868", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "It is known that any quantum algorithm for Graph Isomorphism that works within the framework of the hidden subgroup problem (HSP) must perform highly entangled measurements across {$ \Omega (n \log n) $} coset states. One of the only known models for how such a measurement could be carried out efficiently is Kuperberg's algorithm for the HSP in the dihedral group, in which quantum states are adaptively combined and measured according to the decomposition of tensor products into irreducible representations. This `quantum sieve' starts with coset states, and works its way down towards representations whose probabilities differ depending on, for example, whether the hidden subgroup is trivial or nontrivial.\par In this paper we show that no such approach can produce a polynomial-time quantum algorithm for Graph Isomorphism. Specifically, we consider the natural reduction of Graph Isomorphism to the HSP over the wreath product {$ S_n \wreathproduct Z_2 $}. Using a recently proved bound on the irreducible characters of {$ S_n $}, we show that no algorithm in this family can solve Graph Isomorphism in less than {$ e^{\Omega (\sqrt {n})} $} time, no matter what adaptive rule it uses to select and combine quantum states. In particular, algorithms of this type can offer essentially no improvement over the best known classical algorithms, which run in time {$ e^{O(\sqrt {n \log n})} $}.", acknowledgement = ack-nhfb, keywords = "graph isomorphism problem; quantum computation", } @InProceedings{Kakade:2007:PGA, author = "Sham M. Kakade and Adam Tauman Kalai and Katrina Ligett", title = "Playing games with approximation algorithms", crossref = "ACM:2007:SPA", pages = "546--555", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250870", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In an online linear optimization problem, on each period $t$, an online algorithm chooses {$ s_t \in S $} from a fixed (possibly infinite) set {$S$} of feasible decisions. Nature (who may be adversarial) chooses a weight vector {$ w_t \in R $}, and the algorithm incurs cost $ c(s_t, w_t) $, where $c$ is a fixed cost function that is linear in the weight vector. In the full-information setting, the vector $ w_t $ is then revealed to the algorithm, and in the bandit setting, only the cost experienced, $ c(s_t, w_t) $, is revealed. The goal of the online algorithm is to perform nearly as well as the best fixed {$ s \in S $} in hindsight. Many repeated decision-making problems with weights fit naturally into this framework, such as online shortest-path, online TSP, online clustering, and online weighted set cover.\par Previously, it was shown how to convert any efficient exact offline optimization algorithm for such a problem into an efficient online bandit algorithm in both the full-information and the bandit settings, with average cost nearly as good as that of the best fixed {$ s \in S $} in hindsight. However, in the case where the offline algorithm is an approximation algorithm with ratio $ \alpha > 1 $, the previous approach only worked for special types of approximation algorithms. We show how to convert any offline approximation algorithm for a linear optimization problem into a corresponding online approximation algorithm, with a polynomial blowup in runtime. If the offline algorithm has an $ \alpha $-approximation guarantee, then the expected cost of the online algorithm on any sequence is not much larger than $ \alpha $ times that of the best {$ s \in S $}, where the best is chosen with the benefit of hindsight. Our main innovation is combining Zinkevich's algorithm for convex optimization with a geometric transformation that can be applied to any approximation algorithm. Standard techniques generalize the above result to the bandit setting, except that a `Barycentric Spanner' for the problem is also (provably) necessary as input. Our algorithm can also be viewed as a method for playing large repeated games, where one can only compute approximate best-responses, rather than best-responses.", acknowledgement = ack-nhfb, keywords = "approximation algorithms; online linear optimization; regret minimization", } @InProceedings{Englert:2007:RBG, author = "Matthias Englert and Harald R{\"a}cke and Matthias Westermann", title = "Reordering buffers for general metric spaces", crossref = "ACM:2007:SPA", pages = "556--564", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250871", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In the reordering buffer problem, we are given an input sequence of requests for service each of which corresponds to a point in a metric space. The cost of serving the requests heavily depends on the processing order. Serving a request induces cost corresponding to the distance between itself and the previously served request, measured in the underlying metric space. A reordering buffer with storage capacity $k$ can be used to reorder the input sequence in a restricted fashion so as to construct an output sequence with lower service cost. This simple and universal framework is useful for many applications in computer science and economics, e.g., disk scheduling, rendering in computer graphics, or painting shops in car plants.\par In this paper, we design online algorithms for the reordering buffer problem. Our main result is a strategy with a polylogarithmic competitive ratio for general metric spaces. Previous work on the reordering buffer problem only considered very restricted metric spaces. We obtain our result by first developing a deterministic algorithm for arbitrary weighted trees with a competitive ratio of {$ O(D \cdot \log k) $}, where {$D$} denotes the unweighted diameter of the tree, i.e., the maximum number of edges on a path connecting two nodes. Then we show how to improve this competitive ratio to {$ O(\log^2 k) $} for metric spaces that are derived from HSTs. Combining this result with the results on probabilistically approximating arbitrary metrics by tree metrics, we obtain a randomized strategy for general metric spaces that achieves a competitive ratio of {$ O(\log^2 k \cdot \log n) $} in expectation against an oblivious adversary. Here $n$ denotes the number of distinct points in the metric space. Note that the length of the input sequence can be much larger than $n$.", acknowledgement = ack-nhfb, keywords = "general metric spaces; online algorithms; reordering buffer; sorting buffer", } @InProceedings{Gutoski:2007:TGT, author = "Gus Gutoski and John Watrous", title = "Toward a general theory of quantum games", crossref = "ACM:2007:SPA", pages = "565--574", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250873", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We study properties of quantum strategies, which are complete specifications of a given party's actions in any multiple-round interaction involving the exchange of quantum information with one or more other parties. In particular, we focus on a representation of quantum strategies that generalizes the Choi--Jamiolkowski representation of quantum, with respect to which each strategy is described by a single operations. This new representation associates with each strategy a positive semidefinite operator acting only on the tensor product of its input and output spaces. Various facts about such representations are established, and two applications are discussed: the first is a new and conceptually simple proof of Kitaev's lower bound for strong coin-flipping, and the second is a proof of the exact characterization QRG = EXP of the class of problems having quantum refereed games.", acknowledgement = ack-nhfb, keywords = "Choi--Jamiolkowski representation; coin-flipping; interactive proof systems; quantum game theory; quantum strategies", } @InProceedings{Magniez:2007:SQW, author = "Frederic Magniez and Ashwin Nayak and Jeremie Roland and Miklos Santha", title = "Search via quantum walk", crossref = "ACM:2007:SPA", pages = "575--584", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250874", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We propose a new method for designing quantum search algorithms for finding a `marked' element in the state space of a classical Markov chain. The algorithm is based on a quantum walk {\`a} la Szegedy [25] that is defined in terms of the Markov chain. The main new idea is to apply quantum phase estimation to the quantum walk in order to implement an approximate reflection operator. This operator is then used in an amplitude amplification scheme. As a result we considerably expand the scope of the previous approaches of Ambainis [6] and Szegedy [25]. Our algorithm combines the benefits of these approaches in terms of being able to find marked elements, incurring the smaller cost of the two,and being applicable to a larger class of Markov chain. In addition,it is conceptually simple, avoids several technical difficulties in the previous analyses, and leads to improvements in various aspects of several algorithms based on quantum walk.", acknowledgement = ack-nhfb, keywords = "amplitude amplification; hitting time; Markov chain; phase estimation; phase gap; quantum walk; recursive amplitude amplification; reflection operator; search; spectral gap", } @InProceedings{Vassilevska:2007:APB, author = "Virginia Vassilevska and Ryan Williams and Raphael Yuster", title = "All-pairs bottleneck paths for general graphs in truly sub-cubic time", crossref = "ACM:2007:SPA", pages = "585--589", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250876", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In the all-pairs bottleneck paths (APBP) problem (a.k.a. all-pairs maximum capacity paths), one is given a directed graph with real non-negative capacities on its edges and is asked to determine, for all pairs of vertices $s$ and $t$, the capacity of a single path for which a maximum amount of flow can be routed from $s$ to $t$. The APBP problem was first studied in operations research, shortly after the introduction of maximum flows and all-pairs shortest paths.\par We present the first truly sub-cubic algorithm for APBP in general dense graphs. In particular, we give a procedure for computing the (max, min)-product of two arbitrary matrices over {$ R \cup (\infty, - \infty) $} in {$ O(n^{2 + \Omega / 3}) \leq O(n^{2.792}) $} time, where $n$ is the number of vertices and {$ \Omega $} is the exponent for matrix multiplication over rings. Using this procedure, an explicit maximum bottleneck path for any pair of nodes can be extracted in time linear in the length of the path.", acknowledgement = ack-nhfb, keywords = "bottleneck path; matrix multiplication; maximum capacity path; subcubic", } @InProceedings{Chan:2007:MAA, author = "Timothy M. Chan", title = "More algorithms for all-pairs shortest paths in weighted graphs", crossref = "ACM:2007:SPA", pages = "590--598", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250877", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In the first part of the paper, we reexamine the all-pairs shortest paths (APSP) problem and present a new algorithm with running time approaching {$ O(n^3 / \log^2 n) $}, which improves all known algorithms for general real-weighted dense graphs and is perhaps close to the best result possible without using fast matrix multiplication, modulo a few $ \log \log n $ factors.\par In the second part of the paper, we use fast matrix multiplication to obtain truly subcubic APSP algorithms for a large class of `geometrically weighted' graphs, where the weight of an edge is a function of the coordinates of its vertices. For example, for graphs embedded in Euclidean space of a constant dimension $d$, we obtain a time bound near {$ O(n^{3 - (3 - \omega) / (2d + 4)}) $}, where $ \omega < 2.376 $; in two dimensions, this is {$ O(n^{2.922}) $}. Our framework greatly extends the previously considered case of small-integer-weighted graphs, and incidentally also yields the first truly subcubic result (near {$ O(n^3 - (3 - \omega) / 4) = O(n^{2.844}) $} time) for APSP in real-vertex-weighted graphs, as well as an improved result (near {$ O(n^{(3 + \omega) / 2}) = O(n^{2.688}) $} time) for the all-pairs {\em lightest\/} shortest path problem for small-integer-weighted graphs.", acknowledgement = ack-nhfb, keywords = "computational geometry; graph algorithms; matrix multiplication; shortest paths", } @InProceedings{Pap:2007:SNR, author = "Gyula Pap", title = "Some new results on node-capacitated packing of {$A$}-paths", crossref = "ACM:2007:SPA", pages = "599--604", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250878", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In this paper we propose a (semi-strongly) polynomial time algorithm to find a maximum packing subject to node-capacities, and thus we obtain a generalization of Keijsper, Pendavingh and Stougie algorithm concerning edge-capacities. Our method is based on Gerards' strongly polynomial time algorithm to find a maximum b-matching in a graph, which is based on a so-called Proximity Lemma. Our node-capacitated {$A$}-path packing algorithm first constructs a maximum fractional packing by using an ellipsoid method subroutine, then takes its integer part to obtain a near-optimal integral packing, and finally we construct a maximum integer packing by a short sequence of augmentations. This short sequence of augmentations is constructed by applying the version of Gerards' Proximity Lemma, specially formulated for the node-capacitated {$A$}-path packing problem.\par In addition, we also state some related results on the fractional packing problem. We prove the primal- and dual integrality of the corresponding linear program. We mention that the fractional packing problem reduces to the matroid fractional matching problem.", acknowledgement = ack-nhfb, keywords = "algorithms; node-capacities; paths-packing", } @InProceedings{Hariharan:2007:MGH, author = "Ramesh Hariharan and Telikepalli Kavitha and Debmalya Panigrahi and Anand Bhalgat", title = "An {$ \tilde {O}(m n) $} {Gomory--Hu} tree construction algorithm for unweighted graphs", crossref = "ACM:2007:SPA", pages = "605--614", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250879", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present a fast algorithm for computing a Gomory--Hu tree or cut tree for an unweighted undirected graph {$ G = (V, E) $}. The expected running time of our algorithm is {$ \tilde {O}(m c) $} where {$ |E| = m $} and $c$ is the maximum $u$-$v$ edge connectivity, where {$ u, v \in V $}. When the input graph is also simple (i.e., it has no parallel edges), then the $u$-$v$ edge connectivity for each pair of vertices $u$ and $v$ is at most $ n - 1 $; so the expected running time of our algorithm for simple unweighted graphs is {$ \tilde {O}(m n) $}.\par All the algorithms currently known for constructing a Gomory--Hu tree [8,9] use $ n - 1 $ minimum $s$-$t$ cut (i.e., max flow) subroutines. This in conjunction with the current fastest {$ \tilde {O}(n^{20 / 9}) $} max flow algorithm due to Karger and Levine [11] yields the current best running time of {$ \tilde {O}(n^{20 / 9} n) $} for Gomory--Hu tree construction on simple unweighted graphs with $m$ edges and $n$ vertices. Thus we present the first {$ \tilde {O}(m n) $} algorithm for constructing a Gomory--Hu tree for simple unweighted graphs. We do not use a max flow subroutine here; we present an efficient tree packing algorithm for computing Steiner edge connectivity and use this algorithm as our main subroutine. The advantage in using a tree packing algorithm for constructing a Gomory--Hu tree is that the work done in computing a minimum Steiner cut for a Steiner set {$ S \subseteq V $} can be reused for computing a minimum Steiner cut for certain Steiner sets {$ S' \subseteq S $}.", acknowledgement = ack-nhfb, keywords = "cut tree; edge connectivity; Gomory--Hu tree; min cut; steiner edge connectivity", } @InProceedings{Indyk:2007:UPE, author = "Piotr Indyk", title = "Uncertainty principles, extractors, and explicit embeddings of $ l_2 $ into $ l_1 $", crossref = "ACM:2007:SPA", pages = "615--620", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250881", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We give an explicit construction of a constant distortion embedding {$F$} of $ l_2^n $ into $ l_1^m $, with $ m = n^{1 + o(1)} $. As a bonus, our embedding also has good computational properties: for any input $x$, {$ F x $} can be computed in $ n^{1 + o(1)} $ time. The previously known mappings required {$ \Omega (n^2) $} evaluation time.", acknowledgement = ack-nhfb, keywords = "extractors; norm embeddings; uncertainty principles", } @InProceedings{Brinkman:2007:VCR, author = "Bo Brinkman and Adriana Karagiozova and James R. Lee", title = "Vertex cuts, random walks, and dimension reduction in series-parallel graphs", crossref = "ACM:2007:SPA", pages = "621--630", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250882", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We consider questions about vertex cuts in graphs, random walks in metric spaces, and dimension reduction in {$ L_1 $} and {$ L_2 $}; these topics are intimately connected because they can each be reduced to the existence of various families of real-valued Lipschitz maps on certain metric spaces. We view these issues through the lens of shortest-path metrics on series-parallel graphs, and we discuss the implications for a variety of well-known open problems. Our main results follow.\par Every $n$-point series-parallel metric embeds into $ l_1^{dom} $ with {$ O(\sqrt {\log n}) $} distortion, matching a lower bound of Newman and Rabinovich. Our embeddings yield an {$ O(\sqrt {\log n}) $} approximation algorithm for vertex sparsest cut in such graphs, as well as an {$ O(\sqrt {\log k}) $} approximate max-flow/min-vertex-cut theorem for series-parallel instances with $k$ terminals, improving over the {$ O(\log n) $} and {$ O(\log k) $} bounds for general graphs.\par Every $n$-point series-parallel metric embeds with distortion {$D$} into $ l_1^d $ with {$ d = n^{(1 / \Omega (D^2))} $}, matching the dimension reduction lower bound of Brinkman and Charikar.\par There exists a constant {$ C > 0 $} such that if {$ (X, d) $} is a series-parallel metric then for every stationary, reversible Markov chain {$ {Z_t}_{t = 0}^{\infty } $} on {$X$}, we have for all $ t \geq 0 $, {$ E[d(Z_t, Z_0)^2] \leq C t $}\cdot{$, E[d(Z_0, Z_1)^2]$}. More generally, we show that series-parallel metrics have Markov type 2. This generalizes a result of Naor, Peres, Schramm, and Sheffield for trees.", acknowledgement = ack-nhfb, keywords = "approximation algorithms; dimension reduction; metric embeddings", } @InProceedings{Abraham:2007:LEM, author = "Ittai Abraham and Yair Bartal and Ofer Neiman", title = "Local embeddings of metric spaces", crossref = "ACM:2007:SPA", pages = "631--640", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250883", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In many application areas, complex data sets are often represented by some metric space and metric embedding is used to provide a more structured representation of the data. In many of these applications much greater emphasis is put on the preserving the local structure of the original space than on maintaining its complete structure. This is also the case in some networking applications where `small world' phenomena in communication patterns has been observed. Practical study of embedding has indeed involved with finding embeddings with this property. In this paper we initiate the study of local embeddings of metric spaces and provide embeddings with distortion depending solely on the local structure of the space.", acknowledgement = ack-nhfb, keywords = "metric embedding", } @InProceedings{Deshpande:2007:SBD, author = "Amit Deshpande and Kasturi Varadarajan", title = "Sampling-based dimension reduction for subspace approximation", crossref = "ACM:2007:SPA", pages = "641--650", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250884", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We give a randomized bi-criteria algorithm for the problem of finding a $k$-dimensional subspace that minimizes the {$ L_p $}-error for given points, i.e., $p$-th root of the sum of $p$-th powers of distances to given points,for any $ p \geq 1 $. Our algorithm runs in time {$ \tilde {O}(m n \cdot p k^3 (k / \epsilon)^{2p}) $} and produces a subset of size {$ \tilde {O}(p k^2 (k / \epsilon)^{2p}) $} from the given points such that, with high probability, the span of these points gives a (1+$ \epsilon $ )-approximation to the optimal $k$-dimensional subspace. We also show a dimension reduction type of result for this problem where we can efficiently find a subset of size \tilde{O} (pk$^{2(p + 1)}$ + (k/$ \epsilon $ )$^{p + 2}$ ) such that, with high probability, their span contains a $k$-dimensional subspace that gives (1+$ \epsilon $ )-approximation to the optimum. We prove similar results for the corresponding projective clustering problem where we need to find multiple $k$-dimensional subspaces.", acknowledgement = ack-nhfb, keywords = "subspace approximation", } @InProceedings{Lau:2007:SND, author = "Lap Chi Lau and Joseph (Seffi) Naor and Mohammad R. Salavatipour and Mohit Singh", title = "Survivable network design with degree or order constraints", crossref = "ACM:2007:SPA", pages = "651--660", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250886", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, keywords = "approximation algorithms; bounded degree; iterative rounding; network design; NP-hard problems", } @InProceedings{Singh:2007:AMB, author = "Mohit Singh and Lap Chi Lau", title = "Approximating minimum bounded degree spanning trees to within one of optimal", crossref = "ACM:2007:SPA", pages = "661--670", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250887", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In the Minimum Bounded Degree Spanning Tree problem, we are given an undirected graph with a degree upper bound {$ B_v $} on each vertex v, and the task is to find a spanning tree of minimum cost which satisfies all the degree bounds. Let OPT be the cost of an optimal solution to this problem. In this paper, we present a polynomial time algorithm which returns a spanning tree {$T$} of cost at most OPT and {$ d_T (v) \leq B_v + 1 $} for all $v$, where {$ d_T(v) $} denotes the degree of $v$ in {$T$}. This generalizes a result of F{\"u}rer and Raghavachari [8] to weighted graphs, and settles a 15-year-old conjecture of Goemans [10] affirmatively. The algorithm generalizes when each vertex $v$ has a degree lower bound {$ A_v $} and a degree upper bound {$ B_v $}, and returns a spanning tree with cost at most OPT and {$ A_v - 1 \leq d_T(v) \leq B_v + 1 $} for all $v$. This is essentially the best possible. The main technique used is an extension of the iterative rounding method introduced by Jain [12] for the design of approximation algorithms.", acknowledgement = ack-nhfb, keywords = "approximation algorithm; bounded degree; iterative rounding; spanning trees", } @InProceedings{Agarwal:2007:IAD, author = "Amit Agarwal and Noga Alon and Moses S. Charikar", title = "Improved approximation for directed cut problems", crossref = "ACM:2007:SPA", pages = "671--680", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250888", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present improved approximation algorithms for directed multicut and directed sparsest cut. The current best known approximation ratio for these problems is {$ O(n^{1 / 2}) $}. We obtain an {$ \tilde {O}(n^{11 / 23}) $}-approximation. Our algorithm works with the natural LP relaxation used in prior work. We use a randomized rounding algorithm with a more sophisticated charging scheme and analysis to obtain our improvement. This also implies a {$ \tilde {O}(n^{11 / 23}) $} upper bound on the ratio between the maximum multicommodity flow and minimum multicut in directed graphs.", acknowledgement = ack-nhfb, keywords = "approximation algorithm; directed multicut; directed sparsest cut; linear programming relaxation", } @InProceedings{Donovan:2007:DCN, author = "P. Donovan and B. Shepherd and A. Vetta and G. Wilfong", title = "Degree-constrained network flows", crossref = "ACM:2007:SPA", pages = "681--688", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250889", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "A $d$-furcated flow is a network flow whose support graph has maximum out degree $d$. Take a single-sink multi-commodity flow problem on any network and with any set of routing demands. Then we show that the existence of feasible fractional flow with node congestion one implies the existence of a $d$-furcated flow with congestion at most $ 1 + 1 / (d - 1) $, for $ d \geq 2 $. This result is tight, and so the congestion gap for $d$-furcated flows is bounded and exactly equal to $ 1 + 1 / (d - 1) $. For the case $ d = 1 $ (confluent flows), it is known that the congestion gap is unbounded, namely {$ \Theta (\log n) $}. Thus, allowing single-sink multicommodity network flows to increase their maximum out degree from one to two virtually eliminates this previously observed congestion gap.\par As a corollary we obtain a factor $ 1 + 1 / (d - 1) $-approximation algorithm for the problem of finding a minimum congestion $d$-furcated flow; we also prove that this problem is max SNP-hard. Using known techniques these results also extend to degree-constrained unsplittable routing,where each individual demand must be routed along a unique path.", acknowledgement = ack-nhfb, keywords = "congestion; network flow", } @InProceedings{Beame:2007:LBR, author = "Paul Beame and T. S. Jayram and Atri Rudra", title = "Lower bounds for randomized read\slash write stream algorithms", crossref = "ACM:2007:SPA", pages = "689--698", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250891", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Motivated by the capabilities of modern storage architectures, we consider the following generalization of the data stream model where the algorithm has sequential access to multiple streams. Unlike the data stream model, where the stream is read only, in this new model (introduced in [8,9]) the algorithms can also write onto streams. There is no limit on the size of the streams but the number of passes made on the streams is restricted. On the other hand, the amount of internal memory used by the algorithm is scarce, similar to data stream model.