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Volumn , Issue , 2009, Pages 53-62

Multiparty communication complexity and threshold circuit size of AC 0

Author keywords

Communication complexity; Constant depth circuits; Lower bounds

Indexed keywords

COMMUNICATION COMPLEXITY; CONSTANT-DEPTH CIRCUITS; DEPTH 3; DEPTH 4; DISJOINTNESS; LOWER BOUNDS; MULTIPARTY COMMUNICATION COMPLEXITY; NON-TRIVIAL; QUASI-POLY-NOMIAL; THRESHOLD CIRCUITS;

EID: 77952339602     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FOCS.2009.12     Document Type: Conference Paper
Times cited : (19)

References (27)
  • 1
    • 0024766765 scopus 로고
    • A note on the power of threshold circuits
    • Research Triangle Park, NC: IEEE, Oct.
    • E. W. Allender, "A note on the power of threshold circuits," in 30th Annual Symposium on Foundations of Computer Science. Research Triangle Park, NC: IEEE, Oct. 1989, pp. 580-584.
    • (1989) 30th Annual Symposium on Foundations of Computer Science , pp. 580-584
    • Allender, E.W.1
  • 2
    • 12144289151 scopus 로고    scopus 로고
    • Communication complexity of simultaneous messages
    • L. Babai, A. Gál, P. G. Kimmel, and S. V. Lokam, "Communication complexity of simultaneous messages," SIAM Journal on Computing, vol. 33, no. 1, pp. 137-166, 2003.
    • (2003) SIAM Journal on Computing , vol.33 , Issue.1 , pp. 137-166
    • Babai, L.1    Gál, A.2    Kimmel, P.G.3    Lokam, S.V.4
  • 3
    • 0039304089 scopus 로고    scopus 로고
    • The cost of the missing bit: Communication complexity with help
    • L. Babai, T. P. Hayes, and P. G. Kimmel, "The cost of the missing bit: Communication complexity with help," Combinatorica, vol. 21, no. 4, pp. 455-488, 2001.
    • (2001) Combinatorica , vol.21 , Issue.4 , pp. 455-488
    • Babai, L.1    Hayes, T.P.2    Kimmel, P.G.3
  • 4
    • 0026940019 scopus 로고
    • Multiparty protocols, pseudorandom generators for logspace, and time-space tradeoffs
    • Oct.
    • L. Babai, N. Nisan, and M. Szegedy, "Multiparty protocols, pseudorandom generators for logspace, and time-space tradeoffs," Journal of Computer and System Sciences, vol. 45, no. 2, pp. 204-232, Oct. 1992.
    • (1992) Journal of Computer and System Sciences , vol.45 , Issue.2 , pp. 204-232
    • Babai, L.1    Nisan, N.2    Szegedy, M.3
  • 5
    • 34249038028 scopus 로고    scopus 로고
    • A strong direct product theorem for corruption and the multiparty communication complexity of set disjointness
    • P. Beame, T. Pitassi, N. Segerlind, and A. Wigderson, "A strong direct product theorem for corruption and the multiparty communication complexity of set disjointness," Computational Complexity, vol. 15, no. 4, pp. 391-432, 2006.
    • (2006) Computational Complexity , vol.15 , Issue.4 , pp. 391-432
    • Beame, P.1    Pitassi, T.2    Segerlind, N.3    Wigderson, A.4
  • 6
    • 57949116863 scopus 로고    scopus 로고
    • A hypercontractive inequality for matrix-valued functions with applications to quantum computing
    • Philadelphia, PA: IEEE, Oct.
    • A. Ben-Aroya, O. Regev, and R. de Wolf, "A hypercontractive inequality for matrix-valued functions with applications to quantum computing," in Proceedings 49th Annual Symposium on Foundations of Computer Science. Philadelphia, PA: IEEE, Oct. 2008, pp. 477-486.
    • (2008) Proceedings 49th Annual Symposium on Foundations of Computer Science , pp. 477-486
    • Ben-Aroya, A.1    Regev, O.2    De Wolf, R.3
  • 9
    • 84990719432 scopus 로고
    • Quasi-random classes of hypergraphs
    • F. R. K. Chung, "Quasi-random classes of hypergraphs," Random Structures and Algorithms, vol. 1, no. 4, pp. 363-382, 1990.
    • (1990) Random Structures and Algorithms , vol.1 , Issue.4 , pp. 363-382
    • Chung, F.R.K.1
  • 11
    • 0001295178 scopus 로고
    • On the power of small-depth threshold circuits
    • J. Håstad and M. Goldmann, "On the power of small-depth threshold circuits," Computational Complexity, vol. 1, pp. 113-129, 1991.
    • (1991) Computational Complexity , vol.1 , pp. 113-129
    • Håstad, J.1    Goldmann, M.2
  • 13
    • 77956759869 scopus 로고    scopus 로고
    • Cambridge, England; New York: Cambridge University Press
    • E. Kushilevitz and N. Nisan, Communication Complexity. Cambridge, England; New York: Cambridge University Press, 1997.
    • (1997) Communication Complexity
    • Kushilevitz, E.1    Nisan, N.2
  • 16
    • 0000607672 scopus 로고
    • On the degree of boolean functions as real polynomials
    • N. Nisan and M. Szegedy, "On the degree of boolean functions as real polynomials," Computational Complexity, vol. 4, pp. 301-314, 1994.
    • (1994) Computational Complexity , vol.4 , pp. 301-314
    • Nisan, N.1    Szegedy, M.2
  • 17
    • 0034563764 scopus 로고    scopus 로고
    • The BNS-Chung criterion for multi-party communication complexity
    • R. Raz, "The BNS-Chung criterion for multi-party communication complexity," Computational Complexity, vol. 9, pp. 113-122, 2000.
    • (2000) Computational Complexity , vol.9 , pp. 113-122
    • Raz, R.1
  • 18
    • 0000347859 scopus 로고
    • Lower bounds on the size of depth 3 threshold circuits with AND gates at the bottom
    • A. Razborov and A. Wigderson, "Lower bounds on the size of depth 3 threshold circuits with AND gates at the bottom," Information Processing Letters, vol. 45, pp. 303-307, 1993.
    • (1993) Information Processing Letters , vol.45 , pp. 303-307
    • Razborov, A.1    Wigderson, A.2
  • 25
    • 34748857354 scopus 로고    scopus 로고
    • Pseudorandom bits for constant-depth circuits with few arbitrary symmetric gates
    • DOI 10.1137/050640941
    • E. Viola, "Pseudorandom bits for constant-depth circuits with few arbitrary symmetric gates," SIAM Journal on Computing, vol. 36, no. 5, pp. 1387-1403, 2007. (Pubitemid 47632452)
    • (2006) SIAM Journal on Computing , vol.36 , Issue.5 , pp. 1387-1403
    • Viola, E.1
  • 26
    • 45749112416 scopus 로고    scopus 로고
    • One-way multi-party communication lower bound for pointer jumping with applications
    • Berkeley, CA: IEEE, Oct.
    • E. Viola and A. Wigderson, "One-way multi-party communication lower bound for pointer jumping with applications," in Proceedings 48th Annual Symposium on Foundations of Computer Science. Berkeley, CA: IEEE, Oct. 2007, pp. 427-437.
    • (2007) Proceedings 48th Annual Symposium on Foundations of Computer Science , pp. 427-437
    • Viola, E.1    Wigderson, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.