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Half-Duplex Communication Complexity

Authors Kenneth Hoover, Russell Impagliazzo, Ivan Mihajlin, Alexander V. Smal



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Author Details

Kenneth Hoover
  • University of California San Diego, USA
Russell Impagliazzo
  • University of California San Diego, USA
Ivan Mihajlin
  • University of California San Diego, USA
Alexander V. Smal
  • St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, Russia

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Kenneth Hoover, Russell Impagliazzo, Ivan Mihajlin, and Alexander V. Smal. Half-Duplex Communication Complexity. In 29th International Symposium on Algorithms and Computation (ISAAC 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 123, pp. 10:1-10:12, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2018)
https://doi.org/10.4230/LIPIcs.ISAAC.2018.10

Abstract

Suppose Alice and Bob are communicating in order to compute some function f, but instead of a classical communication channel they have a pair of walkie-talkie devices. They can use some classical communication protocol for f where in each round one player sends a bit and the other one receives it. The question is whether talking via walkie-talkie gives them more power? Using walkie-talkies instead of a classical communication channel allows players two extra possibilities: to speak simultaneously (but in this case they do not hear each other) and to listen at the same time (but in this case they do not transfer any bits). The motivation for this kind of a communication model comes from the study of the KRW conjecture. We show that for some definitions this non-classical communication model is, in fact, more powerful than the classical one as it allows to compute some functions in a smaller number of rounds. We also prove lower bounds for these models using both combinatorial and information theoretic methods.

Subject Classification

ACM Subject Classification
  • Theory of computation → Communication complexity
Keywords
  • communication complexity
  • half-duplex channel
  • information theory

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