\par We resolve the main open problem in [7] of proving lower bounds in this model for algorithms that are allowed to have 2-sided error. Previously, such lower bounds were shown only for deterministic and 1-sided error randomized algorithms [9,7]. We consider the classical set disjointness problem that has proved to be invaluable for deriving lower bounds for many other problems involving data streams and other randomized models of computation. For this problem, we show a near-linear lower bound on the size of the internal memory used by a randomized algorithm with 2-sided error that is allowed to have o(\log N/\log \log N) passes over the streams. This bound is almost optimal since there is a simple algorithm that can solve this problem using logarithmic memory if the number of passes over the streams.\par Applications include near-linear lower bounds on the internal memory for well-known problems in the literature:(1) approximately counting the number of distinct elements in the input ({$ F_0 $}); (2) approximating the frequency of the mod of an input sequence ({$ F*_{\infty } $}); (3) computing the join of two relations; and (4) deciding if some node of an XML document matches an XQuery (or XPath) query. Our techniques involve a novel direct-sum type of argument that yields lower bounds for many other problems. Our results asymptotically improve previously known bounds for any problem even in deterministic and 1-sided error models of computation.", acknowledgement = ack-nhfb, keywords = "communication complexity; data stream algorithms", } @InProceedings{Linial:2007:LBC, author = "Nati Linial and Adi Shraibman", title = "Lower bounds in communication complexity based on factorization norms", crossref = "ACM:2007:SPA", pages = "699--708", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250892", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We introduce a new method to derive lower bounds on randomized and quantum communication complexity. Our method is based on factorization norms, a notion from Banach Space theory. This approach gives us access to several powerful tools from this area such as normed spaces duality and Grothendiek's inequality. This extends the arsenal of methods for deriving lower bounds in communication complexity. As we show,our method subsumes most of the previously known general approaches to lower bounds on communication complexity. Moreover, we extend all (but one) of these lower bounds to the realm of quantum communication complexity with entanglement. Our results also shed some light on the question how much communication can be saved by using entanglement. It is known that entanglement can save one of every two qubits, and examples for which this is tight are also known. It follows from our results that this bound on the saving in communication is tight almost always.", acknowledgement = ack-nhfb, keywords = "communication complexity; discrepancy; factorization norms; Fourier analysis", } @InProceedings{Braverman:2007:CNC, author = "Mark Braverman and Michael Yampolsky", title = "Constructing non-computable {Julia} sets", crossref = "ACM:2007:SPA", pages = "709--716", year = "2007", DOI = "http://doi.acm.org/10.1145/1250790.1250893", bibdate = "Fri Jun 20 18:28:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were doubts as to whether specific examples of parameters with non-computable Julia sets could be constructed. It was also unknown whether the non-computability proof can be extended to the filled Julia sets. In this paper we give an answer to both of these questions, which were the main open problems concerning the computability of polynomial Julia sets.\par We show how to construct a specific polynomial with a non-computable Julia set. In fact, in the case of Julia sets of quadratic polynomials we give a precise characterization of Julia sets with computable parameters. Moreover, assuming a widely believed conjecture in Complex Dynamics, we give a poly-time algorithm for computing a number $c$ such that the Julia set {$ J_{z^2 + c z} $} is non-computable.\par In contrast with these results, we show that the filled Julia set of a polynomial is always computable.", acknowledgement = ack-nhfb, keywords = "computability; dynamical systems; Julia sets; real computation", } @InProceedings{Rao:2008:PRP, author = "Anup Rao", title = "Parallel repetition in projection games and a concentration bound", crossref = "ACM:2008:SPA", pages = "1--10", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374378", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In a two player game, a referee asks two cooperating players (who are not allowed to communicate) questions sampled from some distribution and decides whether they win or not based on some predicate of the questions and their answers. The parallel repetition of the game is the game in which the referee samples $n$ independent pairs of questions and sends corresponding questions to the players simultaneously. The players may now answer each question in a way that depends on the other questions they are asked.\par If the players cannot win the original game with probability better than $ (1 - \epsilon) $, what's the best they can do in the repeated game? We improve earlier results of Raz and Holenstein, which showed that the players cannot win all copies in the repeated game with probability better than {$ (1 - \epsilon^3)^{\Omega (n / c)} $} (here $c$ is the length of the answers in the game), in the following ways: We prove the bound {$ (1 - \epsilon^2)^{\Omega (n)} $} as long as the game is a `projection game', the type of game most commonly used in hardness of approximation results. Our bound is independent of the answer length and has a better dependence on $ \epsilon $. By the recent work of Raz, this bound is essentially tight. A consequence of this bound is to the Unique Games Conjecture of Khot. Many tight or almost tight hardness of approximation results have been proved using the Unique Games Conjecture, so it would be very interesting to prove this conjecture. We make progress towards this goal by showing that it suffices to prove the following easier statement: {Unique Games Conjecture} For every $ \delta $, $ \epsilon > 0 $, there exists an alphabet size {$ M(\epsilon) $} such that it is NP-hard to distinguish a Unique Game with alphabet size {$M$} for which a $ 1 - \epsilon^2 $ fraction of the constraints can be satisfied from one in which a $ 1 - \epsilon^{1 - \delta } $ fraction of the constraints can be satisfied. We also prove a concentration bound for parallel repetition (of general games) showing that for any constant $ 0 < \delta < \epsilon $, the probability that the players win a $ (1 - \epsilon + \delta) $ fraction of the games in the parallel repetition is at most {$ \exp ( - \Omega (\delta^4 n / c)) $}. An application of this is in testing Bell Inequalities. Our result implies that the parallel repetition of the CHSH game can be used to get an experiment that has a very large classical versus quantum gap.", acknowledgement = ack-nhfb, keywords = "CHSH game; parallel repetition; unique games conjecture", } @InProceedings{Manokaran:2008:SGU, author = "Rajsekar Manokaran and Joseph (Seffi) Naor and Prasad Raghavendra and Roy Schwartz", title = "{SDP} gaps and {UGC} hardness for multiway cut, $0$-extension, and metric labeling", crossref = "ACM:2008:SPA", pages = "11--20", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374379", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "The connection between integrality gaps and computational hardness of discrete optimization problems is an intriguing question. In recent years, this connection has prominently figured in several tight UGC-based hardness results. We show in this paper a direct way of turning integrality gaps into hardness results for several fundamental classification problems. Specifically, we convert linear programming integrality gaps for the Multiway Cut, 0-Extension, and Metric Labeling problems into UGC-based hardness results. Qualitatively, our result suggests that if the unique games conjecture is true then a linear relaxation of the latter problems studied in several papers (so-called earthmover linear program) yields the best possible approximation. Taking this a step further, we also obtain integrality gaps for a semi-definite programming relaxation matching the integrality gaps of the earthmover linear program. Prior to this work, there was an intriguing possibility of obtaining better approximation factors for labeling problems via semi-definite programming.", acknowledgement = ack-nhfb, keywords = "integrality gaps; linear and semidefinite programming; metric labelling; multiway cut; unique games conjecture", } @InProceedings{Arora:2008:UGE, author = "Sanjeev Arora and Subhash A. Khot and Alexandra Kolla and David Steurer and Madhur Tulsiani and Nisheeth K. Vishnoi", title = "Unique games on expanding constraint graphs are easy: extended abstract", crossref = "ACM:2008:SPA", pages = "21--28", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374380", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present an efficient algorithm to find a good solution to the Unique Games problem when the constraint graph is an expander.\par We introduce a new analysis of the standard SDP in this case that involves correlations among distant vertices. It also leads to a parallel repetition theorem for unique games when the graph is an expander.", acknowledgement = ack-nhfb, keywords = "approximation algorithms; expander graphs; semidefinite programming", } @InProceedings{Bodirsky:2008:CTC, author = "Manuel Bodirsky and Jan Kara", title = "The complexity of temporal constraint satisfaction problems", crossref = "ACM:2008:SPA", pages = "29--38", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374382", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "A {\em temporal constraint language\/} is a set of relations that has a first-order definition in {$ (b Q, <) $}, the dense linear order of the rational numbers. We present a complete complexity classification of the constraint satisfaction problem (CSP) for temporal constraint languages: if the constraint language is contained in one out of nine temporal constraint languages, then the CSP can be solved in polynomial time; otherwise, the CSP is NP-complete. Our proof combines model-theoretic concepts with techniques from universal algebra, and also applies the so-called product Ramsey theorem, which we believe will be useful in similar contexts of constraint satisfaction complexity classification.", acknowledgement = ack-nhfb, keywords = "complexity; constraint satisfaction; temporal reasoning", } @InProceedings{Nandakumar:2008:EET, author = "Satyadev Nandakumar", title = "An effective ergodic theorem and some applications", crossref = "ACM:2008:SPA", pages = "39--44", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374383", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "This work is a synthesis of recent advances in computable analysis with the theory of algorithmic randomness. In this theory, we try to strengthen probabilistic laws, i.e., laws which hold with probability 1, to laws which hold in their pointwise effective form --- i.e., laws which hold for every individual constructively random point. In a tour-de-force, V'yugin proved an effective version of the Ergodic Theorem which holds when the probability space, the transformation and the random variable are computable. However, V'yugin's Theorem cannot be directly applied to many examples, because all computable functions are continuous, and many applications use discontinuous functions.\par We prove a stronger effective ergodic theorem to include a restriction of Braverman's `graph-computable functions'. We then use this to give effective ergodic proofs of the effective versions of Levy-Kuzmin and Khinchin Theorems relating to continued fractions.", acknowledgement = ack-nhfb, keywords = "algorithmic randomness; ergodic theorem", } @InProceedings{Das:2008:ASS, author = "Abhimanyu Das and David Kempe", title = "Algorithms for subset selection in linear regression", crossref = "ACM:2008:SPA", pages = "45--54", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374384", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We study the problem of selecting a subset of $k$ random variables to observe that will yield the best linear prediction of another variable of interest, given the pairwise correlations between the observation variables and the predictor variable. Under approximation preserving reductions, this problem is equivalent to the `sparse approximation' problem of approximating signals concisely. The subset selection problem is NP-hard in general; in this paper, we propose and analyze exact and approximation algorithms for several special cases of practical interest. Specifically, we give an FPTAS when the covariance matrix has constant bandwidth, and exact algorithms when the associated covariance graph, consisting of edges for pairs of variables with non-zero correlation, forms a tree or has a large (known) independent set. Furthermore, we give an exact algorithm when the variables can be embedded into a line such that the covariance decreases exponentially in the distance, and a constant-factor approximation when the variables have no `conditional suppressor variables'. Much of our reasoning is based on perturbation results for the R^2 multiple correlation measure, which is frequently used as a natural measure for `goodness-of-fit statistics'. It lies at the core of our FPTAS, and also allows us to extend our exact algorithms to approximation algorithms when the matrix `nearly' falls into one of the above classes. We also use our perturbation analysis to prove approximation guarantees for the widely used `Forward Regression' heuristic under the assumption that the observation variables are nearly independent.", acknowledgement = ack-nhfb, keywords = "sparse approximation; subset selection", } @InProceedings{Rexford:2008:RIR, author = "Jennifer Rexford", title = "Rethinking {Internet} routing", crossref = "ACM:2008:SPA", pages = "55--56", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374386", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Internet routing introduces many interesting challenges, far beyond the basic problem of computing paths on a graph. This talk presents an overview of several open research questions in Internet routing, with the broader goal of placing the design of future routing architectures on a stronger theoretical foundation.", acknowledgement = ack-nhfb, keywords = "Internet; protocol; routing", } @InProceedings{Levin:2008:IRG, author = "Hagay Levin and Michael Schapira and Aviv Zohar", title = "Interdomain routing and games", crossref = "ACM:2008:SPA", pages = "57--66", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374388", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present a game-theoretic model that captures many of the intricacies of interdomain routing in today's Internet. In this model, the strategic agents are source nodes located on a network, who aim to send traffic to a unique destination node. The interaction between the agents is dynamic and complex -- asynchronous, sequential, and based on partial information. Best-reply dynamics in this model capture crucial aspects of the interdomain routing protocol de facto, namely the Border Gateway Protocol (BGP).\par We study complexity and incentive-related issues in this model. Our main results are showing that in realistic and well-studied settings, BGP is incentive-compatible. I.e., not only does myopic behaviour of all players converge to a `stable' routing outcome, but no player has motivation to unilaterally deviate from the protocol. Moreover, we show that even coalitions of players of any size cannot improve their routing outcomes by collaborating. Unlike the vast majority of works in mechanism design, our results do not require any monetary transfers (to or by the agents).", acknowledgement = ack-nhfb, keywords = "BGP; distributed algorithmic mechanism design; selfish routing", } @InProceedings{Vondrak:2008:OAS, author = "Jan Vondrak", title = "Optimal approximation for the {Submodular Welfare Problem} in the value oracle model", crossref = "ACM:2008:SPA", pages = "67--74", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374389", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In the Submodular Welfare Problem, $m$ items are to be distributed among $n$ players with utility functions w$_i$: 2$^{[m]}$ \rightarrow {$ R_+ $}. The utility functions are assumed to be monotone and submodular. Assuming that player $i$ receives a set of items {$ S_i $}, we wish to maximize the total utility {$ \sum_{i = 1}^n w_i (S_i) $}. In this paper, we work in the value oracle model where the only access to the utility functions is through a black box returning {$ w_i (S) $} for a given set {$S$}. Submodular Welfare is in fact a special case of the more general problem of submodular maximization subject to a matroid constraint: {$ \max {f(S) : S \in I} $}, where $f$ is monotone submodular and {$I$} is the collection of independent sets in some matroid.\par For both problems, a greedy algorithm is known to yield a 1/2-approximation [21, 16]. In special cases where the matroid is uniform ({$ I = S : |S| \leq k $}) [20] or the submodular function is of a special type [4, 2], a $ (1 - 1 / e) $-approximation has been achieved and this is optimal for these problems in the value oracle model [22, 6, 15]. A $ (1 - 1 / e) $-approximation for the general Submodular Welfare Problem has been known only in a stronger demand oracle model [4], where in fact $ 1 - 1 / e $ can be improved [9].\par In this paper, we develop a randomized {\em continuous greedy algorithm\/} which achieves a $ (1 - 1 / e) $-approximation for the Submodular Welfare Problem in the value oracle model. We also show that the special case of $n$ equal players is approximation resistant, in the sense that the optimal $ (1 - 1 / e) $-approximation is achieved by a uniformly random solution. Using the {\em pipage rounding\/} technique [1, 2], we obtain a $ (1 - 1 / e) $-approximation for submodular maximization subject to any matroid constraint. The continuous greedy algorithm has a potential of wider applicability, which we demonstrate on the examples of the Generalized Assignment Problem and the AdWords Assignment Problem.", acknowledgement = ack-nhfb, keywords = "combinatorial auctions; matroids; submodular functions", } @InProceedings{Hartline:2008:OMD, author = "Jason D. Hartline and Tim Roughgarden", title = "Optimal mechanism design and money burning", crossref = "ACM:2008:SPA", pages = "75--84", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374390", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Mechanism design is now a standard tool in computer science for aligning the incentives of self-interested agents with the objectives of a system designer. There is, however, a fundamental disconnect between the traditional application domains of mechanism design (such as auctions) and those arising in computer science (such as networks): while monetary `transfers' (i.e., payments) are essential for most of the known positive results in mechanism design, they are undesirable or even technologically infeasible in many computer systems. Classical impossibility results imply that the reach of mechanisms without transfers is severely limited. Computer systems typically do have the ability to reduce service quality--routing systems can drop or delay traffic, scheduling protocols can delay the release of jobs, and computational payment schemes can require computational payments from users (e.g., in spam-fighting systems). Service degradation is tantamount to requiring that users `burn money', and such `payments' can be used to influence the preferences of the agents at a cost of degrading the social surplus. We develop a framework for the design and analysis of `money-burning mechanisms' to maximize the residual surplus-the total value of the chosen outcome minus the payments required. Our primary contributions are the following. * We define a general template for prior-free optimal mechanism design that explicitly connects Bayesian optimal mechanism design, the dominant paradigm in economics, with worst-case analysis. In particular, we establish a general and principled way to identify appropriate performance benchmarks in prior-free mechanism design. * For general single-parameter agent settings, we characterize the Bayesian optimal money-burning mechanism. * For multi-unit auctions, we design a near-optimal prior-free money-burning mechanism: for every valuation profile, its expected residual surplus is within a constant factor of our benchmark, the residual surplus of the best Bayesian optimal mechanism for this profile. * For multi-unit auctions, we quantify the benefit of general transfers over money-burning: optimal money-burning mechanisms always obtain a logarithmic fraction of the full social surplus, and this bound is tight.", acknowledgement = ack-nhfb, keywords = "mechanism design; money burning; optimal mechanism design", } @InProceedings{Sherstov:2008:PMM, author = "Alexander A. Sherstov", title = "The pattern matrix method for lower bounds on quantum communication", crossref = "ACM:2008:SPA", pages = "85--94", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374392", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In a breakthrough result, Razborov (2003) gave optimal lower bounds on the communication complexity of every function $f$ of the form f(x,y)=D(|x AND y|) for some D:{0,1,\ldots{},n}->{0,1}, in the bounded-error quantum model with and without prior entanglement. This was proved by the multidimensional discrepancy method. We give an entirely different proof of Razborov's result, using the original, one-dimensional discrepancy method. This refutes the commonly held intuition (Razborov 2003) that the original discrepancy method fails for functions such as DISJOINTNESS. More importantly, our communication lower bounds hold for a much broader class of functions for which no methods were available. Namely, fix an arbitrary function f:{0,1}$^{n / 4}$ ->{0,1} and let A be the Boolean matrix whose columns are each an application of $f$ to some subset of the variables x$_1$, x$_2$, \ldots{},x$_n$. We prove that the communication complexity of A in the bounded-error quantum model with and without prior entanglement is {$ \Omega (d) $}, where $d$ is the approximate degree of $f$. From this result, Razborov's lower bounds follow easily. Our result also establishes a large new class of total Boolean functions whose quantum communication complexity (regardless of prior entanglement) is at best polynomially smaller than their classical complexity. Our proof method is a novel combination of two ingredients. The first is a certain equivalence of approximation and orthogonality in Euclidean $n$-space, which follows by linear-programming duality. The second is a new construction of suitably structured matrices with low spectral norm, the pattern matrices, which we realize using matrix analysis and the Fourier transform over {$ (Z_2)^n $}. The method of this paper has recently inspired important progress in multiparty communication complexity.", acknowledgement = ack-nhfb, keywords = "approximate degree of Boolean functions; bounded-error communication; lower bounds; quantum communication complexity", } @InProceedings{Gavinsky:2008:CIC, author = "Dmitry Gavinsky", title = "Classical interaction cannot replace a quantum message", crossref = "ACM:2008:SPA", pages = "95--102", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374393", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We demonstrate a two-player communication problem that can be solved in the one-way quantum model by a 0-error protocol of cost {$ O(\log n) $} but requires exponentially more communication in the classical interactive (bounded error) model.", acknowledgement = ack-nhfb, keywords = "communication complexity; quantum", } @InProceedings{Reichardt:2008:SPB, author = "Ben W. Reichardt and Robert Spalek", title = "Span-program-based quantum algorithm for evaluating formulas", crossref = "ACM:2008:SPA", pages = "103--112", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374394", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We give a quantum algorithm for evaluating formulas over an extended gate set, including all two- and three-bit binary gates (e.g., NAND, 3-majority). The algorithm is optimal on read-once formulas for which each gate's inputs are balanced in a certain sense.\par The main new tool is a correspondence between a classical linear-algebraic model of computation, `span programs,' and weighted bipartite graphs. A span program's evaluation corresponds to an eigenvalue-zero eigenvector of the associated graph. A quantum computer can therefore evaluate the span program by applying spectral estimation to the graph.