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  • 标题:Inner Product and Set Disjointness: Beyond Logarithmically Many Parties
  • 本地全文:下载
  • 作者:Vladimir Podolskii ; Alexander A. Sherstov
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2017
  • 卷号:2017
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:A basic goal in complexity theory is to understand the communication complexity of number-on-the-forehead problems f : ( 0 1 n ) k 0 1 with k log n parties. We study the problems of inner product and set disjointness and determine their randomized communication complexity for every k log n , showing in both cases that (1 + log n log 1 + k log n ) bits are necessary and sufficient. In particular, these problems admit constant-cost protocols if and only if the number of parties is k n for some constant 0."> 0
  • 关键词:inner product mod 2 ; multiparty communication complexity ; Number-On-Forehead model ; Set disjointness problem
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