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

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

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

14 Scopus citations

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.

Original languageEnglish
Pages (from-to)52-66
Number of pages15
JournalProceedings of the Annual IEEE Conference on Computational Complexity
StatePublished - 2005
Externally publishedYes
Event20th Annual IEEE Conference on Computational Complexity - San Jose, CA, United States
Duration: 11 Jun 200515 Jun 2005

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