\par For example, the classical complexity of evaluating the balanced ternary majority formula is unknown, and the natural generalization of randomized alpha-beta pruning is known to be suboptimal. In contrast, our algorithm generalizes the optimal quantum AND-OR formula evaluation algorithm and is optimal for evaluating the balanced ternary majority formula.", acknowledgement = ack-nhfb, keywords = "balanced ternary majority formula; formula evaluation; gadget graphs; quantum adversary bound; quantum algorithms; quantum computing; quantum phase estimation; quantum walks; span programs; spectral analysis", } @InProceedings{Goldwasser:2008:DCI, author = "Shafi Goldwasser and Yael Tauman Kalai and Guy N. Rothblum", title = "Delegating computation: interactive proofs for muggles", crossref = "ACM:2008:SPA", pages = "113--122", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374396", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In this work we study interactive proofs for tractable languages. The (honest) prover should be efficient and run in polynomial time, or in other words a `muggle'. The verifier should be super-efficient and run in nearly-linear time. These proof systems can be used for delegating computation: a server can run a computation for a client and interactively prove the correctness of the result. The client can verify the result's correctness in nearly-linear time (instead of running the entire computation itself). Previously, related questions were considered in the Holographic Proof setting by Babai, Fortnow, Levin and Szegedy, in the argument setting under computational assumptions by Kilian, and in the random oracle model by Micali. Our focus, however, is on the original interactive proof model where no assumptions are made on the computational power or adaptiveness of dishonest provers. Our main technical theorem gives a public coin interactive proof for any language computable by a log-space uniform Boolean circuit with depth $d$ and input length $n$. The verifier runs in time $ (n + d) \times \polylog (n) $ and space {$ O(\log (n)) $}, the communication complexity is $ d \times \polylog (n) $, and the prover runs in time $ \poly (n) $. In particular, for languages computable by log-space uniform NC (circuits of $ \polylog (n) $ depth), the prover is efficient, the verifier runs in time $ n \times \polylog (n) $ and space {$ O(\log (n)) $}, and the communication complexity is $ \polylog (n) $. Using this theorem we make progress on several questions: We show how to construct short (polylog size) computationally sound non-interactive certificates of correctness for any log-space uniform NC computation, in the public-key model. The certificates can be verified in quasi-linear time and are for a designated verifier: each certificate is tailored to the verifier's public key. This result uses a recent transformation of Kalai and Raz from public-coin interactive proofs to one-round arguments. The soundness of the certificates is based on the existence of a PIR scheme with polylog communication. Interactive proofs with public-coin, log-space, poly-time verifiers for all of P. This settles an open question regarding the expressive power of proof systems with such verifiers. Zero-knowledge interactive proofs with communication complexity that is quasi-linear in the witness, length for any NP language verifiable in NC, based on the existence of one-way functions. Probabilistically checkable arguments (a model due to Kalai and Raz) of size polynomial in the witness length (rather than the instance length) for any NP language verifiable in NC, under computational assumptions.", acknowledgement = ack-nhfb, keywords = "delegation; interactive proofs; muggles", } @InProceedings{Juba:2008:USC, author = "Brendan Juba and Madhu Sudan", title = "Universal semantic communication {I}", crossref = "ACM:2008:SPA", pages = "123--132", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374397", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Is it possible for two intelligent beings to communicate meaningfully, without any common language or background? This question has interest on its own, but is especially relevant in the context of modern computational infrastructures where an increase in the diversity of computers is making the task of inter-computer interaction increasingly burdensome. Computers spend a substantial amount of time updating their software to increase their knowledge of other computing devices. In turn, for any pair of communicating devices, one has to design software that enables the two to talk to each other. Is it possible instead to let the two computing entities use their intelligence (universality as computers) to learn each others' behavior and attain a common understanding? What is `common understanding?' We explore this question in this paper.\par To formalize this problem, we suggest that one should study the `goal of communication:' why are the two entities interacting with each other, and what do they hope to gain by it? We propose that by considering this question explicitly, one can make progress on the question of universal communication.\par We start by considering a computational setting for the problem where the goal of one of the interacting players is to gain some computational wisdom from the other player. We show that if the second player is `sufficiently' helpful and powerful, then the first player can gain significant computational power (deciding PSPACE complete languages).\par Our work highlights some of the definitional issues underlying the task of formalizing universal communication, but also suggests some interesting phenomena and highlights potential tools that may be used for such communication.", acknowledgement = ack-nhfb, keywords = "computational complexity; interaction; linguistics", } @InProceedings{Fortnow:2008:IIC, author = "Lance Fortnow and Rahul Santhanam", title = "Infeasibility of instance compression and succinct {PCPs} for {NP}", crossref = "ACM:2008:SPA", pages = "133--142", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374398", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "The OR-SAT problem asks, given Boolean formulae {$ \Phi_1, \ldots {}, \Phi_m $} each of size at most $n$, whether at least one of the {$ \Phi_i $}'s is satisfiable. We show that there is no reduction from OR-SAT to any set A where the length of the output is bounded by a polynomial in $n$, unless NP $ \subseteq $ coNP/poly, and the Polynomial-Time Hierarchy collapses. This result settles an open problem proposed by Bodlaender et. al. [4] and Harnik and Naor [15] and has a number of implications. A number of parametric NP problems, including Satisfiability, Clique, Dominating Set and Integer Programming, are not instance compressible or polynomially kernelizable unless NP $ \subseteq $ coNP/poly. Satisfiability does not have PCPs of size polynomial in the number of variables unless NP $ \subseteq $ coNP/poly. An approach of Harnik and Naor to constructing collision-resistant hash functions from one-way functions is unlikely to be viable in its present form. (Buhrman-Hitchcock) There are no subexponential-size hard sets for NP unless NP is in co-NP/poly. We also study probabilistic variants of compression, and show various results about and connections between these variants. To this end, we introduce a new strong derandomization hypothesis, the Oracle Derandomization Hypothesis, and discuss how it relates to traditional derandomization assumptions.", acknowledgement = ack-nhfb, keywords = "cryptography; instance compression; parameterized complexity; polynomial hierarchy; succinct PCPs", } @InProceedings{Goldwasser:2008:CAP, author = "Shafi Goldwasser and Dan Gutfreund and Alexander Healy and Tali Kaufman and Guy N. Rothblum", title = "A (de)constructive approach to program checking", crossref = "ACM:2008:SPA", pages = "143--152", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374399", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Program checking, program self-correcting and program self-testing were pioneered by [Blum and Kannan] and [Blum, Luby and Rubinfeld] in the mid eighties as a new way to gain confidence in software, by considering program correctness on an input by input basis rather than full program verification. Work in the field of program checking focused on designing, for specific functions, checkers, testers and correctors which are more efficient than the best program known for the function. These were designed utilizing specific algebraic, combinatorial or completeness properties of the function at hand. In this work we introduce a novel composition methodology for improving the efficiency of program checkers. We use this approach to design a variety of program checkers that are provably more efficient, in terms of circuit depth, than the optimal program for computing the function being checked. Extensions of this methodology for the cases of program testers and correctors are also presented. In particular, we show: For all $ i \geq 1 $, every language in RNC$^i$ (that is NCO-hard under NCZ-reductions) has a program checker in RNC$^{i - 1}$. In addition, for all $ i \geq 1 $, every language in RNC$^i$ (that is NCO-hard under ACZ-reductions) has a program corrector, tester and checker in RAC$^{i - 1}$. This is the first time checkers are designed for a wide class of functions characterized only by its complexity, rather than by algebraic or combinatorial properties. This characterization immediately yields new and efficient checkers for languages such as graph connectivity, perfect matching and bounded-degree graph isomorphism. Constant-depth checkers, testers and correctors for matrix multiplication, inversion, determinant and rank. All previous program checkers, testers and correctors for these problems run in nearly logarithmic depth. Moreover, except for matrix multiplication, they all require the use of the library notion of [Blum-Luby-Rubinfeld], in which checkers have access to a library of programs for various matrix functions, rather than only having access to a program for the function being checked. Furthermore, we provide conditions under which program libraries can be eliminated. Important ingredients in these results are new and very efficient checkers for complete languages in low complexity classes (e.g. NCO). These constructions are based on techniques that were developed in the field of cryptography.", acknowledgement = ack-nhfb, keywords = "program checking; program correcting; program testing", } @InProceedings{Fakcharoenphol:2008:AAV, author = "Jittat Fakcharoenphol and Bundit Laekhanukit", title = "An $ o(\log^2 k) $-approximation algorithm for the $k$-vertex connected spanning subgraph problem", crossref = "ACM:2008:SPA", pages = "153--158", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374401", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present an {$ O(\log n \cdot \log k) $}-approximation algorithm for the problem of finding $k$-vertex connected spanning subgraph of minimum cost, where $n$ is the number of vertices in the input graph, and $k$ is the connectivity requirement. Our algorithm works for both directed and undirected graphs. The best known approximation guarantees for these problems are {$ O(\ln k \cdot \min \{ \sqrt {k}, \frac {n}{n - k} \ln k \}) $} by Kortsarz and Nutov, and {$ O(\ln {k}) $} in the case of undirected graphs where $ n \geq 6 k^2 $ by Cheriyan, Vempala, and Vetta. Our algorithm is the first that has a polylogarithmic guarantee for all values of $k$.\par Combining our algorithm with the algorithm of Kortsarz and Nutov in case of small $k$, e.g., $ k < n / 2 $, we have an {$ O(\log^2 k) $}-approximation algorithm.\par As in previous work, we use the Frank-Tardos algorithm for finding $k$-outconnected subgraphs as a subroutine. However, with a structural lemmas that we proved, we are able to show that we need only partial solutions returned by the Frank-Tardos algorithm; thus, we can avoid paying the whole cost of the optimal solution every time the algorithm is applied.", acknowledgement = ack-nhfb, keywords = "$k$-connected spanning subgraphs; approximation algorithms for NP-hard problems; network design", } @InProceedings{Thorup:2008:MWC, author = "Mikkel Thorup", title = "Minimum $k$-way cuts via deterministic greedy tree packing", crossref = "ACM:2008:SPA", pages = "159--166", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374402", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present a simple and fast deterministic algorithm for the minimum $k$-way cut problem in a capacitated graph, that is, finding a set of edges with minimum total capacity whose removal splits the graph into at least $k$ components. The algorithm packs {$ O(m k^3 \log n) $} trees. Each new tree is a minimal spanning tree with respect to the edge utilizations, and the utilization of an edge is the number of times it has been used in previous spanning trees divided by its capacity. We prove that each minimum $k$-way cut is crossed at most 2k-2 times by one of the trees. We can enumerate all such cuts in ~O(n$^{2k}$ ) time, which is hence the running time of our algorithm producing all minimum $k$-way cuts. The previous fastest deterministic algorithm of Kamidoi et al. [SICOMP'06] took {$ O(n^{(4 + o(1))k}) $} time, so this is a near-quadratic improvement. Moreover, we essentially match the {$ O(n^{(2 - o(1))k}) $} running time of the Monto Carlo (no correctness guarantee) randomized algorithm of Karger and Stein [JACM'96].", acknowledgement = ack-nhfb, keywords = "$k$-way cuts; tree packing", } @InProceedings{Chakraborty:2008:NDV, author = "Tanmoy Chakraborty and Julia Chuzhoy and Sanjeev Khanna", title = "Network design for vertex connectivity", crossref = "ACM:2008:SPA", pages = "167--176", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374403", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We study the survivable network design problem (SNDP) for vertex connectivity. Given a graph {$ G(V, E) $} with costs on edges, the goal of SNDP is to find a minimum cost subset of edges that ensures a given set of pairwise vertex connectivity requirements. When all connectivity requirements are between a special vertex, called the source, and vertices in a subset T $ \subseteq $ V, called terminals, the problem is called the single-source SNDP. Our main result is a randomized {$ k^{O(k^2)} \log^4 $ n}-approximation algorithm for single-source SNDP where $k$ denotes the largest connectivity requirement for any source-terminal pair. In particular, we get a poly-logarithmic approximation for any constant $k$. Prior to our work, no non-trivial approximation guarantees were known for this problem for any $ k \geq 3 $. We also show that SNDP is {$ k^{\Omega (1)} $}-hard to approximate and provide an elementary construction that shows that the well-studied set-pair linear programming relaxation for this problem has an {$ \Omega (k^{1 / 3}) $} integrality gap.", acknowledgement = ack-nhfb, keywords = "approximation algorithms; hardness of approximation; network design; vertex connectivity", } @InProceedings{Chen:2008:FPA, author = "Jianer Chen and Yang Liu and Songjian Lu and Barry O'Sullivan and Igor Razgon", title = "A fixed-parameter algorithm for the directed feedback vertex set problem", crossref = "ACM:2008:SPA", pages = "177--186", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374404", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "The (parameterized) feedback vertex set problem on directed graphs, which we refer to as the DFVS problem, is defined as follows: given a directed graph {$G$} and a parameter $k$, either construct a feedback vertex set of at most $k$ vertices in {$G$} or report that no such set exists. Whether or not the DFVS problem is fixed-parameter tractable has been a well-known open problem in parameterized computation and complexity, i.e., whether the problem can be solved in time {$ f(k) n^{O(1)} $} for some function $f$. In this paper we develop new algorithmic techniques that result in an algorithm with running time {$ 4^k k! n^{O(1)} $} for the DFVS problem, thus showing that this problem is fixed-parameter tractable.", acknowledgement = ack-nhfb, keywords = "parameterized complexity", } @InProceedings{Peikert:2008:LTF, author = "Chris Peikert and Brent Waters", title = "Lossy trapdoor functions and their applications", crossref = "ACM:2008:SPA", pages = "187--196", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374406", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We propose a new general primitive called lossy trapdoor functions (lossy TDFs), and realize it under a variety of different number theoretic assumptions, including hardness of the decisional Diffie--Hellman (DDH) problem and the worst-case hardness of lattice problems.\par Using lossy TDFs, we develop a new approach for constructing several important cryptographic primitives, including (injective) trapdoor functions, collision-resistant hash functions, oblivious transfer, and chosen ciphertext-secure cryptosystems. All of the constructions are simple, efficient, and black-box.\par These results resolve some long-standing open problems in cryptography. They give the first known injective trapdoor functions based on problems not directly related to integer factorization, and provide the first known CCA-secure cryptosystem based solely on the worst-case complexity of lattice problems.", acknowledgement = ack-nhfb, keywords = "public key encryption; trapdoor functions", } @InProceedings{Gentry:2008:THL, author = "Craig Gentry and Chris Peikert and Vinod Vaikuntanathan", title = "Trapdoors for hard lattices and new cryptographic constructions", crossref = "ACM:2008:SPA", pages = "197--206", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374407", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We show how to construct a variety of `trapdoor' cryptographic tools assuming the worst-case hardness of standard lattice problems (such as approximating the length of the shortest nonzero vector to within certain polynomial factors). Our contributions include a new notion of trapdoor function with preimage sampling, simple and efficient `hash-and-sign' digital signature schemes, and identity-based encryption. A core technical component of our constructions is an efficient algorithm that, given a basis of an arbitrary lattice, samples lattice points from a discrete Gaussian probability distribution whose standard deviation is essentially the length of the longest Gram--Schmidt vector of the basis. A crucial security property is that the output distribution of the algorithm is oblivious to the particular geometry of the given basis.", acknowledgement = ack-nhfb, keywords = "lattice-based cryptography; trapdoor functions", } @InProceedings{Gama:2008:FSL, author = "Nicolas Gama and Phong Q. Nguyen", title = "Finding short lattice vectors within {Mordell}'s inequality", crossref = "ACM:2008:SPA", pages = "207--216", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374408", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "The celebrated Lenstra-Lenstra-Lov{\'a}sz lattice basis reduction algorithm (LLL) can naturally be viewed as an algorithmic version of Hermite's inequality on Hermite's constant. We present a polynomial-time blockwise reduction algorithm based on duality which can similarly be viewed as an algorithmic version of Mordell's inequality on Hermite's constant. This achieves a better and more natural approximation factor for the shortest vector problem than Schnorr's algorithm and its transference variant by Gama, Howgrave-Graham, Koy and Nguyen. Furthermore, we show that this approximation factor is essentially tight in the worst case.", acknowledgement = ack-nhfb, keywords = "lattice reduction; LLL; Schnorr's algorithm; slide reduction; transference reduction.", } @InProceedings{Attiya:2008:TRL, author = "Hagit Attiya and Danny Hendler and Philipp Woelfel", title = "Tight {RMR} lower bounds for mutual exclusion and other problems", crossref = "ACM:2008:SPA", pages = "217--226", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374410", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We investigate the remote memory references (RMRs) complexity of deterministic processes that communicate by reading and writing shared memory in asynchronous cache-coherent and distributed shared-memory multiprocessors. We define a class of algorithms that we call order encoding. By applying information-theoretic arguments, we prove that every order encoding algorithm, shared by $n$ processes, has an execution that incurs {$ \Omega (n \log n) $} RMRs. From this we derive the same lower bound for the mutual exclusion, bounded counter and store/collect synchronization problems. The bounds we obtain for these problems are tight. It follows from the results of [10] that our lower bounds hold also for algorithms that can use comparison primitives and load-linked/store-conditional in addition to reads and writes. Our mutual exclusion lower bound proves a longstanding conjecture of Anderson and Kim.", acknowledgement = ack-nhfb, keywords = "bounded counter; information theory; lower-bound techniques; mutual exclusion; shared-memory; store\slash collect object", } @InProceedings{Cote:2008:RSH, author = "Aaron Cot{\'e} and Adam Meyerson and Laura Poplawski", title = "Randomized $k$-server on hierarchical binary trees", crossref = "ACM:2008:SPA", pages = "227--234", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374411", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We design a randomized online algorithm for $k$-server on binary trees with hierarchical edge lengths, with expected competitive ratio {$ O(\log \Delta) $}, where {$ \Delta $} is the diameter of the metric. This is one of the first $k$-server algorithms with competitive ratio poly-logarithmic in the natural problem parameters, and represents substantial progress on the randomized $k$-server conjecture. Extending the algorithm to trees of higher degree would give a competitive ratio of {$ O(\log^2 \Delta \log n) $} for the $k$-server problem on general metrics with $n$ points and diameter {$ \Delta $}.", acknowledgement = ack-nhfb, keywords = "$k$-server; online competitive analysis", } @InProceedings{Bansal:2008:RCA, author = "Nikhil Bansal and Niv Buchbinder and Joseph (Seffi) Naor", title = "Randomized competitive algorithms for generalized caching", crossref = "ACM:2008:SPA", pages = "235--244", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374412", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We consider online algorithms for the generalized caching problem. Here we are given a cache of size $k$ and pages with arbitrary sizes and fetching costs. Given a request sequence of pages, the goal is to minimize the total cost of fetching the pages into the cache. We give an online algorithm with competitive ratio {$ O(\log^2 k) $}, which is the first algorithm for the problem with competitive ratio sublinear in $k$. We also give improved {$ O(\log k) $}-competitive algorithms for the special cases of the Bit Model and Fault model. In the Bit Model, the fetching cost is proportional to the size of the page and in the Fault model all fetching costs are uniform. Previously, an {$ O(\log^2 k) $}-competitive algorithm due to Irani [14] was known for both of these models. Our algorithms are based on an extension of the primal-dual framework for online algorithms which was developed by Buchbinder and Naor [7]. We first generate an {$ O(\log k) $}-competitive fractional algorithm for the problem. This is done by using a strengthened LP formulation with knapsack-cover constraints, where exponentially many constraints are added upon arrival of a new request. Second, we round online the fractional solution and obtain a randomized online algorithm. Our techniques provide a unified framework for caching algorithms and are substantially simpler than those previously used.", acknowledgement = ack-nhfb, keywords = "arbitrary sizes; arbitrary weights; caching; knapsack cover inequalities; online algorithms; primal-dual analysis", } @InProceedings{Raghavendra:2008:OAI, author = "Prasad Raghavendra", title = "Optimal algorithms and inapproximability results for every {CSP}?", crossref = "ACM:2008:SPA", pages = "245--254", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374414", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Semidefinite Programming(SDP) is one of the strongest algorithmic techniques used in the design of approximation algorithms. In recent years, Unique Games Conjecture(UGC) has proved to be intimately connected to the limitations of Semidefinite Programming.\par Making this connection precise, we show the following result: If UGC is true, then for every constraint satisfaction problem(CSP) the best approximation ratio is given by a certain simple SDP. Specifically, we show a generic conversion from SDP integrality gaps to UGC hardness results for every CSP. This result holds both for maximization and minimization problems over arbitrary finite domains.\par Using this connection between integrality gaps and hardness results we obtain a generic polynomial-time algorithm for all CSPs. Assuming the Unique Games Conjecture, this algorithm achieves the optimal approximation ratio for every CSP.\par Unconditionally, for all 2-CSPs the algorithm achieves an approximation ratio equal to the integrality gap of a natural SDP used in literature. Further the algorithm achieves at least as good an approximation ratio as the best known algorithms for several problems like MaxCut, Max2Sat, MaxDiCut and Unique Games.", acknowledgement = ack-nhfb, keywords = "constraint satisfaction problem; dictatorship tests; rounding schemes; semidefinite programming; unique games conjecture", } @InProceedings{Racke:2008:OHD, author = "Harald R{\"a}cke", title = "Optimal hierarchical decompositions for congestion minimization in networks", crossref = "ACM:2008:SPA", pages = "255--264", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374415", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Hierarchical graph decompositions play an important role in the design of approximation and online algorithms for graph problems. This is mainly due to the fact that the results concerning the approximation of metric spaces by tree metrics (e.g. [10,11,14,16]) depend on hierarchical graph decompositions. In this line of work a probability distribution over tree graphs is constructed from a given input graph, in such a way that the tree distances closely resemble the distances in the original graph. This allows it, to solve many problems with a distance-based cost function on trees, and then transfer the tree solution to general undirected graphs with only a logarithmic loss in the performance guarantee. The results about oblivious routing [30,22] in general undirected graphs are based on hierarchical decompositions of a different type in the sense that they are aiming to approximate the bottlenecks in the network (instead of the point-to-point distances). We call such decompositions cut-based decompositions. It has been shown that they also can be used to design approximation and online algorithms for a wide variety of different problems, but at the current state of the art the performance guarantee goes down by an {$ O(\log^2 n \log \log n) $}-factor when making the transition from tree networks to general graphs. In this paper we show how to construct cut-based decompositions that only result in a logarithmic loss in performance, which is asymptotically optimal. Remarkably, one major ingredient of our proof is a distance-based decomposition scheme due to Fakcharoenphol, Rao and Talwar [16]. This shows an interesting relationship between these seemingly different decomposition techniques. The main applications of the new decomposition are an optimal {$ O(\log n) $}-competitive algorithm for oblivious routing in general undirected graphs, and an {$ O(\log n) $}-approximation for Minimum Bisection, which improves the {$ O(\log^{1.5} n) $} approximation by Feige and Krauthgamer [17].", acknowledgement = ack-nhfb, keywords = "approximating metrics by tree metrics; oblivious routing", } @InProceedings{Gopalan:2008:LDR, author = "Parikshit Gopalan and Adam R. Klivans and David Zuckerman", title = "List-decoding {Reed--Muller} codes over small fields", crossref = "ACM:2008:SPA", pages = "265--274", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374417", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present the first local list-decoding algorithm for the $ r^{\rm th} $ order Reed--Muller code {$ {\rm RM}(2, m) $} over {$ \mathbb {F}_2 $} for $ r \geq 2 $. Given an oracle for a received word {$ R : \mathbb {F}_2^m \rightarrow \mathbb {F}_2 $}, our randomized local list-decoding algorithm produces a list containing all degree $r$ polynomials within relative distance $ (2^{-r} - \epsilon) $ from {$R$} for any $ \epsilon < 0 $ in time $ \poly (m^r, \epsilon^{-r}) $. The list size could be exponential in $m$ at radius $ 2^{-r} $, so our bound is optimal in the local setting. Since {$ {\rm RM}(2, m) $} has relative distance $ 2^{-r} $, our algorithm beats the Johnson bound for $ r \geq 2 $.