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Volumn 21, Issue 1, 1996, Pages 176-198

Generating and Counting Hamilton Cycles in Random Regular Graphs

Author keywords

[No Author keywords available]

Indexed keywords

CYCLE(GRAPH); HAMILTONIAN CYCLE; POLYNOMIAL TIME; RANDOM GRAPH; REGULAR GRAPH; VERTEX(GRAPH);

EID: 0030371597     PISSN: 01966774     EISSN: None     Source Type: Journal    
DOI: 10.1006/jagm.1996.0042     Document Type: Article
Times cited : (36)

References (15)
  • 1
    • 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, J. Combin. Theory Ser. A 24 (1978), 296-307.
    • (1978) J. Combin. Theory Ser. A , vol.24 , pp. 296-307
    • Bender, E.A.1    Canfield, E.R.2
  • 2
    • 85012809279 scopus 로고
    • Almost all regular graphs are Hamiltonian
    • B. Bollobás, Almost all regular graphs are Hamiltonian, European J. Combin. 4 (1983), 97-106.
    • (1983) European J. Combin. , vol.4 , pp. 97-106
    • Bollobás, B.1
  • 3
    • 85012603843 scopus 로고
    • A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
    • B. Bollobás, A probabilistic proof of an asymptotic formula for the number of labelled regular graphs, European J. Combin. 1 (1980), 311-316.
    • (1980) European J. Combin. , vol.1 , pp. 311-316
    • Bollobás, B.1
  • 5
  • 6
    • 38249032705 scopus 로고
    • Finding Hamilton cycles in sparse random graphs
    • A. M. Frieze, Finding Hamilton cycles in sparse random graphs, J. Combin. Theory Ser. B 44 (1988), 230-250.
    • (1988) J. Combin. Theory Ser. B , vol.44 , pp. 230-250
    • Frieze, A.M.1
  • 9
    • 0024904712 scopus 로고
    • Approximating the permanent
    • M. R. Jerrum and A. J. Sinclair, Approximating the permanent, SIAM J. Comput. 18 (1989), 1149-1178.
    • (1989) SIAM J. Comput. , vol.18 , pp. 1149-1178
    • Jerrum, M.R.1    Sinclair, A.J.2
  • 10
    • 38249043088 scopus 로고
    • Random generation of combinatorial structures from a uniform distribution
    • M. R. Jerrum, L. G. Valiant, and V. V. Vazirani, Random generation of combinatorial structures from a uniform distribution, Theoret. Comput. Sci. 43 (1986), 169-188.
    • (1986) Theoret. Comput. Sci. , vol.43 , pp. 169-188
    • Jerrum, M.R.1    Valiant, L.G.2    Vazirani, V.V.3
  • 11
    • 0041182109 scopus 로고
    • Existence of long cycles in random cubic graphs
    • D. M. Jackson and S. A. Vanstone, Eds. Academic Press, Toronto
    • R. W. Robinson and N. C. Wormald, Existence of long cycles in random cubic graphs, in "Enumeration and Design" (D. M. Jackson and S. A. Vanstone, Eds.) pp. 251-270, Academic Press, Toronto, 1984.
    • (1984) Enumeration and Design , pp. 251-270
    • Robinson, R.W.1    Wormald, N.C.2
  • 15
    • 0003500836 scopus 로고
    • A short proof of the factor theorem for finite graphs
    • W. T. Tutte, A short proof of the factor theorem for finite graphs, Canad. J. Math. 6 (1954), 347-352.
    • (1954) Canad. J. Math. , vol.6 , pp. 347-352
    • Tutte, W.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.