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Volumn 12, Issue 4, 1999, Pages 1017-1054

Sharp thresholds of graph properties, and the k-sat problem

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EID: 0033458154     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0894-0347-99-00305-7     Document Type: Article
Times cited : (512)

References (28)
  • 2
    • 0040072443 scopus 로고
    • Minimal non-2-colorable hypergraplis and minimal unsatisfiable formulas
    • Series A November MR 88b:05059
    • R. Aharoni, N. Linial, Minimal Non-2-colorable Hypergraplis and Minimal Unsatisfiable Formulas, Journal of Combinatorial Theory, Series A Vol. 43 no.2 November 1986. MR 88b:05059
    • (1986) Journal of Combinatorial Theory , vol.43 , Issue.2
    • Aharoni, R.1    Linial, N.2
  • 4
    • 0022116584 scopus 로고
    • Inequalities with application to percolation and reliability
    • MR 87b:60027
    • J. van den Berg and H. Kesten, Inequalities with application to percolation and reliability, Journal of Applied Probability 22 (1985) 556-569. MR 87b:60027
    • (1985) Journal of Applied Probability , vol.22 , pp. 556-569
    • Van Den Berg, J.1    Kesten, H.2
  • 5
    • 0004219960 scopus 로고
    • Academic Press, London, MR 87f:05152
    • B. Bollobás, Random Graphs, Academic Press, London, 1985. MR 87f:05152
    • (1985) Random Graphs
    • Bollobás, B.1
  • 6
    • 51249171765 scopus 로고
    • Threshold functions
    • MR 88g:05122
    • B. Bollobás and A. Thomason, Threshold functions, Combinatorica 7 (1986) 35-38. MR 88g:05122
    • (1986) Combinatorica , vol.7 , pp. 35-38
    • Bollobás, B.1    Thomason, A.2
  • 9
    • 0022809084 scopus 로고
    • Probabilistic analysis of two heuristics for the 3-sat
    • MR 88b:68079
    • M. T. Chao, J. Franco (1986), Probabilistic Analysis of Two Heuristics for the 3-sat. Problem. Siam J. Comput. 15(4). MR 88b:68079
    • (1986) Problem. Siam J. Comput. , vol.15 , Issue.4
    • Chao, M.T.1    Franco, J.2
  • 12
    • 0001847481 scopus 로고
    • On the evolution of random graphs
    • MR 23:A2338
    • P. Erdös, A. Rényi, On the evolution of random graphs, Mat Kutató Int. Közl. (1960)5, 17-60. MR 23:A2338
    • (1960) Mat Kutató Int. Közl. , Issue.5 , pp. 17-60
    • Erdös, P.1    Rényi, A.2
  • 13
    • 0032423576 scopus 로고    scopus 로고
    • Boolean functions with low average sensitivity depend on few coordinates
    • CMP 99:02
    • E. Friedgut, Boolean functions with low average sensitivity depend on few coordinates, Combinatorica 18 (1998) 27-35. CMP 99:02
    • (1998) Combinatorica , vol.18 , pp. 27-35
    • Friedgut, E.1
  • 14
    • 13744252028 scopus 로고    scopus 로고
    • Every monotone graph property has a sharp threshold
    • MR 97e:05172
    • E. Friedgut, G. Kalai, Every monotone graph property has a sharp threshold, Proc. Amer. Math. Soc. 124 (1996), pp. 2993-3002. MR 97e:05172
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 2993-3002
    • Friedgut, E.1    Kalai, G.2
  • 15
    • 84990674971 scopus 로고
    • Perfect matchings in random s-uniform hypergraphs
    • MR 96f:05173
    • A. Frieze, S. Janson, Perfect Matchings in Random s-uniform Hypergraphs. Random Structures and Algorithms, 7 (1995), no. 1, 41-57. MR 96f:05173
    • (1995) Random Structures and Algorithms , vol.7 , Issue.1 , pp. 41-57
    • Frieze, A.1    Janson, S.2
  • 16
    • 0030371894 scopus 로고
    • Analysis of two simple heuristics on a r.Andom instance of k-sat
    • MR 97c:68062
    • A. Frieze, S. Suen, (1992) Analysis of Two Simple Heuristics on a R.andom Instance of k-sat. Journal of Algorithms 20, (1996) 312-355. MR 97c:68062
    • (1992) Journal of Algorithms , vol.20 , pp. 312-355
    • Frieze, A.1    Suen, S.2
  • 17
    • 0039480684 scopus 로고    scopus 로고
    • A threshold for satisfiability
    • (I.M.Havel and V.Koubek eds.) Prague, Poland
    • A. Goerdt (1992) A threshold for satisfiability. In Math. Foundations of Computer Science (I.M.Havel and V.Koubek eds.) Prague, Poland.
    • Math. Foundations of Computer Science , vol.1992
    • Goerdt, A.1
  • 19
    • 0002461628 scopus 로고    scopus 로고
    • Tail bounds for occupancy and the satisfiability threshold conjecture
    • A. Kamath, R. Motwani, K.Palem, P.Spirakis Tail Bounds for Occupancy and the Satisfiability Threshold Conjecture. Proc. 35th FOCS pp. 592-603.
    • Proc. 35th FOCS , pp. 592-603
    • Kamath, A.1    Motwani, R.2
  • 20
    • 0028434242 scopus 로고
    • Critical behaviour in the satisfiability of random Boolean expressions
    • MR 96e:68063
    • S. Kirkpatrick, B. Selman, Critical Behaviour in the Satisfiability of Random Boolean Expressions, Science, Vol.264 (1994) 1297-1301. MR 96e:68063
    • (1994) Science , vol.264 , pp. 1297-1301
    • Kirkpatrick, S.1    Selman, B.2
  • 23
    • 0002577888 scopus 로고
    • Probabilistic characteristics of graphs with large connectivity
    • MR 57:12300
    • G. Margulis, Probabilistic characteristics of graphs with large connectivity, Prob. Peredachi Inform. 10(1974), 101-108. MR 57:12300
    • (1974) Prob. Peredachi Inform. , vol.10 , pp. 101-108
    • Margulis, G.1
  • 25
    • 34250275869 scopus 로고
    • On the critical percolation probabilities
    • L. Russo, On the critical percolation probabilities, Z. Wahrsch. werw. Gebiete, 43(1978), 39-48.
    • (1978) Z. Wahrsch. Werw. Gebiete , vol.43 , pp. 39-48
    • Russo, L.1
  • 26
    • 0000495093 scopus 로고
    • An approximate zero-one law
    • MR 84e:60153
    • L. Russo, An approximate zero-one law, Z. Wahrsch. werw. Gebiete, 61 (1982), 129-139. MR 84e:60153
    • (1982) Z. Wahrsch. Werw. Gebiete
    • Russo, L.1
  • 27
    • 51249176947 scopus 로고
    • A threshold for perfect matchings in random d-pure hypergraphs
    • J. Schmidt-Pruzan, E. Shamir, A threshold for perfect matchings in random d-pure hypergraphs, Combinatorica 5 (1985) 81-94.
    • (1985) Combinatorica , vol.5 , pp. 81-94
    • Schmidt-Pruzan, J.1    Shamir, E.2
  • 28
    • 0000055593 scopus 로고
    • On Russo's approximate 0-1 law
    • MR 96g:28009
    • M. Talagrand, On Russo's approximate 0-1 law, The Annals of Probability, 1994, Vol.22 No.3 1576-1587. MR 96g:28009
    • (1994) The Annals of Probability , vol.22 , Issue.3 , pp. 1576-1587
    • Talagrand, M.1


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