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Volumn , Issue , 2004, Pages 590-599

The exact satisfiability threshold for a potentially intractable random constraint satisfaction problem

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT SATISFACTION PROBLEM; RANDOM INSTANCES; THRESHOLD CHARACTERISTICS;

EID: 17744372925     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (12)

References (50)
  • 1
    • 0034892310 scopus 로고    scopus 로고
    • Lower bounds for random 3-SAT via differential equations
    • August
    • D. Achlioptas. Lower bounds for random 3-SAT via differential equations. Theoretical Computer Science, 265(1-2):159-185, August 2001.
    • (2001) Theoretical Computer Science , vol.265 , Issue.1-2 , pp. 159-185
    • Achlioptas, D.1
  • 2
    • 1842458396 scopus 로고    scopus 로고
    • A sharp threshold in proof complexity yields lower bounds for satisfiability search
    • March
    • D. Achlioptas, P. Beame, and M. Molloy. A sharp threshold in proof complexity yields lower bounds for satisfiability search. Journal of Computer and System Sciences, 68(2):238-268, March 2004.
    • (2004) Journal of Computer and System Sciences , vol.68 , Issue.2 , pp. 238-268
    • Achlioptas, D.1    Beame, P.2    Molloy, M.3
  • 12
    • 0024090265 scopus 로고
    • Many hard examples for resolution
    • October
    • V. Chvátal and E. Szemerédi. Many hard examples for resolution. Journal of the ACM, 35(4):759-768, October 1988.
    • (1988) Journal of the ACM , vol.35 , Issue.4 , pp. 759-768
    • Chvátal, V.1    Szemerédi, E.2
  • 16
    • 0038238506 scopus 로고    scopus 로고
    • Generalized satisfiability problems: Minimal elements and phase transisitons
    • June
    • N. Creignou and H. Daudé. Generalized satisfiability problems: Minimal elements and phase transisitons. Theoretical Computer Science, 302(1-3):417-430, June 2003.
    • (2003) Theoretical Computer Science , vol.302 , Issue.1-3 , pp. 417-430
    • Creignou, N.1    Daudé, H.2
  • 18
    • 11144290180 scopus 로고    scopus 로고
    • Typical random 3-SAT formulae and the satisfiability threshold
    • Electronic Colloquium on Computational Complexity
    • O. Dubois, Y. Boufkhad, and J. Mandler. Typical random 3-SAT formulae and the satisfiability threshold. Technical Report TR03-007, Electronic Colloquium on Computational Complexity, 2003.
    • (2003) Technical Report , vol.TR03-007
    • Dubois, O.1    Boufkhad, Y.2    Mandler, J.3
  • 20
    • 85009204342 scopus 로고    scopus 로고
    • A probabilistic analysis of randomly generated binary constraint satisfaction problems
    • January
    • M. Dyer, A. Frieze, and M. Molloy. A probabilistic analysis of randomly generated binary constraint satisfaction problems. Theoretical Computer Science, 290(3): 1815-1828, January 2003.
    • (2003) Theoretical Computer Science , vol.290 , Issue.3 , pp. 1815-1828
    • Dyer, M.1    Frieze, A.2    Molloy, M.3
  • 22
    • 3142530943 scopus 로고    scopus 로고
    • A sharp threshold for a random constraint satisfaction problem
    • August
    • A. D. Flaxman. A sharp threshold for a random constraint satisfaction problem. Discrete Mathematics, 285(1-3):301-305, August 2003.
    • (2003) Discrete Mathematics , vol.285 , Issue.1-3 , pp. 301-305
    • Flaxman, A.D.1
  • 23
    • 0033458154 scopus 로고    scopus 로고
    • Sharp thresholds of graph properties and the k-SAT problem
    • E. Friedgut. Sharp thresholds of graph properties and the k-SAT problem. Journal of the American Mathematical Society, 12(4): 1017-1054, 1999.
    • (1999) Journal of the American Mathematical Society , vol.12 , Issue.4 , pp. 1017-1054
    • Friedgut, E.1
  • 26
    • 17744387393 scopus 로고    scopus 로고
    • Resolution complexity of random constraint satisfaction problems: Another half of the story
    • Y. Gao and J. Culberson. Resolution complexity of random constraint satisfaction problems: Another half of the story. Electronic Notes in Discrete Mathematics, 16, 2003.
    • (2003) Electronic Notes in Discrete Mathematics , vol.16
    • Gao, Y.1    Culberson, J.2
  • 27
    • 0035479063 scopus 로고    scopus 로고
    • Random constraint satisfaction: Flaws and structure
    • October
    • I. P. Gent, E. Maclntyre, P. Presser, B. M. Smith, and T. Walsh. Random constraint satisfaction: Flaws and structure. Constraints, 6(4):345-372, October 2001.
    • (2001) Constraints , vol.6 , Issue.4 , pp. 345-372
