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Volumn , Issue , 2008, Pages 721-730

On the constant-depth complexity of k-clique

Author keywords

Bounded variable hierarchy; Circuit complexity; Constant depth circuits; First order logic; K clique

Indexed keywords

FORMAL LOGIC; GRAPH THEORY;

EID: 57049173496     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1374376.1374480     Document Type: Conference Paper
Times cited : (103)

References (29)
  • 2
    • 38249026668 scopus 로고
    • First-order definability on finite structures
    • M. Ajtai. First-order definability on finite structures. Ann. Pure Appl. Logic, 45(3):211-225, 1989.
    • (1989) Ann. Pure Appl. Logic , vol.45 , Issue.3 , pp. 211-225
    • Ajtai, M.1
  • 3
    • 51249171493 scopus 로고
    • The monotone circuit complexity of boolean functions
    • 7(l):l-22
    • N. Alon and R. B. Boppana. The monotone circuit complexity of boolean functions. Cornbinatorica, 7(l):l-22, 1987.
    • (1987) Cornbinatorica
    • Alon, N.1    Boppana, R.B.2
  • 5
    • 33644602160 scopus 로고    scopus 로고
    • A superpolynomial lower bound for a circuit computing the clique function with at most (1/6) log log n negation gates
    • K. Amano and A. Maruoka. A superpolynomial lower bound for a circuit computing the clique function with at most (1/6) log log n negation gates. SIAM J., Comput, 35(1):201-215, 2005.
    • (2005) SIAM J., Comput , vol.35 , Issue.1 , pp. 201-215
    • Amano, K.1    Maruoka, A.2
  • 7
    • 50849145457 scopus 로고
    • Lower bounds for recognizing small cliques on GROW PRAM's
    • P. Beame. Lower bounds for recognizing small cliques on GROW PRAM's. Discrete Appl. Math., 29(l):3-20, 1990.
    • (1990) Discrete Appl. Math , vol.29 , Issue.L , pp. 3-20
    • Beame, P.1
  • 8
    • 0004288071 scopus 로고
    • A switching lemma primer
    • Technical Report UW-CSE-95-07-01, Department of Computer Science and Engineering, University of Washington, November
    • P. Beame. A switching lemma primer. Technical Report UW-CSE-95-07-01, Department of Computer Science and Engineering, University of Washington, November 1994.
    • (1994)
    • Beame, P.1
  • 9
    • 0031221311 scopus 로고    scopus 로고
    • The average sensitivity of bounded-depth circuits
    • R. B. Boppana. The average sensitivity of bounded-depth circuits. Inf. Process. Lett., 63(5):257-261, 1997.
    • (1997) Inf. Process. Lett , vol.63 , Issue.5 , pp. 257-261
    • Boppana, R.B.1
  • 10
    • 57049149351 scopus 로고    scopus 로고
    • How many first-order variables are needed on finite ordered structures?
    • A. Dawar. How many first-order variables are needed on finite ordered structures? In We Will Show Them: Essays in Honour of Dov Gabbay, pages 489-520, 2005.
    • (2005) We Will Show Them: Essays in Honour of Dov Gabbay , pp. 489-520
    • Dawar, A.1
  • 11
    • 0022761884 scopus 로고
    • Definability by constant-depth polynomial-size circuits
    • L. Denenberg, Y. Gurevich, and S. Shelah. Definability by constant-depth polynomial-size circuits. Information and Control, 70(2/3):216-240, 1986.
    • (1986) Information and Control , vol.70 , Issue.2-3 , pp. 216-240
    • Denenberg, L.1    Gurevich, Y.2    Shelah, S.3
  • 13
    • 0026837701 scopus 로고
    • A simple lower bound for the depth of monotone circuits computing clique using a communication game
    • M. Goldmann and J. Håstad. A simple lower bound for the depth of monotone circuits computing clique using a communication game. Information Processing Letters, 41(4):221-226, 1992.
