Near-Optimal Lower Bounds on the Multi-Party Communication Complexity of Set Disjointness

  title={Near-Optimal Lower Bounds on the Multi-Party Communication Complexity of Set Disjointness},
  author={Amit Chakrabarti and Subhash Khot and Xiaodong Sun},
  booktitle={IEEE Conference on Computational Complexity},
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 sizen, we establish a near-optimal lower bound of Ω(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 optimalΩ(n/t). These results… CONTINUE READING
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Publications referenced by this paper.
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The probabilistic communication complexity of disjointness of k-sets is O(k)

  • J. Håstad, A. Wigderson
  • Unpublished manuscript,
  • 1990
Highly Influential
5 Excerpts

Communication complexity. Technical Report TR-2001-09

  • L. Babai
  • University of Chicago,
  • 2001
1 Excerpt

Nisan.Communication Complexity

  • N. E. Kushilevitz
  • 1997
1 Excerpt

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