\par In the setting where we are allowed running-time polynomial in the block-length, we show that list-decoding is possible up to even larger radii, beyond the minimum distance. We give a deterministic list-decoder that works at error rate below {$ J(2^{1 - r}) $}, where {$ J(\delta) $} denotes the Johnson radius for minimum distance $ \delta $. This shows that {$ {\rm RM}(2, m) $} codes are list-decodable up to radius $ \eta $ for any constant $ \eta < 1 / 2 $ in time polynomial in the block-length.\par Over small fields {$ \mathbb {F}_q $}, we present list-decoding algorithms in both the global and local settings that work up to the list-decoding radius. We conjecture that the list-decoding radius approaches the minimum distance (like over {$ \mathbb {F} $}), and prove this holds true when the degree is divisible by $ q - 1 $.", acknowledgement = ack-nhfb, keywords = "fitting polynomials; list-decoding; Reed--Muller codes; self-correctors", } @InProceedings{Dinur:2008:DGH, author = "Irit Dinur and Elena Grigorescu and Swastik Kopparty and Madhu Sudan", title = "Decodability of group homomorphisms beyond the {Johnson} bound", crossref = "ACM:2008:SPA", pages = "275--284", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374418", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Given a pair of finite groups {$G$} and {$H$}, the set of homomorphisms from {$G$} to {$H$} form an error-correcting code where codewords differ in at least 1/2 the coordinates. We show that for every pair of abelian groups {$G$} and {$H$}, the resulting code is (locally) list-decodable from a fraction of errors arbitrarily close to its distance. At the heart of this result is the following combinatorial result: There is a fixed polynomial $p$ such that for every pair of abelian groups {$G$} and {$H$}, if the maximum fraction of agreement between two distinct homomorphisms from {$G$} to {$H$} is {$ \Lamda $}, then for every $ \epsilon > 0 $ and every function {$ f : G \rightarrow H $}, the number of homomorphisms that have agreement {$ \Lamda + \epsilon $} with $f$ is at most $ p(1 / \epsilon) $. We thus give a broad class of codes whose list-decoding radius exceeds the `Johnson bound'. Examples of such codes are rare in the literature, and for the ones that do exist, `combinatorial' techniques to analyze their list-decodability are limited. Our work is an attempt to add to the body of such techniques. We use the fact that abelian groups decompose into simpler ones and thus codes derived from homomorphisms over abelian groups may be viewed as certain `compositions' of simpler codes. We give techniques to lift list-decoding bounds for the component codes to bounds for the composed code. We believe these techniques may be of general interest.", acknowledgement = ack-nhfb, keywords = "Hadamard codes; list decoding; sublinear time algorithms", } @InProceedings{Meir:2008:CCL, author = "Or Meir", title = "Combinatorial construction of locally testable codes", crossref = "ACM:2008:SPA", pages = "285--294", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374419", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "An error correcting code is said to be locally testable if there is a test that checks whether a given string is a codeword, or rather far from the code, by reading only a constant number of symbols of the string. Locally Testable Codes (LTCs) were first systematically studied by Goldreich and Sudan (J. ACM 53(4)) and since then several Constructions of LTCs have been suggested.\par While the best known construction of LTCs by Ben-Sasson and Sudan (STOC 2005) and Dinur (J. ACM 54(3)) achieves very efficient parameters, it relies heavily on algebraic tools and on PCP machinery. In this work we present a new and arguably simpler construction of LTCs that is purely combinatorial, does not rely on PCP machinery and matches the parameters of the best known construction. However, unlike the latter construction, our construction is not entirely explicit.", acknowledgement = ack-nhfb, keywords = "locally testable codes; PCPs of proximity; probabilistically checkable proofs", } @InProceedings{Kleinberg:2008:BOS, author = "Jon Kleinberg and {\'E}va Tardos", title = "Balanced outcomes in social exchange networks", crossref = "ACM:2008:SPA", pages = "295--304", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1376994", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "The study of bargaining has a long history, but many basic settings are still rich with unresolved questions. In particular, consider a set of agents who engage in bargaining with one another,but instead of pairs of agents interacting in isolation,agents have the opportunity to choose whom they want to negotiate with, along the edges of a graph representing social-network relations. The area of network exchange theory in sociology has developed a large body of experimental evidence for the way in which people behave in such network-constrained bargaining situations, and it is a challenging problem to develop models that are both mathematically tractable and in general agreement with the results of these experiments.\par We analyze a natural theoretical model arising in network exchange theory, which can be viewed as a direct extension of the well-known Nash bargaining solution to the case of multiple agents interacting on a graph. While this generalized Nash bargaining solution is surprisingly effective at picking up even subtle differences in bargaining power that have been observed experimentally on small examples, it has remained an open question to characterize the values taken by this solution on general graphs, or to find an efficient means to compute it.\par Here we resolve these questions, characterizing the possible values of this bargaining solution, and giving an efficient algorithm to compute the set of possible values. Our result exploits connections to the structure of matchings in graphs, including decomposition theorems for graphs with perfect matchings, and also involves the development of new techniques. In particular, the values we are seeking turn out to correspond to a novel combinatorially defined point in the interior of a fractional relaxation of the matching problem.", acknowledgement = ack-nhfb, keywords = "bargaining; game theory; network exchange theory; social networks", } @InProceedings{Chen:2008:PCM, author = "Yiling Chen and Sharad Goel and David M. Pennock", title = "Pricing combinatorial markets for tournaments", crossref = "ACM:2008:SPA", pages = "305--314", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374421", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In a prediction market, agents trade assets whose value is tied to a future event, for example the outcome of the next presidential election. Asset prices determine a probability distribution over the set of possible outcomes. Typically, the outcome space is small, allowing agents to directly trade in each outcome, and allowing a market maker to explicitly update asset prices. Combinatorial markets, in contrast, work to estimate a full joint distribution of dependent observations, in which case the outcome space grows exponentially. In this paper, we consider the problem of pricing combinatorial markets for single-elimination tournaments. With $n$ competing teams, the outcome space is of size 2$^{n - 1}$. We show that the general pricing problem for tournaments is P-hard. We derive a polynomial-time algorithm for a restricted betting language based on a Bayesian network representation of the probability distribution. The language is fairly natural in the context of tournaments, allowing for example bets of the form `team $i$ wins game $k$'. We believe that our betting language is the first for combinatorial market makers that is both useful and tractable. We briefly discuss a heuristic approximation technique for the general case.", acknowledgement = ack-nhfb, keywords = "Bayesian networks; combinatorial markets; logarithmic market scoring rule; prediction markets; tournaments", } @InProceedings{Cole:2008:FCT, author = "Richard Cole and Lisa Fleischer", title = "Fast-converging tatonnement algorithms for one-time and ongoing market problems", crossref = "ACM:2008:SPA", pages = "315--324", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374422", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Why might markets tend toward and remain near equilibrium prices? In an effort to shed light on this question from an algorithmic perspective, this paper formalizes the setting of Ongoing Markets, by contrast with the classic market scenario, which we term One-Time Markets. The Ongoing Market allows trade at non-equilibrium prices, and, as its name suggests, continues over time. As such, it appears to be a more plausible model of actual markets.\par For both market settings, this paper defines and analyzes variants of a simple tatonnement algorithm that differs from previous algorithms that have been subject to asymptotic analysis in three significant respects: the price update for a good depends only on the price, demand, and supply for that good, and on no other information; the price update for each good occurs distributively and asynchronously; the algorithms work (and the analyses hold) from an arbitrary starting point.\par Our algorithm introduces a new and natural update rule. We show that this update rule leads to fast convergence toward equilibrium prices in a broad class of markets that satisfy the weak gross substitutes property. These are the first analyses for computationally and informationally distributed algorithms that demonstrate polynomial convergence.\par Our analysis identifies three parameters characterizing the markets, which govern the rate of convergence of our protocols. These parameters are, broadly speaking: 1. A bound on the fractional rate of change of demand for each good with respect to fractional changes in its price. 2. A bound on the fractional rate of change of demand for each good with respect to fractional changes in wealth. 3. The closeness of the market to a Fisher market (a market with buyers starting with money alone).\par We give two types of protocols. The first type assumes global knowledge of only (an upper bound on) the first parameter. For this protocol, we also provide a matching lower bound in terms of these parameters for the One-Time Market. Our second protocol, which is analyzed for the One-Time Market alone, assumes no global knowledge whatsoever.", acknowledgement = ack-nhfb, keywords = "market equilibria; tatonnement", } @InProceedings{Ben-Aroya:2008:CCA, author = "Avraham Ben-Aroya and Amnon Ta-Shma", title = "A combinatorial construction of almost-{Ramanujan} graphs using the zig-zag product", crossref = "ACM:2008:SPA", pages = "325--334", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374424", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Reingold, Vadhan and Wigderson [21] introduced the graph zig-zag product. This product combines a large graph and a small graph into one graph, such that the resulting graph inherits its size from the large graph, its degree from the small graph and its spectral gap from both. Using this product they gave the first\par fully-explicit combinatorial construction of expander graphs. They showed how to construct {$D$}-regular graphs having spectral gap {$ 1 - O(D^{-1 / 3}) $}. In the same paper, they posed the open problem of whether a similar graph product could be used to achieve the almost-optimal spectral gap {$ 1 - O(D^{-1 / 2}) $}.\par In this paper we propose a generalization of the zig-zag product that combines a large graph and several small graphs. The new product gives a better relation between the degree and the spectral gap of the resulting graph. We use the new product to give a fully-explicit combinatorial construction of {$D$}-regular graphs having spectral gap {$ 1 - D^{-1 / 2 + o(1)} $}.", acknowledgement = ack-nhfb, keywords = "expander graphs; zig-zag product", } @InProceedings{ODonnell:2008:OSA, author = "Ryan O'Donnell and Yi Wu", title = "An optimal {SDP} algorithm for max-cut, and equally optimal long code tests", crossref = "ACM:2008:SPA", pages = "335--344", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374425", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Let {$G$} be an undirected graph for which the standard Max-Cut SDP relaxation achieves at least a $c$ fraction of the total edge weight, $ 1 / 2 [1 / 2, 1] $ by {$ {\rm GapSDP}(c) = \inf \{ s : (c, s) {\rm \ is an SDP gap} \} $}. In this paper we complete a long line of work [15, 14, 20, 36, 19, 17, 13, 28] by determining the entire SDP gap curve; we show {$ {\rm GapSDP}(c) = S(c) $} for a certain explicit (but complicated to state) function {$S$}. In particular, our lower bound {$ {\rm GapSDP}(c) - S(c) $} is proved via a polynomial-time --- {$ R P R^2 $} --- algorithm. Thus we have given an efficient, optimal SDP-rounding algorithm for Max-Cut. The fact that it is {$ R P R^2 $} confirms a conjecture of Feige and Langberg [17]. We also describe and analyze the tight connection between SDP gaps and Long Code tests (and the constructions of [25, 3, 4]). Using this connection, we give optimal Long Code tests for Max-Cut. Combining these with results implicit in [27, 29] and ideas from [19], we derive the following conclusions: --- The Max-Cut SDP gap curve subject to triangle inequalities is also given by {$ S(c) $}. --- No {$ R P R^2 $} algorithm can be guaranteed to find cuts of value larger than {$ S(c) $} in graphs where the optimal cut is $c$. (Contrast this with the fact that in the graphs exhibiting the $c$ vs. {$ S(c) $} SDP gap, our {$ R P R^2 $} algorithm actually finds the optimal cut.) --- Further, no polynomial-time algorithm of any kind can have such a guarantee, assuming P $ \neq $ NP and the Unique Games Conjecture.", acknowledgement = ack-nhfb, keywords = "hardness of approximation; max-cut; semidefinite programming", } @InProceedings{Khot:2008:HLI, author = "Subhash Khot and Rishi Saket", title = "On hardness of learning intersection of two halfspaces", crossref = "ACM:2008:SPA", pages = "345--354", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374426", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We show that unless NP = RP, it is hard to (even) weakly PAC-learn intersection of two halfspaces in R^n using a hypothesis which is a function of up to l linear threshold functions for any integer l. Specifically, we show that for every integer $l$ and an arbitrarily small constant $ \epsilon > 0 $, unless NP = RP, no polynomial time algorithm can distinguish whether there is an intersection of two halfspaces that correctly classifies a given set of labeled points in {$ R^n $}, or whether any function of $l$ linear threshold functions can correctly classify at most 1/2+$ \epsilon $ fraction of the points.", acknowledgement = ack-nhfb, keywords = "approximation; halfspaces; hardness; learning", } @InProceedings{Skopalik:2008:IPN, author = "Alexander Skopalik and Berthold V{\"o}cking", title = "Inapproximability of pure {Nash} equilibria", crossref = "ACM:2008:SPA", pages = "355--364", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374428", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "The complexity of computing pure Nash equilibria in congestion games was recently shown to be PLS-complete. In this paper, we therefore study the complexity of computing approximate equilibria in congestion games. An alpha-approximate equilibrium, for $ \alpha $ > 1, is a state of the game in which none of the players can make an $ \alpha $-greedy step, i.e., an unilateral strategy change that decreases the player's cost by a factor of at least $ \alpha $. Our main result shows that finding an $ \alpha $-approximate equilibrium of a given congestion game is sc PLS-complete, for any polynomial-time computable $ \alpha $ > 1. Our analysis is based on a gap introducing PLS-reduction from FLIP, i.e., the problem of finding a local optimum of a function encoded by an arbitrary circuit. As this reduction is tight it additionally implies that computing an $ \alpha $-approximate equilibrium reachable from a given initial state by a sequence of $ \alpha $-greedy steps is PSPACE-complete. Our results are in sharp contrast to a recent result showing that every local search problem in PLS admits a fully polynomial time approximation scheme.\par In addition, we show that there exist congestion games with states such that any sequence of $ \alpha $-greedy steps leading from one of these states to an $ \alpha $-approximate Nash equilibrium has exponential length, even if the delay functions satisfy a bounded-jump condition. This result shows that a recent result about polynomial time convergence for $ \alpha $-greedy steps in congestion games satisfying the bounded-jump condition is restricted to symmetric games only.", acknowledgement = ack-nhfb, keywords = "approximation; congestion games; local search", } @InProceedings{Borgs:2008:MFT, author = "Christian Borgs and Jennifer Chayes and Nicole Immorlica and Adam Tauman Kalai and Vahab Mirrokni and Christos Papadimitriou", title = "The myth of the {Folk Theorem}", crossref = "ACM:2008:SPA", pages = "365--372", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374429", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "A well-known result in game theory known as `the Folk Theorem' suggests that finding Nash equilibria in repeated games should be easier than in one-shot games. In contrast, we show that the problem of finding any (approximate) Nash equilibrium for a three-player infinitely-repeated game is computationally intractable (even when all payoffs are in {-1,0,1}), unless all of PPAD can be solved in randomized polynomial time. This is done by showing that finding Nash equilibria of (k+1)-player infinitely-repeated games is as hard as finding Nash equilibria of $k$-player one-shot games, for which PPAD-hardness is known (Daskalakis, Goldberg and Papadimitriou, 2006; Chen, Deng and Teng, 2006; Chen, Teng and Valiant, 2007). This also explains why no computationally-efficient learning dynamics, such as the `no regret' algorithms, can be `rational' (in general games with three or more players) in the sense that, when one's opponents use such a strategy, it is not in general a best reply to follow suit.", acknowledgement = ack-nhfb, keywords = "folk theorem; Nash equilibrium; PPAD", } @InProceedings{Blum:2008:RMP, author = "Avrim Blum and MohammadTaghi Hajiaghayi and Katrina Ligett and Aaron Roth", title = "Regret minimization and the price of total anarchy", crossref = "ACM:2008:SPA", pages = "373--382", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374430", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We propose weakening the assumption made when studying the price of anarchy: Rather than assume that self-interested players will play according to a Nash equilibrium (which may even be computationally hard to find), we assume only that selfish players play so as to minimize their own regret. Regret minimization can be done via simple, efficient algorithms even in many settings where the number of action choices for each player is exponential in the natural parameters of the problem. We prove that despite our weakened assumptions, in several broad classes of games, this `price of total anarchy' matches the Nash price of anarchy, even though play may never converge to Nash equilibrium. In contrast to the price of anarchy and the recently introduced price of sinking, which require all players to behave in a prescribed manner, we show that the price of total anarchy is in many cases resilient to the presence of Byzantine players, about whom we make no assumptions. Finally, because the price of total anarchy is an upper bound on the price of anarchy even in mixed strategies, for some games our results yield as corollaries previously unknown bounds on the price of anarchy in mixed strategies.", acknowledgement = ack-nhfb, keywords = "algorithmic game theory; Nash equilibria; regret minimization", } @InProceedings{Valiant:2008:TSP, author = "Paul Valiant", title = "Testing symmetric properties of distributions", crossref = "ACM:2008:SPA", pages = "383--392", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374432", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We introduce the notion of a Canonical Tester for a class of properties on distributions, that is, a tester strong and general enough that `a distribution property in the class is testable if and only if the Canonical Tester tests it'. We construct a Canonical Tester for the class of symmetric properties of one or two distributions, satisfying a certain weak continuity condition. Analyzing the performance of the Canonical Tester on specific properties resolves several open problems, establishing lower bounds that match known upper bounds: we show that distinguishing between entropy $ \beta $ on distributions over $ [n] $ requires $ n^{\alpha / \beta - o(1)} $ samples, and distinguishing whether a pair of distributions has statistical distance $ \beta $ requires $ n^{1 - o(1)} $ samples. Our techniques also resolve a conjecture about a property that our Canonical Tester does not apply to: distinguishing identical distributions from those with statistical distance $ > \beta $ requires {$ \Omega (n^{2 / 3}) $} samples.", acknowledgement = ack-nhfb, keywords = "continuity; distribution testing; multivariate statistics; property testing; Vandermonde matrices", } @InProceedings{Benjamini:2008:EMC, author = "Itai Benjamini and Oded Schramm and Asaf Shapira", title = "Every minor-closed property of sparse graphs is testable", crossref = "ACM:2008:SPA", pages = "393--402", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374433", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Testing a property {$P$} of graphs in the bounded degree model deals with the following problem: given a graph {$G$} of bounded degree $d$ we should distinguish (with probability 0.9, say) between the case that {$G$} satisfies {$P$} and the case that one should add\slash remove at least $ \epsilon d n $ edges of {$G$} to make it satisfy {$P$}. In sharp contrast to property testing of dense graphs, which is relatively well understood, very few properties are known to be testable in bounded degree graphs with a constant number of queries. In this paper we identify for the first time a large (and natural) family of properties that can be efficiently tested in bounded degree graphs, by showing that every minor-closed graph property can be tested with a constant number of queries. As a special case, we infer that many well studied graph properties, like being planar, outer-planar, series-parallel, bounded genus, bounded tree-width and several others, are testable with a constant number of queries. None of these properties was previously known to be testable even with $ o(n) $ queries. The proof combines results from the theory of graph minors with results on convergent sequences of sparse graphs, which rely on martingale arguments.", acknowledgement = ack-nhfb, keywords = "graph algorithms; minor closed properties; property testing", } @InProceedings{Kaufman:2008:APT, author = "Tali Kaufman and Madhu Sudan", title = "Algebraic property testing: the role of invariance", crossref = "ACM:2008:SPA", pages = "403--412", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374434", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We argue that the symmetries of a property being tested play a central role in property testing. We support this assertion in the context of algebraic functions, by examining properties of functions mapping a vector space {$ K^n $} over a field {$K$} to a subfield {$F$}. We consider ({$F$}-)linear properties that are invariant under linear transformations of the domain and prove that an {$ O(1) $}-local `characterization' is a necessary and sufficient condition for {$ O(1) $}-local testability. when {$ |K| = O(1) $}. (A local characterization of a property is a definition of a property in terms of local constraints satisfied by functions exhibiting a property.) For the subclass of properties that are invariant under {\em affine\/} transformations of the domain, we prove that the existence of a single {$ O(1) $}-local constraint implies {$ O(1) $}-local testability. These results generalize and extend the class of algebraic properties, most notably linearity and low-degree-ness, that were previously known to be testable. In particular, the extensions include properties satisfied by functions of degree linear in $n$ that turn out to be {$ O(1) $}-locally testable. Our results are proved by introducing a new notion that we term `formal characterizations'. Roughly this corresponds to characterizations that are given by a single local constraint and its permutations under linear transformations of the domain. Our main testing result shows that local formal characterizations essentially imply local testability. We then investigate properties that are linear-invariant and attempt to understand their local formal characterizability. Our results here give coarse upper and lower bounds on the locality of constraints and characterizations for linear-invariant properties in terms of some structural parameters of the property we introduce. The lower bounds rule out any characterization, while the upper bounds give formal characterizations. Combining the two gives a test for all linear-invariant properties with local characterizations. We believe that invariance of properties is a very interesting notion to study in the context of property testing in general and merits a systematic study. In particular, the class of linear-invariant and affine-invariant properties exhibits a rich variety among algebraic properties and offer better intuition about algebraic properties than the more limited class of low-degree functions.", acknowledgement = ack-nhfb, keywords = "error-correcting codes; locally testable codes; sublinear time algorithms", } @InProceedings{Gordon:2008:CFS, author = "Dov S. Gordon and Hazay Carmit and Jonathan Katz and Yehuda Lindell", title = "Complete fairness in secure two-party computation", crossref = "ACM:2008:SPA", pages = "413--422", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374436", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In the setting of secure two-party computation, two mutually distrusting parties wish to compute some function of their inputs while preserving, to the extent possible, various security properties such as privacy, correctness, and more. One desirable property is fairness, which guarantees that if either party receives its output, then the other party does too. Cleve (STOC 1986) showed that complete fairness cannot be achieved in general in the two-party setting; specifically, he showed (essentially) that it is impossible to compute Boolean XOR with complete fairness. Since his work, the accepted folklore has been that nothing non-trivial can be computed with complete fairness, and the question of complete fairness in secure two-party computation has been treated as closed since the late '80s.