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The linear-array conjecture in communication complexity is false

Published: 01 July 1996 Publication History
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References

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A. Aho, J. Ullman, and M. Yannakakis, "On Notions of Information Transfer in VLSI Circuits", Proc. of 15th STOC, pp. 133-139, 1983.
[2]
P. Duris, Z. Gall1, and G. Schnitger, "Lower Bounds on Communication Complexity'', Information and Computation, Vol. 73, No. 1, pp. 1-22, 1987. (Early version in Proc. of 16th STOC, pp. 81-91, 1984.)
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P. Frankl, and R. M. Wilson, "Intersection Theorems with Geometric Consequences", Combinatorica, Vol. 1, pp. 357- 368, 1981.
[4]
M. Karchmer, E. Kushilevitz, and N. Nisan, "Fractional Covers and Communication Complexity", SIAM J. Discrete Math., Vol. 8, No. 1, pp. 76-92, 1995. (Early version in 7th IEEE Structure in Complexity Theory, pp. 262-274, 1992.)
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R. J. Lipton, and R. Sedgewick, "Lower Bounds for VLSI", Proc. of 13th STOC, pp. 300-307. 1981.
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K. Mehlhorn, and E. Schmidt, "Las-Vegas is better than Determinism in VLSI and Distributed Computing", Proc. of ldth STOC, pp. 330-337, 1982.
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N. Nisan, and A. Wigderson, "Rounds in Communication Complexity Revisited", SIAM J. Computing, Vol. 22, No. 1, pp. 211-219, 1993. (Early version in Proc. of 23rd $TOC, pp. 419-429, 1991.)
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N. Nisan, and A. Wigderson, "On Rank vs. Communication Complexity", Combinatorica, Vol 15, No. 4, pp. 557-566, 1995. (Early version in Proc. of 35th FOCS, pp. 831-836, 1994.)
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C. Papadimitriou, and M. Sipser, "Communication Complexity", JCSS, Vol. 28, No. 2, pp. 260-269, 1984. (Early version in Proc. of 14th STOC, pp. 196-200, 1982.)
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P. Tiwari, "Lower Bounds on Communication Complexity in Distributed Computer Networks", JACM, Vol. 34, No. 4, pp. 921-938, 1987. (Early version in Proc of 25th FOCS, pp. 109-117, 1984.)
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Cited By

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  • (1999)Bit complexity of breaking and achieving symmetry in chains and rings (extended abstract)Proceedings of the thirty-first annual ACM symposium on Theory of Computing10.1145/301250.301314(265-274)Online publication date: 1-May-1999
  • (1997)The linear-array problem in communication complexity resolvedProceedings of the twenty-ninth annual ACM symposium on Theory of computing10.1145/258533.258622(373-382)Online publication date: 4-May-1997
  • (1997)Communication Complexity10.1016/S0065-2458(08)60342-3(331-360)Online publication date: 1997

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  1. The linear-array conjecture in communication complexity is false

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    cover image ACM Conferences
    STOC '96: Proceedings of the twenty-eighth annual ACM symposium on Theory of Computing
    July 1996
    661 pages
    ISBN:0897917855
    DOI:10.1145/237814
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    Published: 01 July 1996

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    View all
    • (1999)Bit complexity of breaking and achieving symmetry in chains and rings (extended abstract)Proceedings of the thirty-first annual ACM symposium on Theory of Computing10.1145/301250.301314(265-274)Online publication date: 1-May-1999
    • (1997)The linear-array problem in communication complexity resolvedProceedings of the twenty-ninth annual ACM symposium on Theory of computing10.1145/258533.258622(373-382)Online publication date: 4-May-1997
    • (1997)Communication Complexity10.1016/S0065-2458(08)60342-3(331-360)Online publication date: 1997

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