• DocumentCode
    3379436
  • Title

    A direct sum theorem for corruption and the multiparty NOF communication complexity of set disjointness

  • Author

    Beame, Paul ; Pitassi, Toniann ; Segerlind, Nathan ; Wigderson, Avi

  • Author_Institution
    Washington Univ., Seattle, WA, USA
  • fYear
    2005
  • fDate
    11-15 June 2005
  • Firstpage
    52
  • Lastpage
    66
  • Abstract
    We prove that corruption, one of the most powerful measures used to analyze 2-party randomized communication complexity, satisfies a strong direct sum property under rectangular distributions. This direct sum bound holds even when the error is allowed to be exponentially close to 1. We use this to analyze the complexity of the widely-studied set disjointness problem in the usual "number-on-the-forehead" (NOF) model of multiparty communication complexity.
  • Keywords
    communication complexity; randomised algorithms; set theory; 2-party randomized communication complexity; direct sum bound; direct sum property; direct sum theorem; multiparty NOF communication complexity; number-on-the-forehead model; rectangular distribution; set disjointness problem; Broadcasting; Complexity theory; Computational complexity; Forehead; Frequency; Protocols;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Complexity, 2005. Proceedings. Twentieth Annual IEEE Conference on
  • ISSN
    1093-0159
  • Print_ISBN
    0-7695-2364-1
  • Type

    conf

  • DOI
    10.1109/CCC.2005.1
  • Filename
    1443073