\par In this paper, we demonstrate that this widely held folklore belief is false by showing completely-fair secure protocols for various non-trivial two-party functions including Boolean AND/OR as well as Yao's `millionaires' problem'. Surprisingly, we show that it is even possible to construct completely-fair protocols for certain functions containing an `embedded XOR', although in this case we also prove a lower bound showing that a super-logarithmic number of rounds are necessary. Our results demonstrate that the question of completely-fair secure computation without an honest majority is far from closed.", acknowledgement = ack-nhfb, keywords = "cryptography; fairness; secure computation", } @InProceedings{Kol:2008:GEI, author = "Gillat Kol and Moni Naor", title = "Games for exchanging information", crossref = "ACM:2008:SPA", pages = "423--432", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374437", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We consider the rational versions of two of the classical problems in foundations of cryptography: secret sharing and multiparty computation, suggested by Halpern and Teague (STOC 2004). Our goal is to design games and fair strategies that encourage rational participants to exchange information about their inputs for their mutual benefit, when the only mean of communication is a broadcast channel.\par We show that protocols for the above information exchanging tasks, where players' values come from a bounded domain, cannot satisfy some of the most desirable properties. In contrast, we provide a rational secret sharing scheme with simultaneous broadcast channel in which shares are taken from an unbounded domain, but have finite (and polynomial sized) expectation.\par Previous schemes (mostly cryptographic) have required computational assumptions, making them inexact and susceptible to backward induction, or used stronger communication channels. Our scheme is non-cryptographic, immune to backward induction, and satisfies a stronger rationality concept (strict Nash equilibrium). We show that our solution can also be used to construct an $ \epsilon $-Nash equilibrium secret sharing scheme for the case of a non-simultaneous broadcast channel.", acknowledgement = ack-nhfb, keywords = "backward induction; cryptography; game theory; multiparty computation; Nash equilibrium; secret sharing", } @InProceedings{Ishai:2008:CCC, author = "Yuval Ishai and Eyal Kushilevitz and Rafail Ostrovsky and Amit Sahai", title = "Cryptography with constant computational overhead", crossref = "ACM:2008:SPA", pages = "433--442", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374438", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Current constructions of cryptographic primitives typically involve a large multiplicative computational overhead that grows with the desired level of security. We explore the possibility of implementing basic cryptographic primitives, such as encryption, authentication, signatures, and secure two-party computation, while incurring only a constant computational overhead compared to insecure implementations of the same tasks. Here we make the usual security requirement that the advantage of any polynomial-time attacker must be negligible in the input length.\par We obtain affirmative answers to this question for most central cryptographic primitives under plausible, albeit sometimes nonstandard, intractability assumptions. We start by showing that pairwise-independent hash functions can be computed by linear-size circuits, disproving a conjecture of Mansour, Nisan, and Tiwari (STOC 1990). This construction does not rely on any unproven assumptions and is of independent interest. Our hash functions can be used to construct message authentication schemes with constant overhead from any one-way function. Under an intractability assumption that generalizes a previous assumption of Alekhnovich (FOCS 2003), we get (public and private key) encryption schemes with constant overhead. Using an exponentially strong version of the previous assumption, we get signature schemes of similar complexity. Assuming the existence of pseudorandom generators in NC $z$ with polynomial stretch together with the existence of an (arbitrary) oblivious transfer protocol, we get similar results for the seemingly very complex task of secure two-party computation. More concretely, we get general protocols for secure two-party computation in the semi-honest model in which the two parties can be implemented by circuits whose size is a constant multiple of the size $s$ of the circuit to be evaluated. In the malicious model, we get protocols whose communication complexity is a constant multiple of $s$ and whose computational complexity is slightly super-linear in $s$. For natural relaxations of security in the malicious model that are still meaningful in practice, we can also keep the computational complexity linear in $s$. These results extend to the case of a constant number of parties, where an arbitrary subset of the parties can be corrupted.\par Our protocols rely on non-black-box techniques, and suggest the intriguing possibility that the ultimate efficiency in this area of cryptography can be obtained via such techniques.", acknowledgement = ack-nhfb, keywords = "constant computational overhead; cryptography; universal hashing", } @InProceedings{Goyal:2008:VCT, author = "Navin Goyal and Neil Olver and F. B. Shepherd", title = "The {VPN} conjecture is true", crossref = "ACM:2008:SPA", pages = "443--450", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374440", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We consider the following network design problem. We are given an undirected graph {$ G = (V, E) $} with edges costs $ c(e) $ and a set of terminal nodes {$W$}. A {\em hose} demand matrix for {$W$} is any symmetric matrix {$ [D_{i, j}] $} such that for each $i$, {$ \sum j \neq i D_{i, j} \leq 1 $}. We must compute the minimum cost edge capacities that are able to support the oblivious routing of every hose matrix in the network.\par An oblivious routing template, in this context, is a simple path {$ P_{i, j} $} for each pair {$ i, j \in W $}. Given such a template, if we are to route a demand matrix {$D$}, then for each $ i, j $ we send {$ D_{i, j} $} units of flow along each {$ P_{i, j} $}. Fingerhut et al. and Gupta et al. obtained a $2$-approximation for this problem, using a solution template in the form of a tree. It has been widely asked and subsequently conjectured [Italiano 2006] that this solution actually results in the optimal capacity for the single path VPN design problem; this has become known as the VPN conjecture. The conjecture has previously been proven for some restricted classes of graphs [Hurkens 2005, Grandoni 2007, Fiorini 2007]. Our main theorem establishes that this conjecture is true in general graphs. This also gives the first polynomial time algorithm for the single path VPN problem. We also show that the multipath version of the conjecture is false.", acknowledgement = ack-nhfb, keywords = "network design; oblivious routing; robust optimization", } @InProceedings{Daitch:2008:FAL, author = "Samuel I. Daitch and Daniel A. Spielman", title = "Faster approximate lossy generalized flow via interior point algorithms", crossref = "ACM:2008:SPA", pages = "451--460", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374441", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present asymptotically faster approximation algorithms for the generalized flow problems in which multipliers on edges are at most $1$. For this lossy version of the maximum generalized flow problem, we obtain an additive $ \epsilon $ approximation of the maximum flow in time {$ O(m^{3 / 2} \log (U / \epsilon)^2) $}, where $m$ is the number of edges in the graph, all capacities are integers in the range \{1, \ldots{}, U\}, and all loss multipliers are ratios of integers in this range. For minimum cost lossy generalized flow with costs in the range \{1,\ldots{}, U\}, we obtain a flow that has value within an additive $ \epsilon $ of the maximum value and cost at most the optimal cost. In many parameter ranges, these algorithms improve over the previously fastest algorithms for the generalized maximum flow problem by a factor of $ m^{1 / 2} $ and for the minimum cost generalized flow problem by a factor of approximately $ m^{1 / 2} $ / $ \epsilon^2 $. The algorithms work by accelerating traditional interior point algorithms by quickly solving the system of linear equations that arises in each step. The contributions of this paper are twofold. First, we analyze the performance of interior point algorithms with approximate linear system solvers. This analysis alone provides an algorithm for the standard minimum cost flow problem that runs in time {$ O(m^{3 / 2} \log U) $}--an improvement of roughly {$ O(n / m^{1 / 2}) $} over previous algorithms. Second, we examine the linear equations that arise when using an interior point algorithm to solve generalized flow problems. We observe that these belong to the family of symmetric M-matrices, and we then develop {$ O(m) $}-time algorithms for solving linear systems in these matrices. These algorithms reduce the problem of solving a linear system in a symmetric {$M$}-matrix to that of solving {$ O(\log n) $} linear systems in symmetric diagonally-dominant matrices, which we can do in time {$ O(m) $} using the algorithm of Spielman and Teng. All of our algorithms operate on numbers of bit length at most {$ O(\log n U / \epsilon) $}.", acknowledgement = ack-nhfb, keywords = "approximation algorithms; interior-point algorithms; linear programming; network flows", } @InProceedings{Orecchia:2008:PGS, author = "Lorenzo Orecchia and Leonard J. Schulman and Umesh V. Vazirani and Nisheeth K. Vishnoi", title = "On partitioning graphs via single commodity flows", crossref = "ACM:2008:SPA", pages = "461--470", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374442", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In this paper we obtain improved upper and lower bounds for the best approximation factor for Sparsest Cut achievable in the cut-matching game framework proposed in Khandekar et al. [9]. We show that this simple framework can be used to design combinatorial algorithms that achieve {$ O(\log n) $} approximation factor and whose running time is dominated by a poly-logarithmic number of single-commodity max-flow computations. This matches the performance of the algorithm of Arora and Kale [2]. Moreover, we also show that it is impossible to get an approximation factor of better than {$ \Omega (\sqrt {\log n}) $} in the cut-matching game framework. These results suggest that the simple and concrete abstraction of the cut-matching game may be powerful enough to capture the essential features of the complexity of Sparsest Cut.", acknowledgement = ack-nhfb, keywords = "edge-separator; graph partitioning; matrix exponential; single-commodity max-flow; sparsest cut; spectral method", } @InProceedings{Kawarabayashi:2008:GMI, author = "Ken-ichi Kawarabayashi and Bojan Mohar", title = "Graph and map isomorphism and all polyhedral embeddings in linear time", crossref = "ACM:2008:SPA", pages = "471--480", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374443", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "For every surface {$S$} (orientable or non-orientable), we give a linear time algorithm to test the graph isomorphism of two graphs, one of which admits an embedding of face-width at least 3 into {$S$}. This improves a previously known algorithm whose time complexity is {$ n^{O(g)} $}, where $g$ is the genus of {$S$}. This is the first algorithm for which the degree of polynomial in the time complexity does not depend on $g$. The above result is based on two linear time algorithms, each of which solves a problem that is of independent interest. The first of these problems is the following one. Let {$S$} be a fixed surface. Given a graph {$G$} and an integer $ k \geq 3 $, we want to find an embedding of {$G$} in {$S$} of face-width at least $k$, or conclude that such an embedding does not exist. It is known that this problem is NP-hard when the surface is not fixed. Moreover, if there is an embedding, the algorithm can give all embeddings of face-width at least $k$, up to Whitney equivalence. Here, the face-width of an embedded graph {$G$} is the minimum number of points of {$G$} in which some non-contractible closed curve in the surface intersects the graph. In the proof of the above algorithm, we give a simpler proof and a better bound for the theorem by Mohar and Robertson concerning the number of polyhedral embeddings of 3-connected graphs. The second ingredient is a linear time algorithm for map isomorphism and Whitney equivalence. This part generalizes the seminal result of Hopcroft and Wong that graph isomorphism can be decided in linear time for planar graphs.", acknowledgement = ack-nhfb, keywords = "graph isomorphism; linear time algorithm; map isomorphism", } @InProceedings{Umans:2008:FPF, author = "Christopher Umans", title = "Fast polynomial factorization and modular composition in small characteristic", crossref = "ACM:2008:SPA", pages = "481--490", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374445", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We obtain randomized algorithms for factoring degree $n$ univariate polynomials over F\_q that use {$ O(n^{1.5 + o(1)} + n^{1 + o(1)} \log q) $} field operations, when the characteristic is at most $ n^{o(1)} $. When $ \log q < n $, this is asymptotically faster than the best previous algorithms (von zur Gathen \& Shoup (1992) and Kaltofen \& Shoup (1998)); for $ \log q \geq n $, it matches the asymptotic running time of the best known algorithms.\par The improvements come from a new algorithm for modular composition of degree $n$ univariate polynomials, which is the asymptotic bottleneck in fast algorithms for factoring polynomials over finite fields. The best previous algorithms for modular composition use {$ O(n^{(omega + 1) / 2}) $} field operations, where omega is the exponent of matrix multiplication (Brent & Kung (1978)), with a slight improvement in the exponent achieved by employing fast rectangular matrix multiplication (Huang & Pan (1997)).\par We show that modular composition and multipoint evaluation of multivariate polynomials are essentially equivalent in the sense that an algorithm for one achieving exponent $ \alpha $ implies an algorithm for the other with exponent $ \alpha + o(1) $, and vice versa. We then give a new algorithm that requires {$ O(n^{1 + o(1)}) $} field operations when the characteristic is at most $ n^{o(1)} $, which is optimal up to lower order terms.\par Our algorithms do not rely on fast matrix multiplication, in contrast to all previous subquadratic algorithms for these problems. The main operations are fast univariate polynomial arithmetic, multipoint evaluation, and interpolation, and consequently the algorithms could be feasible in practice.", acknowledgement = ack-nhfb, keywords = "modular composition; multipoint evaluation; polynomial factorization", } @InProceedings{Cai:2008:QLB, author = "Jin-Yi Cai and Xi Chen and Dong Li", title = "A quadratic lower bound for the permanent and determinant problem over any characteristic $ \neq 2 $", crossref = "ACM:2008:SPA", pages = "491--498", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374446", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In Valiant's theory of arithmetic complexity, the classes VP and VNP are analogs of P and NP. A fundamental problem concerning these classes is the Permanent and Determinant Problem: Given a field {$F$} of characteristic $ \neq 2 $, and an integer $n$, what is the minimum $m$ such that the permanent of an $ n \times n $ matrix {$ X = (x_{i, j}) $} can be expressed as a determinant of an $ m \times m $ matrix, where the entries of the determinant matrix are affine linear functions of $ x_{i, j} $'s, and the equality is in {$ F[X] $}. Mignon and Ressayre (2004) [11] proved a quadratic lower bound {$ m = \Omega (n^2) $} for fields of characteristic $0$. We extend the Mignon-Ressayre quadratic lower bound to all fields of characteristic $ \neq 2 $.", acknowledgement = ack-nhfb, keywords = "arithmetic complexity; determinant; finite field; permanent", } @InProceedings{De:2008:FIM, author = "Anindya De and Piyush P. Kurur and Chandan Saha and Ramprasad Saptharishi", title = "Fast integer multiplication using modular arithmetic", crossref = "ACM:2008:SPA", pages = "499--506", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374447", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We give an {$ O(N \log N 2^{O(\log *N)}) $} algorithm for multiplying two {$N$}-bit integers that improves the {$ O(N \log N \log \log N) $} algorithm by Sch{\"o}nhage--Strassen. Both these algorithms use modular arithmetic. Recently, F{\"u}rer gave an {$ O(N \log N 2^{O(\log *N)}) $} algorithm which however uses arithmetic over complex numbers as opposed to modular arithmetic. In this paper, we use multivariate polynomial multiplication along with ideas from F{\"u}rer's algorithm to achieve this improvement in the modular setting. Our algorithm can also be viewed as a $p$-adic version of F{\"u}rer's algorithm. Thus, we show that the two seemingly different approaches to integer multiplication, modular and complex arithmetic, are similar.", acknowledgement = ack-nhfb, keywords = "computational algebra; integer multiplication; modular arithmetic", } @InProceedings{Shpilka:2008:ROP, author = "Amir Shpilka and Ilya Volkovich", title = "Read-once polynomial identity testing", crossref = "ACM:2008:SPA", pages = "507--516", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374448", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In this paper we study the problems of polynomial identity testing (PIT) and reconstruction of read-once formulas. The following are some deterministic algorithms that we obtain. An {$ n^{O(k^2)} $} algorithm for checking whether given $k$ ROFs sum to zero or not. An {$ n^{O(d + k^2)} $} time algorithm for checking whether a black box holding the sum of $k$ depth $d$ ROFs computes the zero polynomial. In other words, we provide a hitting set of size {$ n^{O(d + k^2)} $} for the sum of $k$ depth $d$ ROFs. This implies an {$ n^{O(d)} $} deterministic algorithm for the reconstruction of depth $d$ ROFs. A hitting set of size {$ \exp (\tilde {O}(\sqrt {n} + k^2)) $} for the sum of $k$ ROFs (without depth restrictions). This implies a sub-exponential time deterministic algorithm for black-box identity testing and reconstructing of ROFs. To the best of our knowledge our results give the first polynomial time (non black-box) and sub-exponential time (black-box) identity testing algorithms for the sum of (a constant number of) ROFs. In addition, we introduce and study the read-once testing problem (ROT for short): Given an arithmetic circuit computing a polynomial P(x), decide whether there is a ROF computing P(x). If there is such a formula then output it. Otherwise output `No'. We show that most previous algorithms for polynomial identity testing can be strengthen to yield algorithms for the ROT problem. In particular we give ROT algorithms for: Depth-2 circuits (circuits computing sparse polynomials), Depth-3 circuits with bounded top fan-in (both in the black-box and non black-box settings, where the running time depends on the model), non-commutative formulas and sum of $k$ ROFs. The running time of the ROT algorithm is essentially the same running time as the corresponding PIT algorithm for the class. The main tool in most of our results is a new connection between polynomial identity testing and reconstruction of read-once formulas. Namely, we show that in any model that is closed under partial derivatives (that is, a partial derivative of a polynomial computed by a circuit in the model, can also be computed by a circuit in the model) and that has an efficient deterministic polynomial identity testing algorithm, we can also answer the read-once testing problem.", acknowledgement = ack-nhfb, keywords = "arithmetic circuits; bounded depth circuits; identity testing; read-once formulas; reconstruction", } @InProceedings{ODonnell:2008:CPP, author = "Ryan O'Donnell and Rocco A. Servedio", title = "The {Chow Parameters} problem", crossref = "ACM:2008:SPA", pages = "517--526", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374450", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In the 2nd Annual FOCS (1961), C. K. Chow proved that every Boolean threshold function is uniquely determined by its degree-0 and degree-1 Fourier coefficients. These numbers became known as the Chow Parameters. Providing an algorithmic version of Chow's theorem --- i.e., efficiently constructing a representation of a threshold function given its Chow Parameters --- has remained open ever since. This problem has received significant study in the fields of circuit complexity, game theory and the design of voting systems, and learning theory. In this paper we effectively solve the problem, giving a randomized PTAS with the following behavior: Theorem: Given the Chow Parameters of a Boolean threshold function $f$ over $n$ bits and any constant $ \epsilon $ > 0, the algorithm runs in time {$ O(n^2 \log^2 n) $} and with high probability outputs a representation of a threshold function $ f' $ which is $ \epsilon $-close to $f$. Along the way we prove several new results of independent interest about Boolean threshold functions. In addition to various structural results, these include the following new algorithmic results in learning theory (where threshold functions are usually called `halfspaces'): An {$ \tilde {O}(n^2) $}-time uniform distribution algorithm for learning halfspaces to constant accuracy in the `Restricted Focus of Attention' (RFA) model of Ben-David et al. [3]. This answers the main open question of [6]. An {$ O(n^2) $}-time agnostic-type learning algorithm for halfspaces under the uniform distribution. This contrasts with recent results of Guruswami and Raghavendra [21] who show that the learning problem we solve is NP-hard under general distributions. As a special case of the latter result we obtain the fastest known algorithm for learning halfspaces to constant accuracy in the uniform distribution PAC learning model. For constant $ \epsilon $ our algorithm runs in time ~O(n^2), which substantially improves on previous bounds and nearly matches the {$ \Omega (n^2) $} bits of training data that any successful learning algorithm must use.", acknowledgement = ack-nhfb, keywords = "Boolean function; chow parameters; Fourier analysis; threshold function", } @InProceedings{Gopalan:2008:ALD, author = "Parikshit Gopalan and Adam Tauman Kalai and Adam R. Klivans", title = "Agnostically learning decision trees", crossref = "ACM:2008:SPA", pages = "527--536", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374451", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We give a query algorithm for agnostically learning decision trees with respect to the uniform distribution on inputs. Given black-box access to an *arbitrary* binary function $f$ on the $n$-dimensional hypercube, our algorithm finds a function that agrees with $f$ on almost (within an epsilon fraction) as many inputs as the best size-t decision tree, in time poly(n,t,1$ \epsilon $ ).\par This is the first polynomial-time algorithm for learning decision trees in a harsh noise model. We also give a *proper* agnostic learning algorithm for juntas, a sub-class of decision trees, again using membership queries.