메뉴 건너뛰기




Volumn 19, Issue 2, 2001, Pages 128-147

Hamilton cycles containing randomly selected edges in random regular graphs

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035636763     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/rsa.1024     Document Type: Article
Times cited : (11)

References (16)
  • 1
    • 0000664045 scopus 로고
    • The asymptotic number of labeled graphs with given degree sequences
    • E.A. Bender and E.R. Canfield, The asymptotic number of labeled 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
    • 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
  • 3
    • 0040196671 scopus 로고
    • The asymptotic number of unlabelled regular graphs
    • B. Bollobás, The asymptotic number of unlabelled regular graphs, J London Math Soc 26 (1982), 201-206.
    • (1982) J London Math Soc , vol.26 , pp. 201-206
    • Bollobás, B.1
  • 5
    • 0004617115 scopus 로고
    • The number of matchings in random regular graphs and bipartite graphs
    • B. Bollobás and B.D. McKay, The number of matchings in random regular graphs and bipartite graphs, J Combin Theory Ser B 41 (1986), 80-91.
    • (1986) J Combin Theory Ser B , vol.41 , pp. 80-91
    • Bollobás, B.1    McKay, B.D.2
  • 6
  • 7
    • 84974325255 scopus 로고
    • Random regular graphs: Asymptotic distributions and contiguity
    • S. Janson, Random regular graphs: Asymptotic distributions and contiguity, Combin Probab Comput 4 (1995), 369-405.
    • (1995) Combin Probab Comput , vol.4 , pp. 369-405
    • Janson, S.1
  • 9
    • 51249183478 scopus 로고
    • Automorphisms of random graphs with specified degrees
    • B.D. McKay and N.C. Wormald, Automorphisms of random graphs with specified degrees, Combinatorica 4 (1984), 325-338.
    • (1984) Combinatorica , vol.4 , pp. 325-338
    • McKay, B.D.1    Wormald, N.C.2
  • 11
    • 0041182109 scopus 로고
    • Existence of long cycles in random cubic graphs
    • D.M. Jackson and S.A. Vanstone, Ed, 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, Ed, Academic Press, Toronto, 1984, pp. 251-270.
    • (1984) Enumeration and Design , pp. 251-270
    • Robinson, R.W.1    Wormald, N.C.2
  • 12
    • 84990666040 scopus 로고
    • Almost all cubic graphs are Hamiltonian
    • R.W. Robinson and N.C. Wormald, Almost all cubic graphs are Hamiltonian, Random Struct Alg 3 (1992), 117-125.
    • (1992) Random Struct Alg , vol.3 , pp. 117-125
    • Robinson, R.W.1    Wormald, N.C.2
  • 13
    • 84990710889 scopus 로고
    • Almost all regular graphs are Hamiltonian
    • R.W. Robinson and N.C. Wormald, Almost all regular graphs are Hamiltonian, Random Struct Alg 5 (1994), 363-374.
    • (1994) Random Struct Alg , vol.5 , pp. 363-374
    • Robinson, R.W.1    Wormald, N.C.2
  • 14
    • 0039012702 scopus 로고
    • A simpler proof of the asymptotic formula for unlabelled r-regular graphs
    • N.C. Wormald, A simpler proof of the asymptotic formula for unlabelled r-regular graphs, Indian J Math 28 (1986), 43-47.
    • (1986) Indian J Math , vol.28 , pp. 43-47
    • Wormald, N.C.1
  • 15
    • 0000537111 scopus 로고    scopus 로고
    • Models of random regular graphs
    • N.C. Wormald, Models of random regular graphs, Surveys in Combinatorics, 1999, London Mathematical Society Lecture Note Series 267 J.D. Lamb and D.A. Preece, Eds, Cambridge University Press, Cambridge, 1999, pp. 239-298.
    • (1999) Surveys in Combinatorics
    • Wormald, N.C.1
  • 16
    • 0003395267 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • N.C. Wormald, Models of random regular graphs, Surveys in Combinatorics, 1999, London Mathematical Society Lecture Note Series 267 J.D. Lamb and D.A. Preece, Eds, Cambridge University Press, Cambridge, 1999, pp. 239-298.
    • (1999) London Mathematical Society Lecture Note Series , vol.267 , pp. 239-298
    • Lamb, J.D.1    Preece, D.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.