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Multiparty Communication Complexity (1989)

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by Danny Dolev , Tomás Feder
Citations:536 - 20 self
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BibTeX

@MISC{Dolev89multipartycommunication,
    author = {Danny Dolev and Tomás Feder},
    title = {Multiparty Communication Complexity},
    year = {1989}
}

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Abstract

A given Boolean function has its input distributed among many parties. The aim is to determine which parties to tMk to and what information to exchange with each of them in order to evaluate the function while minimizing the total communication. This paper shows that it is possible to obtain the Boolean answer deterministically with only a polynomial increase in communication with respect to the information lower bound given by the nondeterministic communication complexity of the function.

Citations

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443 How to generate and exchange secrets - Yao - 1986
407 Protocols for secure computation - Yao - 1982
366 I.: Multiparty unconditionally secure protocols - Chaum, Crépeau, et al. - 1988
350 How to play any mental game - Goldreich, Micali, et al. - 1987
342 Some complexity questions related to distributive computing - Yao - 1979
178 Another advantage of free choice: completely asynchronous agreement protocols - Ben-Or - 1983
159 Unbiased bits from sources of weak randomness and probabilistic communication complexity - Chor, Goldreich - 1985
88 Lower bounds by probabilistic arguments - YAO - 1983
74 General oracle and oracle classes - Blum, Impagliazzo
71 Optimal Algorithms for Byzantine Agreement - Feldman, Micali - 1988
71 The advantages of free choice: a symmetric and fully distributed solution for the dining philosophers problem”, A classical mind: essays in honour of - Rabin, Lehmann - 1994
67 A zero-one law for Boolean privacy - Chor, Kushilevitz - 1991
51 On recognizing graph properties from adjacency matrices - Rivest, Vuillemin - 1976
51 Probabilistic boolean decision trees and the complexity of evaluating game trees. FOCS - Saks, Wigderson - 1986
34 Las Vegas is better than determinism - Mehlhorn, Schmidt - 1982
32 Lower bounds on communication complexity - Duris, Galil, et al. - 1987
31 An o(log n) expected rounds randomized byzantine generals protocol - Bracha - 1987
30 Lower bounds on probabilistic linear decision trees - Snir - 1985
28 On notions of information transfer in VLSI circuits - Aho, Ullman, et al. - 1983
27 Perfect privacy for two party protocols - Beaver - 1989
26 Geometrical realization of set systems and probabilistic communication complexity - Alon, Frankl, et al.
19 Different Modes of Communication - Halstenberg, Reischuk - 1993
10 Average and randomized communication complexity - Orlitsky, EG - 1990
3 Las-Vegas is better than Determinism - Mehlhorn, Schmidt - 1982
1 Two theorems on random polynomial time - Addman - 1978
1 Lower Bounds on Communication Complexity - Duffs, Gaiil, et al.
1 The Power of Randomness for Communication Complexity - Firer - 1987
1 CREW PRAMs and Decisiou Trees - Nisan - 1989
1 Corn munication Complexity - Papadimitriou, Sipser - 1982
1 Lower bounds on communica.- tion complexi W in distributed computer networks - wxri - 1987
1 Some complexity questions re lated to distributive computing - Yao - 1979
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