\par Conceptually, the present paper parallels recent work towards agnostic learning of halfspaces (Kalai et al, 2005); algorithmically, it is more challenging. The core of our learning algorithm is a procedure to implicitly solve a convex optimization problem over the {$ L_1 $} ball in $ 2^n $ dimensions using an approximate gradient projection method.", acknowledgement = ack-nhfb, keywords = "agnostic learning; decision trees; learning in the presence of noise", } @InProceedings{Dasgupta:2008:RPT, author = "Sanjoy Dasgupta and Yoav Freund", title = "Random projection trees and low dimensional manifolds", crossref = "ACM:2008:SPA", pages = "537--546", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374452", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present a simple variant of the $k$-d tree which automatically adapts to intrinsic low dimensional structure in data without having to explicitly learn this structure.", acknowledgement = ack-nhfb, keywords = "$k$-$d$ tree; curse of dimension; manifold; random projection", } @InProceedings{Lovett:2008:ICG, author = "Shachar Lovett and Roy Meshulam and Alex Samorodnitsky", title = "Inverse conjecture for the {Gowers norm} is false", crossref = "ACM:2008:SPA", pages = "547--556", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374454", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Let $p$ be a fixed prime number and {$N$} be a large integer. The `Inverse Conjecture for the Gowers Norm' states that if the `$d$-th Gowers norm' of a function {$ f : F^N_p $} to {$ F_p $} is non-negligible, that is larger than a constant independent of {$N$}, then $f$ has a non-trivial correlation with a degree $ d - 1 $ polynomial. The conjecture is known to hold for $ d = 2, 3 $ and for any prime $p$. In this paper we show the conjecture to be false for $ p = 2 $ and for $ d = 4 $, by presenting an explicit function whose 4-th Gowers norm is non-negligible, but whose correlation with any polynomial of degree 3 is exponentially small. Essentially the same result, with different bounds for correlation, was independently obtained by Green and Tao. Their analysis uses a modification of a Ramsey-type argument of Alon and Beigel to show inapproximability of certain functions by low-degree polynomials. We observe that a combination of our results with the argument of Alon and Beigel implies the inverse conjecture to be false for any prime $p$, for $ d = p^2 $.", acknowledgement = ack-nhfb, keywords = "Gowers norm; low degree tests; multivariate polynomials", } @InProceedings{Lovett:2008:UPG, author = "Shachar Lovett", title = "Unconditional pseudorandom generators for low degree polynomials", crossref = "ACM:2008:SPA", pages = "557--562", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374455", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We give an explicit construction of pseudorandom generators against low degree polynomials over finite fields. We show that the sum of $ 2^d $ small-biased generators with error {$ \epsilon^2 O(d) $} is a pseudorandom generator against degree $d$ polynomials with error $ \epsilon $. This gives a generator with seed length {$ 2^{O(d)} \log (n / \epsilon) $}. Our construction follows the recent breakthrough result of Bogdanov and Viola. Their work shows that the sum of $d$ small-biased generators is a pseudo-random generator against degree $d$ polynomials, assuming the Inverse Gowers Conjecture. However, this conjecture is only proven for $ d = 2, 3 $. The main advantage of our work is that it does not rely on any unproven conjectures.", acknowledgement = ack-nhfb, keywords = "Fourier analysis; low degree tests; pseudorandom generators", } @InProceedings{Spielman:2008:GSE, author = "Daniel A. Spielman and Nikhil Srivastava", title = "Graph sparsification by effective resistances", crossref = "ACM:2008:SPA", pages = "563--568", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374456", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present a nearly-linear time algorithm that produces high-quality sparsifiers of weighted graphs. Given as input a weighted graph {$ G = (V, E, w) $} and a parameter $ \epsilon > 0 $, we produce a weighted subgraph {$ H = (V, {\~ E}, {\~ w}) $} of {$G$} such that {$ |{\~ E}| = O(n \log n / \epsilon^2) $} and for all vectors $x$ in {$ R^V $}. {$ (1 - \epsilon) \sum_{u, v} \in E (x(u) - x(v))^2 w_{u, v} \leq \sum_{u, v} \in {\~ E}(x(u) - x(v))^2 {\~ w}_{u, v} \leq (1 + \epsilon) \sum_{u_v} \in E(x(u) - x(v))^2 w_{u, v} $}. This improves upon the sparsifiers constructed by Spielman and Teng, which had {$ O(n \log^c n) $} edges for some large constant $c$, and upon those of Benczur and Karger, which only satisfied (1) for $x$ in {$ \{ 0, 1 \}^V $}. We conjecture the existence of sparsifiers with {$ O(n) $} edges, noting that these would generalize the notion of expander graphs, which are constant-degree sparsifiers for the complete graph. A key ingredient in our algorithm is a subroutine of independent interest: a nearly-linear time algorithm that builds a data structure from which we can query the approximate effective resistance between any two vertices in a graph in {$ O(\log n) $} time.", acknowledgement = ack-nhfb, keywords = "electrical flows; random sampling; spectral graph theory", } @InProceedings{ODonnell:2008:STA, author = "Ryan O'Donnell", title = "Some topics in analysis of {Boolean} functions", crossref = "ACM:2008:SPA", pages = "569--578", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374458", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "This article accompanies a tutorial talk given at the 40th ACM STOC conference. In it, we give a brief introduction to Fourier analysis of Boolean functions and then discuss some applications: Arrow's Theorem and other ideas from the theory of Social Choice; the Bonami-Beckner Inequality as an extension of Chernoff/Hoeffding bounds to higher-degree polynomials; and, hardness for approximation algorithms.", acknowledgement = ack-nhfb, keywords = "analysis of Boolean functions; Fourier analysis", } @InProceedings{Impagliazzo:2008:UDP, author = "Russell Impagliazzo and Ragesh Jaiswal and Valentine Kabanets and Avi Wigderson", title = "Uniform direct product theorems: simplified, optimized, and derandomized", crossref = "ACM:2008:SPA", pages = "579--588", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374460", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "The classical Direct-Product Theorem for circuits says that if a Boolean function $ f : {0, 1}^n \rightarrow {0, 1} $ is somewhat hard to compute on average by small circuits, then the corresponding $k$-wise direct product function $ f^k(x_1, \ldots {}, x_k) = (f(x_1), \ldots {}, f(x_k)) $ (where each $ x_i \rightarrow {0, 1}^n $ ) is significantly harder to compute on average by slightly smaller circuits. We prove a fully uniform version of the Direct-Product Theorem with information-theoretically optimal parameters, up to constant factors. Namely, we show that for given $k$ and $ \epsilon $, there is an efficient randomized algorithm {$A$} with the following property. Given a circuit {$C$} that computes $ f^k $ on at least $ \epsilon $ fraction of inputs, the algorithm A outputs with probability at least $ 3 / 4 $ a list of {$ O(1 / \epsilon) $} circuits such that at least one of the circuits on the list computes $f$ on more than $ 1 - \delta $ fraction of inputs, for {$ \delta = O((\log 1 / \epsilon) / k) $}. Moreover, each output circuit is an AC$^0$ circuit (of size $ \poly (n, k, \log 1 / \delta, 1 / \epsilon) $ ), with oracle access to the circuit {$C$}. Using the Goldreich--Levin decoding algorithm [5], we also get a fully uniform version of Yao's XOR Lemma [18] with optimal parameters, up to constant factors. Our results simplify and improve those in [10]. Our main result may be viewed as an efficient approximate, local, list-decoding algorithm for direct-product codes (encoding a function by its values on all $k$-tuples) with optimal parameters. We generalize it to a family of `derandomized' direct-product codes, which we call intersection codes, where the encoding provides values of the function only on a subfamily of $k$-tuples. The quality of the decoding algorithm is then determined by sampling properties of the sets in this family and their intersections. As a direct consequence of this generalization we obtain the first derandomized direct product result in the uniform setting, allowing hardness amplification with only constant (as opposed to a factor of $k$ ) increase in the input length. Finally, this general setting naturally allows the decoding of concatenated codes, which further yields nearly optimal derandomized amplification.", acknowledgement = ack-nhfb, keywords = "direct product code; direct product theorem; XOR code", } @InProceedings{Shaltiel:2008:HAP, author = "Ronen Shaltiel and Emanuele Viola", title = "Hardness amplification proofs require majority", crossref = "ACM:2008:SPA", pages = "589--598", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374461", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Hardness amplification is the fundamental task of converting a $ \delta $-hard function $ f : (0, 1)^n \rightarrow (0, 1) $ into a ($ 1 / 2 - \epsilon $ )-hard function {$ \Amp (f) $}, where $f$ is $ \gamma $-hard if small circuits fail to compute $f$ on at least a $ \gamma $ fraction of the inputs. Typically, $ \epsilon $, $ \delta $ are small (and $ \delta = 2^{-k} $ captures the case where $f$ is worst-case hard). Achieving {$ \epsilon = 1 / n^{\Omega (1)} $} is a prerequisite for cryptography and most pseudorandom-generator constructions.\par In this paper we study the complexity of black-box proofs of hardness amplification. A class of circuits cal {$D$} {\em proves\/} a hardness amplification result if for any function $h$ that agrees with {$ \Amp (f) $} on a $ 1 / 2 + e $ fraction of the inputs there exists an oracle circuit {$ D \in D $} such that {$ D^h $} agrees with $f$ on a $ 1 - \delta $ fraction of the inputs. We focus on the case where every {$ D \in D $} makes {\em non-adaptive\/} queries to $h$. This setting captures most hardness amplification techniques. We prove two main results:\par (1) The circuits in {$D$} `can be used' to compute the majority function on $ 1 / \epsilon $ bits. In particular, these circuits have large depth when $ \epsilon \leq 1 / \poly \log n $. \par (2) The circuits in {$D$} must make {$ \Omega \log (1 / \delta) / e^2 $} oracle queries.\par Both our bounds on the depth and on the number of queries are tight up to constant factors.\par Our results explain why hardness amplification techniques have failed to transform known lower bounds against constant-depth circuit classes into strong average-case lower bounds. When coupled with the celebrated `Natural Proofs' result by Razborov and Rudich (J. CSS '97) and the pseudorandom functions by Naor and Reingold (J. ACM '04), our results show that {\em standard techniques for hardness amplification can only be applied to those circuit classes for which standard techniques cannot prove circuit lower bounds.}\par Our results reveal a contrast between Yao's XOR Lemma ({$ \Amp (f) := f(x_1) \oplus \ldots {} \oplus f(x_t) \in z o $} and the Direct-Product Lemma {$ (\Amp (f) := f(x_1) \circ \ldots {} \circ f(x_t) \in z o^t) $}; here {$ \Amp (f) $} is non-Boolean). Our results (1) and (2) apply to Yao's XOR lemma, whereas known proofs of the direct-product lemma violate both (1) and (2).\par One of our contributions is a new technique to handle `non-uniform' reductions, i.e. the case when {$D$} contains many circuits.", acknowledgement = ack-nhfb, keywords = "amplification; average-case complexity; black-box; constant-depth circuits; hardness; majority; natural proofs", } @InProceedings{Jain:2008:DPT, author = "Rahul Jain and Hartmut Klauck and Ashwin Nayak", title = "Direct product theorems for classical communication complexity via subdistribution bounds: extended abstract", crossref = "ACM:2008:SPA", pages = "599--608", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374462", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "A basic question in complexity theory is whether the computational resources required for solving $k$ independent instances of the same problem scale as $k$ times the resources required for one instance. We investigate this question in various models of classical communication complexity. We introduce a new measure, the subdistribution bound, which is a relaxation of the well-studied rectangle or corruption bound in communication complexity. We nonetheless show that for the communication complexity of Boolean functions with constant error, the subdistribution bound is the same as the latter measure, up to a constant factor. We prove that the one-way version of this bound tightly captures the one-way public-coin randomized communication complexity of any relation, and the two-way version bounds the two-way public-coin randomized communication complexity from below. More importantly, we show that the bound satisfies the strong direct product property under product distributions for both one- and two-way protocols, and the weak direct product property under arbitrary distributions for two-way protocols. These results subsume and strengthen, in a unified manner, several recent results on the direct product question. The simplicity and broad applicability of our technique is perhaps an indication of its potential to solve yet more challenging questions regarding the direct product problem.", acknowledgement = ack-nhfb, keywords = "communication complexity; direct product; information theory; rectangle bounds; subdistribution bounds", } @InProceedings{Blum:2008:LTA, author = "Avrim Blum and Katrina Ligett and Aaron Roth", title = "A learning theory approach to non-interactive database privacy", crossref = "ACM:2008:SPA", pages = "609--618", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374464", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We demonstrate that, ignoring computational constraints, it is possible to release privacy-preserving databases that are useful for all queries over a discretized domain from any given concept class with polynomial VC-dimension. We show a new lower bound for releasing databases that are useful for halfspace queries over a continuous domain. Despite this, we give a privacy-preserving polynomial time algorithm that releases information useful for all halfspace queries, for a slightly relaxed definition of usefulness. Inspired by learning theory, we introduce a new notion of data privacy, which we call distributional privacy, and show that it is strictly stronger than the prevailing privacy notion, differential privacy.", acknowledgement = ack-nhfb, keywords = "learning theory; non-interactive database privacy", } @InProceedings{Feldman:2008:ELA, author = "Vitaly Feldman", title = "Evolvability from learning algorithms", crossref = "ACM:2008:SPA", pages = "619--628", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374465", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Valiant has recently introduced a framework for analyzing the capabilities and the limitations of the evolutionary process of random change guided by selection. In his framework the process of acquiring a complex functionality is viewed as a substantially restricted form of PAC learning of an unknown function from a certain set of functions. Valiant showed that classes of functions evolvable in his model are also learnable in the statistical query (SQ) model of Kearns and asked whether the converse is true.\par We show that evolvability is equivalent to learnability by a restricted form of statistical queries. Based on this equivalence we prove that for any fixed distribution {$D$} over the instance space, every class of functions learnable by SQs over {$D$} is evolvable over {$D$}. Previously, only the evolvability of monotone conjunctions of Boolean variables over the uniform distribution was known. On the other hand, we prove that the answer to Valiant's question is negative when distribution-independent evolvability is considered. To demonstrate this, we develop a technique for proving lower bounds on evolvability and use it to show that decision lists and linear threshold functions are not evolvable in a distribution-independent way. This is in contrast to distribution-independent learnability of decision lists and linear threshold functions in the statistical query model.", acknowledgement = ack-nhfb, keywords = "evolvability; PAC learning; statistical query", } @InProceedings{Kalai:2008:ABP, author = "Adam Tauman Kalai and Yishay Mansour and Elad Verbin", title = "On agnostic boosting and parity learning", crossref = "ACM:2008:SPA", pages = "629--638", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374466", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "The motivating problem is agnostically learning parity functions, i.e., parity with arbitrary or adversarial noise. Specifically, given random labeled examples from an *arbitrary* distribution, we would like to produce an hypothesis whose accuracy nearly matches the accuracy of the best parity function. Our algorithm runs in time {$ 2^{O(n / log n)} $}, which matches the best known for the easier cases of learning parities with random classification noise (Blum et al, 2003) and for agnostically learning parities over the uniform distribution on inputs (Feldman et al, 2006).\par Our approach is as follows. We give an agnostic boosting theorem that is capable of nearly achieving optimal accuracy, improving upon earlier studies (starting with Ben David et al, 2001). To achieve this, we circumvent previous lower bounds by altering the boosting model. We then show that the (random noise) parity learning algorithm of Blum et al (2000) fits our new model of agnostic weak learner. Our agnostic boosting framework is completely general and may be applied to other agnostic learning problems. Hence, it also sheds light on the actual difficulty of agnostic learning by showing that full agnostic boosting is indeed possible.", acknowledgement = ack-nhfb, keywords = "agnostic boosting; agnostic learning; learning parity with noise; sub-exponential algorithms", } @InProceedings{Haussler:2008:CHW, author = "David Haussler", title = "Computing how we became human", crossref = "ACM:2008:SPA", pages = "639--640", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374468", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "With our ability to sequence entire genomes, we have for the first time the opportunity to compare the genomes of present day species, and deduce the trajectories by which they diversified from a common ancestral genome. For example, starting with a small shrew-like ancestor in the Cretaceous period about 100 million years ago, the different species of placental mammals radiated outward, creating a stunning diversity of forms from whales to armadillos to humans. From the genomes of present-day species, it is possible to computationally reconstruct what most of the DNA bases in the genome of the common ancestor of placental mammals must have looked like, and deduce most of the changes that lead to humans. In so doing, we discover how Darwinian evolution has shaped us at the molecular level.\par Because most random mutations to functionally important regions of DNA reduce fitness, these changes usually disappear over time, in a process known as negative selection. From its unusually high conservation between species, it is immediately evident that at least 5\% of the human genome has been under negative selection during most of mammalian evolution, and is hence likely to be functionally important. Protein-coding genes and structural RNA genes stand out among the negatively selected regions because of their distinctive pattern of restricted DNA base substitutions, insertions and deletions. However, most of the DNA under negative selection in mammalian genomes, and indeed in vertebrate genomes in general, does not appear to be part of protein-coding or structural RNA genes, and shares no sequence similarity with any DNA in the genomes of invertebrates. Experimental evidence suggests that many of these unclassified vertebrate-conserved DNA elements serve to regulate genes involved in embryonic development. A significant amount of this material appears to have been put into place by the movement of transposons, mobile DNA elements that are derived from ancient viruses, the remnants of which constitute at least half of our genome. This provides new evidence for older theories of McClintock and later Britten and Davidson that mobile DNA elements played a significant role in the evolution of plant and animal gene regulatory networks.\par Overlaid on the background of negative selection, we occasionally see a short segment of DNA that has changed rapidly in a particular lineage, suggesting possible positive selection for a modified function in that lineage. The most dramatic example of this in the last 5 million years of human evolution occurs in a previously unstudied RNA gene expressed in the developing cerebral cortex, known as Human Accelerated Region 1 (HAR1). This gene is turned on only in a select set of neurons, during the time in fetal development when these neurons orchestrate the formation of the substantially larger cortex of the human brain. It will be many years before the biology of such examples is fully understood, but right now we relish the opportunity to get a first peek at the molecular tinkering that transmuted our animal ancestors into humans.", acknowledgement = ack-nhfb, keywords = "genomes; mammalian evolution; selection; transposons", } @InProceedings{Chakrabarti:2008:RLB, author = "Amit Chakrabarti and Graham Cormode and Andrew McGregor", title = "Robust lower bounds for communication and stream computation", crossref = "ACM:2008:SPA", pages = "641--650", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374470", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We study the communication complexity of evaluating functions when the input data is randomly allocated (according to some known distribution) amongst two or more players, possibly with information overlap. This naturally extends previously studied variable partition models such as the best-case and worst-case partition models [32,29]. We aim to understand whether the hardness of a communication problem holds for almost every allocation of the input, as opposed to holding for perhaps just a few atypical partitions.\par A key application is to the heavily studied data stream model. There is a strong connection between our communication lower bounds and lower bounds in the data stream model that are `robust' to the ordering of the data. That is, we prove lower bounds for when the order of the items in the stream is chosen not adversarially but rather uniformly (or near-uniformly) from the set of all permutations. This random-order data stream model has attracted recent interest, since lower bounds here give stronger evidence for the inherent hardness of streaming problems. Our results include the first random-partition communication lower bounds for problems including multi-party set disjointness and gap-Hamming-distance. Both are tight. We also extend and improve previous results [19,7] for a form of pointer jumping that is relevant to the problem of selection (in particular, median finding). Collectively, these results yield lower bounds for a variety of problems in the random-order data stream model, including estimating the number of distinct elements, approximating frequency moments, and quantile estimation.", acknowledgement = ack-nhfb, keywords = "communication complexity; data streams; lower bounds", } @InProceedings{Mironov:2008:SAE, author = "Ilya Mironov and Moni Naor and Gil Segev", title = "Sketching in adversarial environments", crossref = "ACM:2008:SPA", pages = "651--660", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374471", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We formalize a realistic model for computations over massive data sets. The model, referred to as the {\em adversarial sketch model}, unifies the well-studied sketch and data stream models together with a cryptographic flavor that considers the execution of protocols in `hostile environments', and provides a framework for studying the complexity of many tasks involving massive data sets.\par The adversarial sketch model consists of several participating parties: honest parties, whose goal is to compute a pre-determined function of their inputs, and an adversarial party. Computation in this model proceeds in two phases. In the first phase, the adversarial party chooses the inputs of the honest parties. These inputs are sets of elements taken from a large universe, and provided to the honest parties in an on-line manner in the form of a sequence of insert and delete operations. Once an operation from the sequence has been processed it is discarded and cannot be retrieved unless explicitly stored. During this phase the honest parties are not allowed to communicate. Moreover, they do not share any secret information and any public information they share is known to the adversary in advance. In the second phase, the honest parties engage in a protocol in order to compute a pre-determined function of their inputs.\par In this paper we settle the complexity (up to logarithmic factors) of two fundamental problems in this model: testing whether two massive data sets are equal, and approximating the size of their symmetric difference. We construct explicit and efficient protocols with sublinear sketches of essentially optimal size, poly-logarithmic update time during the first phase, and poly-logarithmic communication and computation during the second phase. Our main technical contribution is an explicit and deterministic encoding scheme that enjoys two seemingly conflicting properties: incrementality and high distance, which may be of independent interest.", acknowledgement = ack-nhfb, keywords = "data stream model; massive data sets; sketch model", } @InProceedings{Barkol:2008:CPR, author = "Omer Barkol and Yuval Ishai and Enav Weinreb", title = "Communication in the presence of replication", crossref = "ACM:2008:SPA", pages = "661--670", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374472", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We consider the following problem. Suppose that a big amount of data is distributed among several parties, so that each party misses only few pieces of data. The parties wish to perform some global computation on the data while minimizing the communication between them. This situation is common in many real-life scenarios. A naive solution to this problem is to first perform a synchronization step, letting one party learn all pieces of data, and then let this party perform the required computation locally. We study the question of obtaining better solutions to the problem, focusing mainly on the case of computing low-degree polynomials via non-interactive protocols. We present interesting connections between this problem and the well studied cryptographic problem of secret sharing. We use this connection to obtain nontrivial upper bounds and lower bounds using results and techniques from the domain of secret sharing. The relation with open problems from the area of secret sharing also provides evidence for the difficulty of resolving some of the questions we leave open.", acknowledgement = ack-nhfb, keywords = "communication complexity; secret sharing; simultaneous messages", } @InProceedings{Balcan:2008:DFC, author = "Maria-Florina Balcan and Avrim Blum and Santosh Vempala", title = "A discriminative framework for clustering via similarity functions", crossref = "ACM:2008:SPA", pages = "671--680", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374474", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Problems of clustering data from pairwise similarity information are ubiquitous in Computer Science. Theoretical treatments typically view the similarity information as ground-truth and then design algorithms to (approximately) optimize various graph-based objective functions. However, in most applications, this similarity information is merely based on some heuristic; the ground truth is really the unknown correct clustering of the data points and the real goal is to achieve low error on the data. In this work, we develop a theoretical approach to clustering from this perspective. In particular, motivated by recent work in learning theory that asks `what natural properties of a similarity (or kernel) function are sufficient to be able to learn well?' we ask `what natural properties of a similarity function are sufficient to be able to cluster well?'