|
ABSTRACT
Many different types of inter-process communication have been examined from a complexity point of view [SP, Y]. We study a new model, in which a collection of processes P0, ..., Pk−1 that share information about a set of integers {a0, ...,ak−1}, communicate to determine a 0-1 predicate of the numbers. In this new model, tremendous sharing of information is allowed, while no single party is given enough information to determine the predicate on its own. Formally, each Pi has access to every aj except for ai. For simplicity, we only allow the parties to communicate as follows.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
| |
1
|
A. Borodin, M. Fischer, D. Kirkpatrick, N. Lynch, M. Tompa, "A time-space tradeoff for sorting and related non-oblivious computations." Toronto, Dept. of Computer Science, Technical Report 79-01-01, 1979.
|
| |
2
|
A. Borodin, D. Dolev, F. Fich, W. Paul, "Bounds for width-2 branching programs." These proceedings.
|
| |
3
|
P. Erdös and R. Graham, Old and New Problems and Results in Combinatorial Number Theory. L'Enseignement Mathématique, Université de Genève, 1980.
|
| |
4
|
M. Furst, J. Saxe, M. Sipser, "Parity, circuits and the polynomial-time hierarchy." 22ndSymposium on the Foundations of Computer Science, 1981, pp. 260-270; To appear in Mathematical Systems Theory.
|
| |
5
|
R. Graham, Rudiments of Ramsey theory. Regional Conference Series in Mathematics, number 45, 1981.
|
| |
6
|
R. Graham, B. Rothschild, J. Spencer, Ramsey Theory. Wiley-Interscience, 1980, p. 38.
|
 |
7
|
|
| |
8
|
K. Roth, "On certain sets of integers." J. London Math. Soc., 29, 1954, pp. 20-26.
|
 |
9
|
|
 |
10
|
|
 |
11
|
|
CITED BY 22
|
|
|
|
|
|
|
|
László Babai , Thomas P. Hayes , Peter G. Kimmel, The cost of the missing bit: communication complexity with help, Proceedings of the thirtieth annual ACM symposium on Theory of computing, p.673-682, May 24-26, 1998, Dallas, Texas, United States
|
|
|
|
|
|
M Ajtai , L Babai , P Hajnal , J Komlos , P Pudlak, Two lower bounds for branching programs, Proceedings of the eighteenth annual ACM symposium on Theory of computing, p.30-38, May 28-30, 1986, Berkeley, California, United States
|
|
|
|
|
|
|
|
|
|
|
|
Paul Beame , Erik Vee, Time-space tradeoffs, multiparty communication complexity, and nearest-neighbor problems, Proceedings of the thiry-fourth annual ACM symposium on Theory of computing, May 19-21, 2002, Montreal, Quebec, Canada
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Virginia Vassilevska , Ryan Williams, Finding, minimizing, and counting weighted subgraphs, Proceedings of the 41st annual ACM symposium on Theory of computing, May 31-June 02, 2009, Bethesda, MD, USA
|
|
|
|
|