A time-randomness tradeoff for communication complexity

  • Rudolf Fleischer
  • Hermann Jung
  • Kurt Mehlhorn
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 486)

Abstract

We present a tight tradeoff between the expected communication complexity \(\bar C\)and the number R of random bits used by any Las Vegas protocol (for a two-processor system) for the list-disjointness function of two lists of n numbers of n bits each. This function evaluates to 1 if and only if the two lists correspond in at least one position. We show a log(n2/\(\bar C\)) lower bound on the number of random bits used by any Las Vegas protocol, Ω(n) ≤ \(\bar C\)O(n2). We also show that expected communication complexity \(\bar C\), Ω(n log n) ≤ \(\bar C\)O(n2), can be achieved using no more than (1+o(1)) log(n2/\(\bar C\)) random bits.

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Rudolf Fleischer
    • 1
  • Hermann Jung
    • 2
  • Kurt Mehlhorn
    • 1
  1. 1.Department of Computer ScienceUniversity of SaarlandSaarbrückenGermany
  2. 2.Department of Computer ScienceHumboldt UniversityBerlinGermany

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