Rounds in communication complexity revisited

Noam Nisan*, Avi Wigderson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

99 Scopus citations


The k-round two-party communication complexity was studied in the deterministic model by [P. H. Papadimitriou and M. Sipser, Proc. of the 14th STOC, 1982, pp. 330-337] and [P. Duris, Z. Galil, and G. Schnitger, Proc. of the 16th STOC, 1984, pp. 81-91] and in the probabilistic model by [A. C. Yao, Proc. of the 24th FOCS, 1983, pp. 420-428] and [B. Halstenberg and R. Reischuk, Proc. of the 20th STOC, 1988, pp. 162-172]. This paper presents new lower bounds that give (1) randomization is more is more powerful than determinism in k-round protocols, and (2) an explicit function which exhibits an exponential gap between its k and (k - 1)-round randomized complexity. This paper also studies the three-party communication model, and exhibits an exponential gap in 3-round protocols that differ in the starting player. Finally, this paper shows new connections of these questions to circuit complexity, that motivate further work in this direction.

Original languageAmerican English
Pages (from-to)211-219
Number of pages9
JournalSIAM Journal on Computing
Issue number1
StatePublished - 1993


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