TY - JOUR

T1 - Rounds in communication complexity revisited

AU - Nisan, Noam

AU - Wigderson, Avi

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0027543090&partnerID=8YFLogxK

U2 - 10.1137/0222016

DO - 10.1137/0222016

M3 - Article

AN - SCOPUS:0027543090

SN - 0097-5397

VL - 22

SP - 211

EP - 219

JO - SIAM Journal on Computing

JF - SIAM Journal on Computing

IS - 1

ER -