18th IEEE Annual Conference on Computational Complexity, 2003. Proceedings. (2003)

Aarhus, Denmark

July 7, 2003 to July 10, 2003

ISSN: 1093-0159

ISBN: 0-7695-1879-6

pp: 107

Xiaodong Sun , Institute for Advanced Study

Subhash Khot , Princeton University

Xiaodong Sun , Institute for Advanced Study

ABSTRACT

We study the communication complexity of the set disjointness problem in the general multi-party model. For t players, each holding a subset of a universe of size n, we establish a near-optimal lower bound of \Omega (n=(t log t)) on the communication complexity of the problem of determining whether their sets are disjoint. In the more restrictive one-way communication model, in which the players are required to speak in a predetermined order, we improve our bound to an optimal \Omega (n/t). These results improve upon the earlier bounds of \Omega (n/t<sup>2</sup>) in the general model, and \Omega \left( {E^2 n/t^{1 + E} } \right) in the one-way model, due to Bar-Yossef, Jayram, Kumar, and Sivakumar [5]. As in the case of earlier results, our bounds apply to the unique intersection promise problem.

INDEX TERMS

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CITATION

S. Khot, X. Sun, X. Sun, S. Khot and A. Chakrabarti, "Near-Optimal Lower Bounds on the Multi-Party Communication Complexity of Set Disjointness,"

*18th IEEE Annual Conference on Computational Complexity, 2003. Proceedings.(CCC)*, Aarhus, Denmark, 2003, pp. 107.

doi:10.1109/CCC.2003.1214414

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