    • (1992) Information Processing Letters , vol.41 , Issue.4 , pp. 221-226
    • Goldmann, M.1    Håstad, J.2
  • 14
    • 0040944353 scopus 로고    scopus 로고
    • Finite variable logics in descriptive complexity theory
    • M. Grohe. Finite variable logics in descriptive complexity theory. Bulletin of Symbolic Logic, 4(4):345-398, 1998.
    • (1998) Bulletin of Symbolic Logic , vol.4 , Issue.4 , pp. 345-398
    • Grohe, M.1
  • 16
    • 0002327753 scopus 로고
    • Upper and lower bounds for first order expressibility
    • N. Immerman. Upper and lower bounds for first order expressibility. J. Cornput. Syst. Set., 25(1):76-98, 1982.
    • (1982) J. Cornput. Syst. Set , vol.25 , Issue.1 , pp. 76-98
    • Immerman, N.1
  • 17
    • 0024680290 scopus 로고    scopus 로고
    • N. Immerman. Expressibility and parallel complexity. SIAM J. Cornput., 18(3):625-638, 1989.
    • N. Immerman. Expressibility and parallel complexity. SIAM J. Cornput., 18(3):625-638, 1989.
  • 18
    • 57049100620 scopus 로고    scopus 로고
    • N. Immerman. Descriptive Complexity. Graduate Texts in Computer Science. Springer-Verlag, New York, 1999.
    • N. Immerman. Descriptive Complexity. Graduate Texts in Computer Science. Springer-Verlag, New York, 1999.
  • 19
    • 84990712091 scopus 로고
    • Poisson approximation for large deviations
    • S. Janson. Poisson approximation for large deviations. Random Struct. Algorithms, l(2):221-230, 1990.
    • (1990) Random Struct. Algorithms , vol.50 , Issue.2 , pp. 221-230
    • Janson, S.1
  • 20
    • 0003063741 scopus 로고
    • An exponential bound for the probability of nonexistence of a specified subgraph in a random graph
    • S. Janson, T. Luczak, and A. Rucinski. An exponential bound for the probability of nonexistence of a specified subgraph in a random graph. In Random Graphs '87, pages 73-87, 1990.
    • (1990) Random Graphs '87 , pp. 73-87
    • Janson, S.1    Luczak, T.2    Rucinski, A.3
  • 23
    • 84934551981 scopus 로고
    • A depth-size tradeoff for boolean circuits with unbounded fan-in
    • J. F. Lynch. A depth-size tradeoff for boolean circuits with unbounded fan-in. In Structure in Complexity Theory Conference, pages 234-248, 1986.
    • (1986) Structure in Complexity Theory Conference , pp. 234-248
    • Lynch, J.F.1
  • 25
    • 0000763102 scopus 로고
    • Deux ou trois choses que je sais de Ln.
    • B. Poizat. Deux ou trois choses que je sais de Ln. J. Symb. Log., 47(3):641-658, 1982.
    • (1982) J. Symb. Log , vol.47 , Issue.3 , pp. 641-658
    • Poizat, B.1
  • 26
    • 57049177295 scopus 로고    scopus 로고
    • A. A. R.azborov. Lower bounds on the monotone complexity of some boolean functions. Doklady Akademii Nauk SSSR, 281:798-801, 1985.
    • A. A. R.azborov. Lower bounds on the monotone complexity of some boolean functions. Doklady Akademii Nauk SSSR, 281:798-801, 1985.
  • 27
    • 0000574714 scopus 로고
    • English translation in
    • English translation in Soviet Math. Doklady 31 (1985), 354-357.
    • (1985) Soviet Math. Doklady , vol.31 , pp. 354-357
  • 28
    • 0023998665 scopus 로고
    • On the complexity of branching programs and decision trees for clique functions
    • I. Wegener. On the complexity of branching programs and decision trees for clique functions. J. ACM, 35(2):46f-471, 1988.
    • (1988) J. ACM , vol.35 , Issue.2
    • Wegener, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.