\par To study this question we develop a theoretical framework that can be viewed as an analog of the PAC learning model for clustering, where the object of study, rather than being a concept class, is a class of (concept, similarity function) pairs, or equivalently, a property the similarity function should satisfy with respect to the ground truth clustering. We then analyze both algorithmic and information theoretic issues in our model. While quite strong properties are needed if the goal is to produce a single approximately-correct clustering, we find that a number of reasonable properties are sufficient under two natural relaxations: (a) list clustering: analogous to the notion of list-decoding, the algorithm can produce a small list of clusterings (which a user can select from) and (b) hierarchical clustering: the algorithm's goal is to produce a hierarchy such that desired clustering is some pruning of this tree (which a user could navigate). We develop a notion of the clustering complexity of a given property (analogous to notions of capacity in learning theory), that characterizes its information-theoretic usefulness for clustering. We analyze this quantity for several natural game-theoretic and learning-theoretic properties, as well as design new efficient algorithms that are able to take advantage of them. Our algorithms for hierarchical clustering combine recent learning-theoretic approaches with linkage-style methods. We also show how our algorithms can be extended to the inductive case, i.e., by using just a constant-sized sample, as in property testing. The analysis here uses regularity-type results of [FK] and [AFKK].", acknowledgement = ack-nhfb, keywords = "clustering; learning; similarity functions", } @InProceedings{Kleinberg:2008:MAB, author = "Robert Kleinberg and Aleksandrs Slivkins and Eli Upfal", title = "Multi-armed bandits in metric spaces", crossref = "ACM:2008:SPA", pages = "681--690", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374475", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In a multi-armed bandit problem, an online algorithm chooses from a set of strategies in a sequence of $n$ trials so as to maximize the total payoff of the chosen strategies. While the performance of bandit algorithms with a small finite strategy set is quite well understood, bandit problems with large strategy sets are still a topic of very active investigation, motivated by practical applications such as online auctions and web advertisement. The goal of such research is to identify broad and natural classes of strategy sets and payoff functions which enable the design of efficient solutions.\par In this work we study a very general setting for the multi-armed bandit problem in which the strategies form a metric space, and the payoff function satisfies a Lipschitz condition with respect to the metric. We refer to this problem as the `Lipschitz MAB problem'. We present a complete solution for the multi-armed problem in this setting. That is, for every metric space (L,X) we define an isometry invariant Max Min COV(X) which bounds from below the performance of Lipschitz MAB algorithms for {$X$}, and we present an algorithm which comes arbitrarily close to meeting this bound. Furthermore, our technique gives even better results for benign payoff functions.", acknowledgement = ack-nhfb, keywords = "covering dimension; metric spaces; multi-armed bandit problem; online learning", } @InProceedings{Awerbuch:2008:SDG, author = "Baruch Awerbuch and Rohit Khandekar", title = "Stateless distributed gradient descent for positive linear programs", crossref = "ACM:2008:SPA", pages = "691--700", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374476", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We develop a framework of distributed and stateless solutions for packing and covering linear programs, which are solved by multiple agents operating in a cooperative but uncoordinated manner. Our model has a separate `agent' controlling each variable and an agent is allowed to read-off the current values only of those constraints in which it has non-zero coefficients. This is a natural model for many distributed applications like flow control, maximum bipartite matching, and dominating sets.\par The most appealing feature of our algorithms is their simplicity and polylogarithmic convergence. For the packing LP {$ \max \{ c x | A x = 0 \} $}, the algorithm associates a dual variable {$ y_i = \exp [1 \epsilon * (A_i x / b_{i - 1})] $} for each constraint $i$ and each agent $j$ iteratively increases (resp. decreases) $ x_j $ multiplicatively if {$ A_j^T y $} is too small (resp. large) as compared to $ c_j $. Our algorithm starting from a feasible solution, always maintains feasibility, and computes a $ (1 + \epsilon) $ approximation in {$ \poly ((\ln (m n A_{\rm max})) \epsilon) $} rounds. Here $m$ and $n$ are number of rows and columns of {$A$} and {$ A_{\rm max} $}, also known as the `width' of the LP, is the ratio of maximum and minimum non-zero entries {$ A_i j / (b_i c_j) $}. Similar algorithm works for the covering LP {$ \min {by | A^T y \geq c, y \geq 0} $} as well.\par While exponential dual variables are used in several packing\slash covering LP algorithms before [25, 9, 13, 12, 26, 16], this is the first algorithm which is both stateless and has polylogarithmic convergence. Our algorithms can be thought of as applying distributed gradient descent\slash ascent on a carefully chosen potential. Our analysis differs from those of previous multiplicative update based algorithms and argues that while the current solution is far away from optimality, the potential function decreases/increases by a significant factor.", acknowledgement = ack-nhfb, keywords = "distributed and stateless algorithms; fast convergence; gradient descent; linear programming", } @InProceedings{Nordstrom:2008:TOS, author = "Jakob Nordstr{\"o}m and Johan H{\aa}stad", title = "Towards an optimal separation of space and length in resolution", crossref = "ACM:2008:SPA", pages = "701--710", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374478", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Most state-of-the-art satisfiability algorithms today are variants of the DPLL procedure augmented with clause learning. The main bottleneck for such algorithms, other than the obvious one of time, is the amount of memory used. In the field of proof complexity, the resources of time and memory correspond to the length and space of resolution proofs. There has been a long line of research trying to understand these proof complexity measures, as well as relating them to the width of proofs, i.e., the size of the largest clause in the proof, which has been shown to be intimately connected with both length and space. While strong results have been proven for length and width, our understanding of space is still quite poor. For instance, it has remained open whether the fact that a formula is provable in short length implies that it is also provable in small space (which is the case for length versus width), or whether on the contrary these measures are completely unrelated in the sense that short proofs can be arbitrarily complex with respect to space.\par In this paper, we present some evidence that the true answer should be that the latter case holds and provide a possible roadmap for how such an optimal separation result could be obtained. We do this by proving a tight bound of {$ \Theta (\sqrt {n}) $} on the space needed for so-called pebbling contradictions over pyramid graphs of size $n$.\par Also, continuing the line of research initiated by (Ben-Sasson 2002) into trade-offs between different proof complexity measures, we present a simplified proof of the recent length-space trade-off result in (Hertel and Pitassi 2007), and show how our ideas can be used to prove a couple of other exponential trade-offs in resolution.", acknowledgement = ack-nhfb, keywords = "length; lower bound; pebbling; proof complexity; resolution; separation; space", } @InProceedings{Raz:2008:EFL, author = "Ran Raz", title = "Elusive functions and lower bounds for arithmetic circuits", crossref = "ACM:2008:SPA", pages = "711--720", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374479", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "A basic fact in linear algebra is that the image of the curve $ f(x) = (x^1, x^2, x^3, \ldots {}, x^m) $, say over {$C$}, is not contained in any $ m - 1 $ dimensional affine subspace of {$ C^m $}. In other words, the image of $f$ is not contained in the image of any polynomial-mapping {$ \Gamma : C^{m - 1} \rightarrow C^m $} of degree~1 (that is, an affine mapping). Can one give an explicit example for a polynomial curve {$ f : C \rightarrow C^m $}, such that, the image of $f$ is not contained in the image of any polynomial-mapping {$ \Gamma : C^{m - 1} \rightarrow C^m $} of degree 2? In this paper, we show that problems of this type are closely related to proving lower bounds for the size of general arithmetic circuits. For example, any explicit $f$ as above (with the right notion of explicitness) implies super-polynomial lower bounds for computing the permanent over~{$C$}. More generally, we say that a polynomial-mapping {$ f : F^n \rightarrow F^m $} is $ (s, r) $-elusive, if for every polynomial-mapping {$ \Gamma : F^s \rightarrow F^m $} of degree $r$, {$ I m(f) \not \subset I m(\Gamma) $}. We show that for many settings of the parameters $ n, m, s, r $, explicit constructions of elusive polynomial-mappings imply strong (up to exponential) lower bounds for general arithmetic circuits. Finally, for every $r$, of degree {$ O(r) $}, that is $ (s, r) $-elusive for {$ s = n^{1 + \Omega (1 / r)} $}. We use this to construct for any $r$, an explicit example for an $n$-variate polynomial of total-degree {$ O(r) $}, with coefficients in $ \{ 0, 1, \} $ such that, any depth $r$ arithmetic circuit for this polynomial (over any field) is of size {$ \geq n^{1 + \Omega (1 / r)} $}. In particular, for any constant $r$, this gives a constant degree polynomial, such that, any depth $r$ arithmetic circuit for this polynomial is of size {$ \geq n^{1 + \Omega (1)} $}. Previously, only lower bounds of the type {$ \Omega (n \lambda_r (n)) $}, where $ \lambda_r (n) $ are extremely slowly growing functions (e.g., $ \lambda_5 (n) = \log n $, and $ \lambda_7 (n) = \log * \log * n $ ), were known for constant-depth arithmetic circuits for polynomials of constant degree.", acknowledgement = ack-nhfb, keywords = "arithmetic circuits; bounded depth circuits; circuit complexity; lower bounds", } @InProceedings{Rossman:2008:CDC, author = "Benjamin Rossman", title = "On the constant-depth complexity of $k$-clique", crossref = "ACM:2008:SPA", pages = "721--730", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374480", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We prove a lower bound of $ \omega (n^{k / 4}) $ on the size of constant-depth circuits solving the $k$-clique problem on $n$-vertex graphs (for every constant $k$ ). This improves a lower bound of $ \omega (n^{k / 89 d^2}) $ due to Beame where $d$ is the circuit depth. Our lower bound has the advantage that it does not depend on the constant $d$ in the exponent of $n$, thus breaking the mold of the traditional size-depth tradeoff.\par Our $k$-clique lower bound derives from a stronger result of independent interest. Suppose $ f_n : 0, 1^{n / 2} \rightarrow \{ 0, 1 \} $ is a sequence of functions computed by constant-depth circuits of size {$ O(n^t) $}. Let {$G$} be an Erd{\H{o}}s-R{\'e}nyi random graph with vertex set $ \{ 1, \ldots {}, n \} $ and independent edge probabilities $ n^{- \alpha } $ where $ \alpha \leq 1 / 2 t - 1 $. Let {$A$} be a uniform random $k$-element subset of $ \{ 1, \ldots {}, n \} $ (where $k$ is any constant independent of $n$ ) and let {$ K_A $} denote the clique supported on {$A$}. We prove that {$ f_n (G) = f_n (G \cup K_A) $} asymptotically almost surely.\par These results resolve a long-standing open question in finite model theory (going back at least to Immerman in 1982). The $m$-variable fragment of first-order logic, denoted by {$ {\rm FO}^m $}, consists of the first-order sentences which involve at most $m$ variables. Our results imply that the bounded variable hierarchy {$ {\rm FO}^1 \subset {\rm FO}^2 \subset \ldots {} \subset {\rm FO}^m \subset \ldots {} $} is strict in terms of expressive power on finite ordered graphs. It was previously unknown that {$ {\rm FO}^3 $} is less expressive than full first-order logic on finite ordered graphs.", acknowledgement = ack-nhfb, keywords = "$k$-clique; AC$^0$; bounded variable hierarchy; circuit complexity; constant-depth circuits; first-order logic", } @InProceedings{Aaronson:2008:ANB, author = "Scott Aaronson and Avi Wigderson", title = "Algebrization: a new barrier in complexity theory", crossref = "ACM:2008:SPA", pages = "731--740", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374481", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "Any proof of P $ \neq $ NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does not have linear-size circuits) that overcome both barriers simultaneously. So the question arises of whether there is a third barrier to progress on the central questions in complexity theory.\par In this paper we present such a barrier, which we call algebraic relativization or algebrization. The idea is that, when we relativize some complexity class inclusion, we should give the simulating machine access not only to an oracle A, but also to a low-degree extension of A over a finite field or ring.\par We systematically go through basic results and open problems in complexity theory to delineate the power of the new algebrization barrier. First, we show that all known non-relativizing results based on arithmetization -- both inclusions such as IP=PSPACE and MIP=NEXP, and separations such as MAEXP not in P/poly -- do indeed algebrize. Second, we show that almost all of the major open problems -- including P versus NP, P versus RP, and NEXP versus P/poly -- will require non-algebrizing techniques. In some cases algebrization seems to explain exactly why progress stopped where it did: for example, why we have superlinear circuit lower bounds for PromiseMA but not for NP.\par Our second set of results follows from lower bounds in a new model of algebraic query complexity, which we introduce in this paper and which is interesting in its own right. Some of our lower bounds use direct combinatorial and algebraic arguments, while others stem from a surprising connection between our model and communication complexity. Using this connection, we are also able to give an MA-protocol for the Inner Product function with {$ O(\sqrt {n} \log n) $} communication (essentially matching a lower bound of Klauck).", acknowledgement = ack-nhfb, keywords = "arithmetization; communication complexity; interactive proofs; low-degree polynomials; oracles; query complexity", } @InProceedings{Dvir:2008:HRT, author = "Zeev Dvir and Amir Shpilka and Amir Yehudayoff", title = "Hardness-randomness tradeoffs for bounded depth arithmetic circuits", crossref = "ACM:2008:SPA", pages = "741--748", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374482", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "In this paper we show that lower bounds for bounded depth arithmetic circuits imply derandomization of polynomial identity testing for bounded depth arithmetic circuits. More formally, if there exists an explicit polynomial $ f(x_1, \ldots {}, x_m) $ that cannot be computed by a depth $d$ arithmetic circuit of small size then there exists an efficient deterministic algorithm to test whether a given depth $ d - 8 $ circuit is identically zero or not (assuming the individual degrees of the tested circuit are not too high). In particular, if we are guaranteed that the circuit computes a multilinear polynomial then we can perform the identity test efficiently. To the best of our knowledge this is the first hardness-randomness tradeoff for bounded depth arithmetic circuits. The above results are obtained using the arithmetic Nisan-Wigderson generator of Impagliazzo and Kabanets together with a new theorem on bounded depth circuits, which is the main technical contribution of our work. This theorem deals with polynomial equations of the form {$ P(x_1, \ldots {}, x_n, y) \equiv 0 $} and shows that if {$P$} has a circuit of depth $d$ and size $s$ and if the polynomial $ f(x_1, \ldots {}, x_n) $ satisfies {$ P(x_1, \ldots {}, x_n, f(x_1, \ldots {}, x_n)) \equiv 0 $} then $f$ has a circuit of depth $ d + 3 $ and size {$ O(s \times r + m^r) $}, where $m$ is the degree of $f$ and $r$ is the highest degree of the variable $y$ appearing in {$P$}. In the other direction we observe that the methods of Impagliazzo and Kabanets imply that if we can derandomize polynomial identity testing for bounded depth circuits then NEXP does not have bounded depth arithmetic circuits. That is, either NEXP $ \not \subset $ P/poly or the Permanent is not computable by polynomial size bounded depth arithmetic circuits.", acknowledgement = ack-nhfb, keywords = "arithmetic circuits; bounded depth circuits; hardness-randomness tradeoffs; identity testing; lower bounds", } @InProceedings{Choi:2008:OQC, author = "Sung-Soon Choi and Jeong Han Kim", title = "Optimal query complexity bounds for finding graphs", crossref = "ACM:2008:SPA", pages = "749--758", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374484", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We consider the problem of finding an unknown graph by using two types of queries with an additive property. Given a graph, an additive query asks the number of edges in a set of vertices while a cross-additive query asks the number of edges crossing between two disjoint sets of vertices. The queries ask sum of weights for the weighted graphs. These types of queries were partially motivated in DNA shotgun sequencing and linkage discovery problem of artificial intelligence.\par For a given unknown weighted graph {$G$} with $n$ vertices, $m$ edges, and a certain mild condition on weights, we prove that there exists a non-adaptive algorithm to find the edges of {$G$} using {$ O(m \log n / \log m) $} queries of both types provided that $ m \geq n^{\epsilon } $ for any constant $ \epsilon $ > 0. For an unweighted graph, it is shown that the same bound holds for all range of $m$.\par This settles a conjecture of Grebinski [23] for finding an unweighted graph using additive queries. We also consider the problem of finding the Fourier coefficients of a certain class of pseudo-Boolean functions. A similar coin weighing problem is also considered.", acknowledgement = ack-nhfb, keywords = "coin weighing problem; combinatorial group testing; combinatorial search; Fourier coefficient; graph finding; Littlewood--Offord theorem; pseudo-Boolean function", } @InProceedings{Lau:2008:AAB, author = "Lap Chi Lau and Mohit Singh", title = "Additive approximation for bounded degree survivable network design", crossref = "ACM:2008:SPA", pages = "759--768", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374485", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We study a general network design problem with additional degree constraints. Given connectivity requirements r$_{uv}$ for all pairs of vertices, a Steiner network is a graph in which there are at least r$_{uv}$ edge-disjoint paths between $u$ and $v$ for all pairs of vertices $u$, $v$. In the MINIMUM BOUNDED-DEGREE STEINER NETWORK problem, we are given an undirected graph {$G$} with an edge cost for each edge, a connectivity requirement $ r_{uv} $ for each pair of vertices $u$ and $v$, and a degree upper bound for each vertex $v$. The task is to find a minimum cost Steiner network which satisfies all the degree upper bounds.\par The aim of this paper is to design approximation algorithms that minimize the total cost and the degree violation simultaneously. Our main results are the following:\par There is a polynomial time algorithm which returns a Steiner forest of cost at most 2 OPT and the degree violation at each vertex is at most 3, where OPT is the cost of an optimal solution which satisfies all the degree bounds.\par There is a polynomial time algorithm which returns a Steiner network of cost at most 2 OPT and the degree violation at each vertex is at most $ 6 r_{\rm max} + 3 $, where OPT is the cost of an optimal solution which satisfies all the degree bounds, and $ r_{\rm max} := \max_{u, v} \{ r_{u, v} \} $.\par These results achieve the best known guarantees for both the total cost and the degree violation simultaneously. As corollaries, these results provide the first additive approximation algorithms for finding low degree subgraphs including Steiner forests, $k$-edge-connected subgraphs, and Steiner networks. The algorithms develop on the iterative relaxation method applied to a natural linear programming relaxation as in [10, 16, 22]. The new algorithms avoid paying a multiplicative factor of two on the degree bounds even though the algorithm can only pick edges with fractional value $ 1 / 2 $. This is based on a stronger characterization of the basic so-algorithm is nearly tight.", acknowledgement = ack-nhfb, keywords = "approximation algorithms; bounded degree; iterative rounding; Steiner tree; survivable network design", } @InProceedings{Bansal:2008:AGD, author = "Nikhil Bansal and Rohit Khandekar and Viswanath Nagarajan", title = "Additive guarantees for degree bounded directed network design", crossref = "ACM:2008:SPA", pages = "769--778", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374486", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We present polynomial-time approximation algorithms for some degree-bounded directed network design problems. Our main result is for intersecting supermodular connectivity with degree bounds: given a directed graph {$ G = (V, E) $} with non-negative edge-costs, a connectivity requirement specified by an intersecting supermodular function $f$, and upper bounds $ a_v $, {$ b_v_{v \in V} $} on in-degrees and out-degrees of vertices, find a minimum-cost $f$-connected subgraph of {$G$} that satisfies the degree bounds. We give a bicriteria approximation algorithm that for any $ 0 \leq \epsilon \leq 1 / 2 $, computes an $f$-connected subgraph with in-degrees at most $ \lceil $ a_v / (1 - \epsilon) $ \rceil $ + 4$, o u t - d e g r e e s a t m o s t $ \lceil$ b_v / (1 - \epsilon) $ \rceil$ + 4 $, and cost at most $ 1 / \epsilon $ times the optimum. This includes, as a special case, the minimum-cost degree-bounded arborescence problem. We also obtain similar results for the (more general) class of crossing supermodular requirements. Our result extends and improves the ($ 3 a_v + 4, 3 b_v + 4, 3 $ )-approximation of Lau et al. Setting $ \epsilon = 0 $, our result gives the first purely additive guarantee for the unweighted versions of these problems. Our algorithm is based on rounding an LP relaxation for the problem. We also prove that the above cost-degree trade-off (even for the degree-bounded arborescence problem) is optimal relative to the natural LP relaxation. For every $ 0 < \epsilon < 1 $, we show an instance where any arborescence with out-degrees at most {$ b_v / (1 - \epsilon) + O(1) $} has cost at least $ 1 - o(1) / \epsilon $ times the optimal LP value. For the special case of finding a minimum degree arborescence (without costs), we give a stronger $ + 2 $ additive approximation. This improves on a result of Lau et al. [13] that gives a {$ 2 \Delta * + 2 $} guarantee, and Klein et al. [11] that gives a {$ (1 + \epsilon) \Delta * + O(\log_{1 + \epsilon } n) $} bound, where {$ \Delta * $} is the degree of the optimal arborescence. As a corollary of our result, we (almost) settle a conjecture of Bang-Jensen et al. [1] on low-degree arborescences. Our algorithms use the iterative rounding technique of Jain, which was used by Lau et al. and Singh and Lau in the context of degree-bounded network design. It is however non-trivial to extend these techniques to the directed setting without incurring a multiplicative violation in the degree bounds. This is due to the fact that known polyhedral characterization of arborescences has the cut-constraints which, along with degree-constraints, are unsuitable for arguing the existence of integral variables in a basic feasible solution. We overcome this difficulty by enhancing the iterative rounding steps and by means of stronger counting arguments. Our counting technique is quite general, and it also simplifies the proofs of many previous results. We also apply the technique to undirected graphs. We consider the minimum crossing spanning tree problem: given an undirected edge-weighted