    • Gent, I.P.1    Maclntyre, E.2    Presser, P.3    Smith, B.M.4    Walsh, T.5
  • 28
    • 0030388062 scopus 로고    scopus 로고
    • A threshold for unsatisfiability
    • December
    • A. Goerdt. A threshold for unsatisfiability. Journal of Computer and System Sciences, 53(3):469-486, December 1996.
    • (1996) Journal of Computer and System Sciences , vol.53 , Issue.3 , pp. 469-486
    • Goerdt, A.1
  • 30
    • 0000212280 scopus 로고
    • Stirling distributions and stirling numbers of the second kind, computational problems and statistics
    • F. Hennecart. Stirling distributions and stirling numbers of the second kind, computational problems and statistics. Kybernetika, 30(3):279-288, 1994.
    • (1994) Kybernetika , vol.30 , Issue.3 , pp. 279-288
    • Hennecart, F.1
  • 33
    • 0034887189 scopus 로고    scopus 로고
    • Statistical mechanics methods and phase transitions in optimization problems
    • August
    • O. C. Martin, R. Monasson, and R. Zecchina. Statistical mechanics methods and phase transitions in optimization problems. Theoretical Computer Science, 265(1-2): 3-67, August 2001.
    • (2001) Theoretical Computer Science , vol.265 , Issue.1-2 , pp. 3-67
    • Martin, O.C.1    Monasson, R.2    Zecchina, R.3
  • 35
    • 0037008520 scopus 로고    scopus 로고
    • Analytic and algorithmic solution of random satisfiability problems
    • August
    • M. Mezard, G. Parisi, and R. Zecchina. Analytic and algorithmic solution of random satisfiability problems. Science, 297:812-815, August 2002.
    • (2002) Science , vol.297 , pp. 812-815
    • Mezard, M.1    Parisi, G.2    Zecchina, R.3
  • 36
  • 43
    • 0032553269 scopus 로고    scopus 로고
    • Identical points in random combinatorics: The (2 + p)-SAT case
    • November
    • R. Monasson and R. Zecchina. Identical points in random combinatorics: the (2 + p)-SAT case. Journal of Physics A: Mathematical and General, 31(42,20):9209-9217, November 1998.
    • (1998) Journal of Physics A: Mathematical and General , vol.31 , Issue.20-42 , pp. 9209-9217
    • Monasson, R.1    Zecchina, R.2
  • 45
    • 0033431975 scopus 로고    scopus 로고
    • 2 + p-SAT: Relation of typical-case complexity to the nature of the phase transition
    • October-December
    • R. Monasson, R. Zecchina, S. Kirkpatrick, B. Selman, and L. Troyansky. 2 + p-SAT: Relation of typical-case complexity to the nature of the phase transition. Random Structures and Algorithms, 15(3-4):414-435, October-December 1999.
    • (1999) Random Structures and Algorithms , vol.15 , Issue.3-4 , pp. 414-435
    • Monasson, R.1    Zecchina, R.2    Kirkpatrick, S.3    Selman, B.4    Troyansky, L.5
  • 46
    • 0033536221 scopus 로고    scopus 로고
    • Determining computational complexity from characteristic 'phase transitions'
    • July
    • R. Monasson, R. Zecchina, S. Kirkpatrick, B. Selman, and L. Troyansky. Determining computational complexity from characteristic 'phase transitions'. Nature, 400:133-137, July 1999.
    • (1999) Nature , vol.400 , pp. 133-137
    • Monasson, R.1    Zecchina, R.2    Kirkpatrick, S.3    Selman, B.4    Troyansky, L.5
  • 48
    • 0034882302 scopus 로고    scopus 로고
    • Constructing an asymptotic phase transition in random binary constraint satisfaction problems
    • August
    • B. M. Smith. Constructing an asymptotic phase transition in random binary constraint satisfaction problems. Theoretical Computer Science, 265(1-2):265-283, August 2001.
    • (2001) Theoretical Computer Science , vol.265 , Issue.1-2 , pp. 265-283
    • Smith, B.M.1
  • 49
    • 14344276587 scopus 로고    scopus 로고
    • Exact phase transitions in random constraint satisfaction problems
    • K. Xu and W. Li. Exact phase transitions in random constraint satisfaction problems. Journal of Artificial Intelligence Research, 12:93-103, 2000.
    • (2000) Journal of Artificial Intelligence Research , vol.12 , pp. 93-103
    • Xu, K.1    Li, W.2
  • 50
    • 0345438632 scopus 로고    scopus 로고
    • Many hard examples in exact phase transitions with application to generating hard satisfiable instances
    • Computing Research Repository (CoRR)
    • K. Xu and W. Li. Many hard examples in exact phase transitions with application to generating hard satisfiable instances. Technical Report cs.CC/0302001, Computing Research Repository (CoRR), 2003.
    • (2003) Technical Report cs.CC/0302001
    • Xu, K.1    Li, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.