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Volumn 15, Issue , 2004, Pages 665-674

The pure literal rule threshold and cores in random hypergraphs

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN ALGEBRA; BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); HEURISTIC METHODS; MATHEMATICAL MODELS; PROBABILITY; PROBLEM SOLVING; RANDOM PROCESSES; THEOREM PROVING;

EID: 1842539405     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (19)

References (27)
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  • 2
    • 0034826226 scopus 로고    scopus 로고
    • Full version to appear
    • D. Achlioptas, P. Beame and M. Molloy, A sharp threshold in proof complexity. Proceedings of STOC 2001, 337-346. Full version to appear in J. Computer and System Sciences.
    • J. Computer and System Sciences
  • 4
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    • K. Azuma. Weighted Sums of Certain Dependent Random Variables. Tokuku Math. Journal 19 (1967), 357-367.
    • (1967) Tokuku Math. Journal , vol.19 , pp. 357-367
    • Azuma, K.1
  • 5
    • 0000664045 scopus 로고
    • The asymptotic number of labelled graphs with given degree, sequences
    • E. A. Bender and E. R. Canfield, The asymptotic number of labelled graphs with given degree, sequences. Journal of Combinatorial Theory (A) 24 (1978), 296-307.
    • (1978) Journal of Combinatorial Theory (A) , vol.24 , pp. 296-307
    • Bender, E.A.1    Canfield, E.R.2
  • 6
    • 0011632190 scopus 로고
    • The evolution of sparse graphs
    • editor: B. Bollobás
    • B. Bollobás. The evolution of sparse graphs. In "Graph Theory and Combinatorics", editor: B. Bollobás, 35-57 (1984).
    • (1984) Graph Theory and Combinatorics , pp. 35-57
    • Bollobás, B.1
  • 7
    • 0000334704 scopus 로고
    • Martingales, Isoperimetric Inequalities and Random Graphs
    • B. Bollobás, Martingales, Isoperimetric Inequalities and Random Graphs. Colloq. Math. Soc. Janós Bolyai 52 (1987), 113-139.
    • (1987) Colloq. Math. Soc. Janós Bolyai , vol.52 , pp. 113-139
    • Bollobás, B.1
  • 10
    • 84990675524 scopus 로고
    • Almost All Graphs With 1.44n Edges are 3-Colourable
    • V. Chvátal. Almost All Graphs With 1.44n Edges are 3-Colourable. Random Structures and Algorithms 2 (1991), 11-28.
    • (1991) Random Structures and Algorithms , vol.2 , pp. 11-28
    • Chvátal, V.1
  • 11
    • 0024090265 scopus 로고
    • Many hard examples for resolution
    • V. Chvatal and E. Szemeredi. Many hard examples for resolution. Journal of the ACM 35 (1988) 759-768.
    • (1988) Journal of the ACM , vol.35 , pp. 759-768
    • Chvatal, V.1    Szemeredi, E.2
  • 14
    • 0004287957 scopus 로고
    • Probabilistic analysis of the pure literal heuristic for the satisfiability problem
    • J. Franco Probabilistic analysis of the pure literal heuristic for the satisfiability problem. Annals of Operations Research I (1984), 273-289.
    • (1984) Annals of Operations Research , vol.1 , pp. 273-289
    • Franco, J.1
  • 16
    • 84896786428 scopus 로고    scopus 로고
    • To appear
    • A. Goerdt and M. Molloy. Analysis of edge deletion processes on random regular graphs Proceedings of Latin American Theoretical Informatics, 38-47 (2000). To appear in Theoretical Computer Science.
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  • 20
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    • Size and connectivity of the k-core of a random graph
    • T. Łuczak. Size and connectivity of the k-core of a random graph. Discrete Math. 91, 61-68 (1991).
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    • Łuczak, T.1
  • 22
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    • Tight thresholds for the pure literal rule
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    • M. Mitzenmacher. Tight thresholds for the pure literal rule. Technical Note 1997-011, Digital Systems Research Center, Palo Alto, CA (1997).
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    • M. Molloy. A gap between the appearance of a k-core and a k-chromatic graph. Random Structures & Algorithms 8, 159-160 (1996).
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  • 24
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    • Sudden emergence of a giant k-core in a random graph
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    • (1996) J. Comb. Th. B , vol.67 , pp. 111-151
    • Pittel, B.1    Spencer, J.2    Wormald, N.3
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    • J. Plotkin and J. Rosenthal. Probabilistic analysis of the pure literal for the satisfiability problem. Abstracts of the AMS 6 (1995), p. 267.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.