graph {$G$}, edge-subsets {$ {E_i}_{i = 1}^k $}, and non-negative integers $ {b_i}_{i = 1}^k $, find a minimum-cost spanning tree (if it exists) in {$G$} that contains at most $ b_i $ edges from each set {$ E_i $}. We obtain a $ + (r - 1) $ additive approximation for this problem, when each edge lies in at most $r$ sets; this considerably improves the result of Bilo et al. A special case of this problem is degree-bounded minimum spanning tree, and our result gives a substantially easier proof of the recent $ + 1 $ approximation of Singh and Lau.", acknowledgement = ack-nhfb, keywords = "approximation algorithms; directed graphs; network design", } @InProceedings{Frieze:2008:LRG, author = "Alan Frieze and Santosh Vempala and Juan Vera", title = "Logconcave random graphs", crossref = "ACM:2008:SPA", pages = "779--788", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374487", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We propose the following model of a random graph on $n$ vertices. Let {$F$} be a distribution in {$ R_+^{n(n - 1) / 2} $} with a coordinate for every pair $ i, j $ with $ 1 \leq i, j \leq n $. Then {$ G_{F, p} $} is the distribution on graphs with $n$ vertices obtained by picking a random point {$X$} from {$F$} and defining a graph on $n$ vertices whose edges are pairs $ i, j $ for which {$ X_{i, j} \leq p $}. The standard Erd{\H{o}}s--R{\'e}nyi model is the special case when {$F$} is uniform on the $0$--$1$ unit cube. We determine basic properties such as the connectivity threshold for quite general distributions. We also consider cases where the {$ X_{i, j} $} are the edge weights in some random instance of a combinatorial optimization problem. By choosing suitable distributions, we can capture random graphs with interesting properties such as triangle-free random graphs and weighted random graphs with bounded total weight.", acknowledgement = ack-nhfb, keywords = "random graphs", } @InProceedings{Barto:2008:GPC, author = "Libor Barto and Marcin Kozik and Todd Niven", title = "Graphs, polymorphisms and the complexity of homomorphism problems", crossref = "ACM:2008:SPA", pages = "789--796", year = "2008", DOI = "http://doi.acm.org/10.1145/1374376.1374488", bibdate = "Fri Jun 20 18:31:53 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", abstract = "We use a connection between polymorphisms and the structure of smooth digraphs to prove the conjecture of Bang-Jensen and Hell from 1990 and, as a consequence, a conjecture of Bang-Jensen, Hell and MacGillivray from 1995. The conjectured characterization of computationally complex coloring problems for smooth digraphs is proved using tools of universal algebra. We cite further graph results obtained using this new approach. The proofs are based in an universal algebraic framework developed for the Constraint Satisfaction Problem and the CSP dichotomy conjecture of Feder and Vardi in particular.", acknowledgement = ack-nhfb, keywords = "computational complexity; constraint satisfaction problem; graph homomorphism; polymorphism; universal algebra", } @InProceedings{Wigderson:2009:WLV, author = "Avi Wigderson", title = "The work of {Leslie Valiant}", crossref = "ACM:2009:SPA", pages = "1--2", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Arora:2009:MPA, author = "Sanjeev Arora and Constantinos Daskalakis and David Steurer", title = "Message passing algorithms and improved {LP} decoding", crossref = "ACM:2009:SPA", pages = "3--12", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gopalan:2009:LDT, author = "Parikshit Gopalan and Venkatesan Guruswami and Prasad Raghavendra", title = "List decoding tensor products and interleaved codes", crossref = "ACM:2009:SPA", pages = "13--22", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Guruswami:2009:AAC, author = "Venkatesan Guruswami", title = "Artin automorphisms, cyclotomic function fields, and folded list-decodable codes", crossref = "ACM:2009:SPA", pages = "23--32", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cheng:2009:DRG, author = "Qi Cheng and Daqing Wan", title = "A deterministic reduction for the gap minimum distance problem: [extended abstract]", crossref = "ACM:2009:SPA", pages = "33--38", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Efremenko:2009:QLD, author = "Klim Efremenko", title = "3-query locally decodable codes of subexponential length", crossref = "ACM:2009:SPA", pages = "39--44", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Sellie:2009:ELR, author = "Linda Sellie", title = "Exact learning of random {DNF} over the uniform distribution", crossref = "ACM:2009:SPA", pages = "45--54", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Babai:2009:PTT, author = "L{\'a}szl{\'o} Babai and Robert Beals and {\'A}kos Seress", title = "Polynomial-time theory of matrix groups", crossref = "ACM:2009:SPA", pages = "55--64", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ben-Sasson:2009:ADS, author = "Eli Ben-Sasson and Swastik Kopparty", title = "Affine dispersers from subspace polynomials", crossref = "ACM:2009:SPA", pages = "65--74", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Daskalakis:2009:OPN, author = "Constantinos Daskalakis and Christos H. Papadimitriou", title = "On oblivious {PTAS}'s for {Nash} equilibrium", crossref = "ACM:2009:SPA", pages = "75--84", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gafni:2009:EBS, author = "Eli Gafni", title = "The extended {BG}-simulation and the characterization of $t$-resiliency", crossref = "ACM:2009:SPA", pages = "85--92", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cardinal:2009:EAP, author = "Jean Cardinal and Samuel Fiorini and Gwena{\"e}l Joret and Rapha{\"e}l M. Jungers and J. Ian Munro", title = "An efficient algorithm for partial order production", crossref = "ACM:2009:SPA", pages = "93--100", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Bernstein:2009:NOO, author = "Aaron Bernstein and David Karger", title = "A nearly optimal oracle for avoiding failed vertices and edges", crossref = "ACM:2009:SPA", pages = "101--110", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Barenboim:2009:DCL, author = "Leonid Barenboim and Michael Elkin", title = "Distributed $ (\delta + 1) $-coloring in linear (in $ \delta $ ) time", crossref = "ACM:2009:SPA", pages = "111--120", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Friedrich:2009:NPL, author = "Tobias Friedrich and Thomas Sauerwald", title = "Near-perfect load balancing by randomized rounding", crossref = "ACM:2009:SPA", pages = "121--130", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Impagliazzo:2009:NDP, author = "Russell Impagliazzo and Valentine Kabanets and Avi Wigderson", title = "New direct-product testers and 2-query {PCPs}", crossref = "ACM:2009:SPA", pages = "131--140", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Goldreich:2009:POT, author = "Oded Goldreich and Dana Ron", title = "On proximity oblivious testing", crossref = "ACM:2009:SPA", pages = "141--150", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Blais:2009:TJN, author = "Eric Blais", title = "Testing juntas nearly optimally", crossref = "ACM:2009:SPA", pages = "151--158", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Shapira:2009:GCT, author = "Asaf Shapira", title = "{Green}'s conjecture and testing linear-invariant properties", crossref = "ACM:2009:SPA", pages = "159--166", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Goldwasser:2009:ALC, author = "Shafi Goldwasser", title = "{Athena} lecture: Controlling Access to Programs?", crossref = "ACM:2009:SPA", pages = "167--168", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gentry:2009:FHE, author = "Craig Gentry", title = "Fully homomorphic encryption using ideal lattices", crossref = "ACM:2009:SPA", pages = "169--178", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Lin:2009:UFC, author = "Huijia Lin and Rafael Pass and Muthuramakrishnan Venkitasubramaniam", title = "A unified framework for concurrent security: universal composability from stand-alone non-malleability", crossref = "ACM:2009:SPA", pages = "179--188", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Lin:2009:NMA, author = "Huijia Lin and Rafael Pass", title = "Non-malleability amplification", crossref = "ACM:2009:SPA", pages = "189--198", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Andoni:2009:AED, author = "Alexandr Andoni and Krzysztof Onak", title = "Approximating edit distance in near-linear time", crossref = "ACM:2009:SPA", pages = "199--204", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Clarkson:2009:NLA, author = "Kenneth L. Clarkson and David P. Woodruff", title = "Numerical linear algebra in the streaming model", crossref = "ACM:2009:SPA", pages = "205--214", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Nguyen:2009:FEA, author = "Nam H. Nguyen and Thong T. Do and Trac D. Tran", title = "A fast and efficient algorithm for low-rank approximation of a matrix", crossref = "ACM:2009:SPA", pages = "215--224", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Yoshida:2009:ICT, author = "Yuichi Yoshida and Masaki Yamamoto and Hiro Ito", title = "An improved constant-time approximation algorithm for maximum matchings", crossref = "ACM:2009:SPA", pages = "225--234", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Andersen:2009:FSC, author = "Reid Andersen and Yuval Peres", title = "Finding sparse cuts locally using evolving sets", crossref = "ACM:2009:SPA", pages = "235--244", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Lee:2009:GGF, author = "James R. Lee and Anastasios Sidiropoulos", title = "On the geometry of graphs with a forbidden minor", crossref = "ACM:2009:SPA", pages = "245--254", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Batson:2009:TRS, author = "Joshua D. Batson and Daniel A. Spielman and Nikhil Srivastava", title = "Twice-{Ramanujan} sparsifiers", crossref = "ACM:2009:SPA", pages = "255--262", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Trevisan:2009:MCS, author = "Luca Trevisan", title = "Max cut and the smallest eigenvalue", crossref = "ACM:2009:SPA", pages = "263--272", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chambers:2009:HFC, author = "Erin W. Chambers and Jeff Erickson and Amir Nayyeri", title = "Homology flows, cohomology cuts", crossref = "ACM:2009:SPA", pages = "273--282", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Charikar:2009:IGS, author = "Moses Charikar and Konstantin Makarychev and Yury Makarychev", title = "Integrality gaps for {Sherali--Adams} relaxations", crossref = "ACM:2009:SPA", pages = "283--292", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Mathieu:2009:SAR, author = "Claire Mathieu and Alistair Sinclair", title = "{Sherali--Adams} relaxations of the matching polytope", crossref = "ACM:2009:SPA", pages = "293--302", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Tulsiani:2009:CGR, author = "Madhur Tulsiani", title = "{CSP} gaps and reductions in the {Lasserre} hierarchy", crossref = "ACM:2009:SPA", pages = "303--312", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Karpinski:2009:LTA, author = "Marek Karpinski and Warren Schudy", title = "Linear time approximation schemes for the {Gale--Berlekamp} game and related minimization problems", crossref = "ACM:2009:SPA", pages = "313--322", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Lee:2009:NMS, author = "Jon Lee and Vahab S. Mirrokni and Viswanath Nagarajan and Maxim Sviridenko", title = "Non-monotone submodular maximization under matroid and knapsack constraints", crossref = "ACM:2009:SPA", pages = "323--332", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Peikert:2009:PKC, author = "Chris Peikert", title = "Public-key cryptosystems from the worst-case shortest vector problem: extended abstract", crossref = "ACM:2009:SPA", pages = "333--342", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Moser:2009:CPL, author = "Robin A. Moser", title = "A constructive proof of the {Lov{\'a}sz} local lemma", crossref = "ACM:2009:SPA", pages = "343--350", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ghosh:2009:UUM, author = "Arpita Ghosh and Tim Roughgarden and Mukund Sundararajan", title = "Universally utility-maximizing privacy mechanisms", crossref = "ACM:2009:SPA", pages = "351--360", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Feldman:2009:PC, author = "Dan Feldman and Amos Fiat and Haim Kaplan and Kobbi Nissim", title = "Private coresets", crossref = "ACM:2009:SPA", pages = "361--370", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dwork:2009:DPR, author = "Cynthia Dwork and Jing Lei", title = "Differential privacy and robust statistics", crossref = "ACM:2009:SPA", pages = "371--380", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dwork:2009:CDP, author = "Cynthia Dwork and Moni Naor and Omer Reingold and Guy N. Rothblum and Salil Vadhan", title = "On the complexity of differentially private data release: efficient algorithms and hardness results", crossref = "ACM:2009:SPA", pages = "381--390", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Liu:2009:QAU, author = "Yi-Kai Liu", title = "Quantum algorithms using the curvelet transform", crossref = "ACM:2009:SPA", pages = "391--400", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Ta-Shma:2009:SSE, author = "Amnon Ta-Shma", title = "Short seed extractors against quantum storage", crossref = "ACM:2009:SPA", pages = "401--408", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cleve:2009:EDT, author = "Richard Cleve and Daniel Gottesman and Michele Mosca and Rolando D. Somma and David Yonge-Mallo", title = "Efficient discrete-time simulations of continuous-time quantum query algorithms", crossref = "ACM:2009:SPA", pages = "409--416", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Aharonov:2009:DLQ, author = "Dorit Aharonov and Itai Arad and Zeph Landau and Umesh Vazirani", title = "The detectability lemma and quantum gap amplification", crossref = "ACM:2009:SPA", pages = "417--426", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Lattanzi:2009:AN, author = "Silvio Lattanzi and D. Sivakumar", title = "Affiliation networks", crossref = "ACM:2009:SPA", pages = "427--434", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chechik:2009:FTS, author = "S. Chechik and M. Langberg and David Peleg and L. Roditty", title = "Fault-tolerant spanners for general graphs", crossref = "ACM:2009:SPA", pages = "435--444", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kawarabayashi:2009:HCD, author = "Ken-ichi Kawarabayashi and Bruce Reed", title = "{Hadwiger}'s conjecture is decidable", crossref = "ACM:2009:SPA", pages = "445--454", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Vassilevska:2009:FMC, author = "Virginia Vassilevska and Ryan Williams", title = "Finding, minimizing, and counting weighted subgraphs", crossref = "ACM:2009:SPA", pages = "455--464", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kushilevitz:2009:CCC, author = "Eyal Kushilevitz and Enav Weinreb", title = "On the complexity of communication complexity", crossref = "ACM:2009:SPA", pages = "465--474", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Viola:2009:BPL, author = "Emanuele Viola", title = "Bit-probe lower bounds for succinct data structures", crossref = "ACM:2009:SPA", pages = "475--482", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Austrin:2009:RSI, author = "Per Austrin and Johan H{\aa}stad", title = "Randomly supported independence and resistance", crossref = "ACM:2009:SPA", pages = "483--492", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{ODonnell:2009:CHS, author = "Ryan O'Donnell and Yi Wu", title = "Conditional hardness for satisfiable {3-CSPs}", crossref = "ACM:2009:SPA", pages = "493--502", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; 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http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Dodis:2009:CAI, author = "Yevgeniy Dodis and Yael Tauman Kalai and Shachar Lovett", title = "On cryptography with auxiliary input", crossref = "ACM:2009:SPA", pages = "621--630", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Chalopin:2009:EPG, author = "J{\'e}r{\'e}mie Chalopin and Daniel Gon{\c{c}}alves", title = "Every planar graph is the intersection graph of segments in the plane: extended abstract", crossref = "ACM:2009:SPA", pages = "631--638", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Aronov:2009:SSN, author = "Boris Aronov and Esther Ezra and Micha Shair", title = "Small-size $ \epsilon $-nets for axis-parallel rectangles and boxes", crossref = "ACM:2009:SPA", pages = "639--648", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; 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Chadha and Naveen Garg and Amit Kumar and V. N. Muralidhara", title = "A competitive algorithm for minimizing weighted flow time on unrelatedmachines with speed augmentation", crossref = "ACM:2009:SPA", pages = "679--684", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Gupta:2009:OSS, author = "Anupam Gupta and Ravishankar Krishnaswamy and R. Ravi", title = "Online and stochastic survivable network design", crossref = "ACM:2009:SPA", pages = "685--694", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Impagliazzo:2009:AAA, author = "Russell Impagliazzo and Valentine Kabanets and Antonina Kolokolova", title = "An axiomatic approach to algebrization", crossref = "ACM:2009:SPA", pages = "695--704", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kolaitis:2009:RGP, author = "Phokion G. Kolaitis and Swastik Kopparty", title = "Random graphs and the parity quantifier", crossref = "ACM:2009:SPA", pages = "705--714", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Cai:2009:HPC, author = "Jin-Yi Cai and Pinyan Lu and Mingji Xia", title = "{Holant} problems and counting {CSP}", crossref = "ACM:2009:SPA", pages = "715--724", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Kun:2009:NLA, author = "G{\'a}bor Kun and Mario Szegedy", title = "A new line of attack on the dichotomy conjecture", crossref = "ACM:2009:SPA", pages = "725--734", year = "2009", bibdate = "Wed Sep 1 10:42:23 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", acknowledgement = ack-nhfb, } @InProceedings{Akavia:2010:EBO, author = "Adi Akavia and Oded Goldreich and Shafi Goldwasser and Dana Moshkovitz", title = "Erratum for: {{\em On basing one-way functions on NP-hardness}}", crossref = "ACM:2010:PAI", pages = "795--796", year = "2010", bibdate = "Wed Sep 1 10:42:57 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", note = "See \cite{Akavia:2006:BOW}.", acknowledgement = ack-nhfb, } %%% ==================================================================== %%% Cross-referenced entries must come last: @Proceedings{ACM:2000:PTS, editor = "{ACM}", booktitle = "{Proceedings of the Thirty Second Annual ACM Symposium on Theory of Computing: Portland, Oregon, May 21--23, [2000]}", title = "{Proceedings of the Thirty Second Annual ACM Symposium on Theory of Computing: Portland, Oregon, May 21--23, [2000]}", publisher = pub-ACM, address = pub-ACM:adr, pages = "ix + 756", year = "2000", ISBN = "1-58113-184-4", ISBN-13 = "978-1-58113-184-0", bibdate = "Sat Oct 28 16:10:32 MDT 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", note = "ACM order number 508000.", acknowledgement = ack-nhfb, keywords = "computational complexity; computer programming; congresses; electronic data processing; electronic digital computers; online resources", } @Proceedings{ACM:2001:PAA, editor = "{ACM}", booktitle = "{Proceedings of the 33rd Annual ACM Symposium on Theory of Computing: Hersonissos, Crete, Greece, July 6--8, 2001}", title = "{Proceedings of the 33rd Annual ACM Symposium on Theory of Computing: Hersonissos, Crete, Greece, July 6--8, 2001}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xii + 757", year = "2001", ISBN = "1-58113-349-9", ISBN-13 = "978-1-58113-349-3", LCCN = "QA76.6 .A13 2001", bibdate = "Wed Feb 20 17:51:33 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", note = "ACM order number 508010.", acknowledgement = ack-nhfb, } @Proceedings{ACM:2002:PTF, editor = "{ACM}", booktitle = "{Proceedings of the Thiry-Fourth Annual ACM Symposium on Theory of Computing, Montr{\'e}al, Qu{\'e}bec, Canada, May 19--21, 2002}", title = "{Proceedings of the Thiry-Fourth Annual ACM Symposium on Theory of Computing, Montr{\'e}al, Qu{\'e}bec, Canada, May 19--21, 2002}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xv + 824", year = "2002", ISBN = "1-58113-495-9", ISBN-13 = "978-1-58113-495-7", LCCN = "QA75.5 .A22 2002", bibdate = "Tue Jan 13 06:29:11 2004", bibsource = "http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", note = "ACM order number 508020.", acknowledgement = ack-nhfb, } @Proceedings{ACM:2003:PTF, editor = "{ACM}", booktitle = "{Proceedings of the Thirty-Fifth ACM Symposium on Theory of Computing, San Diego, CA, USA, June 9--11, 2003}", title = "{Proceedings of the Thirty-Fifth ACM Symposium on Theory of Computing, San Diego, CA, USA, June 9--11, 2003}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xii + 728", year = "2003", ISBN = "1-58113-674-9", ISBN-13 = "978-1-58113-674-6", LCCN = "QA75.5 .A22 2003", bibdate = "Tue Jan 13 06:29:11 2004", bibsource = "http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", note = "ACM order number 508030.", acknowledgement = ack-nhfb, } @Proceedings{ACM:2004:PAA, editor = "ACM", booktitle = "{Proceedings of the 36th Annual ACM Symposium on the Theory of Computing: Chicago, Illinois, USA, June 13--15, 2004}", title = "{Proceedings of the 36th Annual ACM Symposium on the Theory of Computing: Chicago, Illinois, USA, June 13--15, 2004}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xvii + 646", year = "2004", ISBN = "1-58113-852-0", ISBN-13 = "978-1-58113-852-8", LCCN = "QA75.5 .A22 2004", bibdate = "Wed Apr 5 06:05:06 MDT 2006", bibsource = "http://www.math.utah.edu/pub/tex/bib/stoc2000.bib; melvyl.cdlib.org:210/CDL90", acknowledgement = ack-nhfb, meetingname = "ACM Symposium on Theory of Computing (36th: 2004: Chicago, Ill.)", remark = "ACM order number 508040.", subject = "Electronic digital computers; Congresses; Computer programming; Computational complexity; Electronic data processing", } @Proceedings{ACM:2005:SPA, editor = "{ACM}", booktitle = "{STOC '05: proceedings of the 37th Annual ACM Symposium on Theory of Computing: Baltimore, Maryland, USA, May 22--24, 2005}", title = "{STOC '05: proceedings of the 37th Annual ACM Symposium on Theory of Computing: Baltimore, Maryland, USA, May 22--24, 2005}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xiv + 770", year = "2005", ISBN = "1-58113-960-8", ISBN-13 = "978-1-58113-960-0", LCCN = "QA75.5 A22 2005", bibdate = "Wed Apr 5 05:53:41 MDT 2006", bibsource = "http://www.math.utah.edu/pub/tex/bib/stoc2000.bib; melvyl.cdlib.org:210/CDL90", acknowledgement = ack-nhfb, meetingname = "ACM Symposium on Theory of Computing (37th: 2005: Baltimore, MD)", remark = "ACM order number 508050.", subject = "Electronic digital computers; Congresses; Electronic data processing; Computer programming; Computational complexity", } @Proceedings{ACM:2006:PTE, editor = "{ACM}", booktitle = "{Proceedings of the Thirty-Eighth Annual ACM Symposium on Theory of Computing 2006, Seattle, WA, USA, May 21--23, 2006}", title = "{Proceedings of the Thirty-Eighth Annual ACM Symposium on Theory of Computing 2006, Seattle, WA, USA, May 21--23, 2006}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xiv + 768", year = "2006", ISBN = "1-59593-134-1", ISBN-13 = "978-1-59593-134-4", LCCN = "QA75.5 .A22 2006", bibdate = "Thu May 25 06:13:58 2006", bibsource = "http://www.math.utah.edu/pub/tex/bib/stoc2000.bib", note = "ACM order number 508060.", URL = "http://portal.acm.org/citation.cfm?id=1132516", acknowledgement = ack-nhfb, } @Proceedings{ACM:2007:SPA, editor = "{ACM}", booktitle = "{STOC '07: proceedings of the 39th Annual ACM Symposium on Theory of Computing, San Diego, California, USA, June 11--13, 2007}", title = "{STOC '07: proceedings of the 39th Annual ACM Symposium on Theory of Computing, San Diego, California, USA, June 11--13, 2007}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xv + 718", year = "2007", ISBN = "1-59593-631-9", ISBN-13 = "978-1-59593-631-8", LCCN = "QA75.5 .A22 2007", bibdate = "Fri Jun 20 18:35:01 MDT 2008", bibsource = "http://www.math.utah.edu/pub/tex/bib/stoc2000.bib; z3950.bibsys.no:2100/BIBSYS", acknowledgement = ack-nhfb, } @Proceedings{ACM:2008:SPA, editor = "{ACM}", booktitle = "{STOC '08: proceedings of the 40th Annual ACM Symposium on Theory of Computing, Victoria, British Columbia, Canada, May 17--20, 2008}", title = "{STOC '08: proceedings of the 40th Annual ACM Symposium on Theory of Computing, Victoria, British Columbia, Canada, May 17--20, 2008}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xv + 798", year = "2008", ISBN = "1-60558-047-3", ISBN-13 = "978-1-60558-047-0", LCCN = "QA76.6 .A152 2008", bibdate = "Fri Jun 20 18:35:01 MDT 2008", bibsource = "http://www.math.utah.edu/pub/tex/bib/stoc2000.bib; z3950.bibsys.no:2100/BIBSYS", acknowledgement = ack-nhfb, } @Proceedings{ACM:2009:SPA, editor = "{ACM}", booktitle = "{STOC '09: proceedings of the 2009 ACM International Symposium on Theory of Computing, Bethesda, Maryland, USA, May 31--June 2, 2009}", title = "{STOC '09: proceedings of the 2009 ACM International Symposium on Theory of Computing, Bethesda, Maryland, USA, May 31--June 2, 2009}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xiii + 736", year = "2009", ISBN = "1-60558-613-7", ISBN-13 = "978-1-60558-613-7", LCCN = "QA75.5 .A22 2009", bibdate = "Wed Sep 1 10:36:45 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/stoc2000.bib; z3950.bibsys.no:2100/BIBSYS", acknowledgement = ack-nhfb, remark = "41st annual STOC meeting.", } @Proceedings{ACM:2010:PAI, editor = "{ACM}", booktitle = "{Proceedings of the 2010 ACM International Symposium on Theory of Computing: June 5--8, 2010, Cambridge, MA, USA}", title = "{Proceedings of the 2010 ACM International Symposium on Theory of Computing: June 5--8, 2010, Cambridge, MA, USA}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xiv + 797", year = "2010", ISBN = "1-60558-817-2", ISBN-13 = "978-1-60558-817-9", LCCN = "QA 76.6 .A152 2010", bibdate = "Wed Sep 1 10:37:53 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/stoc2000.bib; z3950.gbv.de:20011/gvk", URL = "http://www.gbv.de/dms/tib-ub-hannover/63314455x.", acknowledgement = ack-nhfb, remark = "42nd annual STOC meeting.", }