메뉴 건너뛰기




Volumn 11, Issue 3, 2002, Pages 249-261

Random regular graphs of non-constant degree: Connectivity and Hamiltonicity

Author keywords

[No Author keywords available]

Indexed keywords

HAMILTONIANS; MATHEMATICAL MODELS; PROBABILITY; RANDOM PROCESSES; SET THEORY;

EID: 0036016678     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548301005090     Document Type: Article
Times cited : (36)

References (22)
  • 2
    • 0000664045 scopus 로고
    • The asymptotic number of labelled graphs with given degree sequences
    • Bender, E. A. and Canfield, E. R. (1978) The asymptotic number of labelled graphs with given degree sequences. J. Combin. Theory Ser. A 24 296-307.
    • (1978) J. Combin. Theory Ser. A , vol.24 , pp. 296-307
    • Bender, E.A.1    Canfield, E.R.2
  • 3
    • 85012603843 scopus 로고
    • A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
    • Bollobás, B. (1980) A probabilistic proof of an asymptotic formula for the number of labelled regular graphs. Europ. J. Combin. 1 311-316.
    • (1980) Europ. J. Combin. , vol.1 , pp. 311-316
    • Bollobás, B.1
  • 4
    • 0012823585 scopus 로고
    • Random graphs
    • (H. N. V. Temperley, ed.), Vol. 52 of LMS Lecture Note Series, Cambridge University Press, Cambridge
    • Bollobás, B. (1981) Random graphs. In Combinatorics (H. N. V. Temperley, ed.), Vol. 52 of LMS Lecture Note Series, Cambridge University Press, Cambridge, 80-102.
    • (1981) Combinatorics , pp. 80-102
    • Bollobás, B.1
  • 5
    • 85012809279 scopus 로고
    • Almost all regular graphs are Hamiltonian
    • Bollobás, B. (1983) Almost all regular graphs are Hamiltonian. Europ. J. Combin. 4 97-106.
    • (1983) Europ. J. Combin. , vol.4 , pp. 97-106
    • Bollobás, B.1
  • 8
    • 0001560222 scopus 로고
    • Hamiltonian cycles in random regular graphs
    • Fenner, T. I. and Frieze, A. M. (1984) Hamiltonian cycles in random regular graphs. J. Combin. Theory Ser. B 37 103-112.
    • (1984) J. Combin. Theory Ser. B , vol.37 , pp. 103-112
    • Fenner, T.I.1    Frieze, A.M.2
  • 9
    • 0039663043 scopus 로고
    • Random regular graphs of non-constant degree
    • Technical Report, Department of Mathematical Sciences, Carnegie Mellon University
    • Frieze, A. M. (1988) Random regular graphs of non-constant degree. Technical Report, Department of Mathematical Sciences, Carnegie Mellon University.
    • (1988)
    • Frieze, A.M.1
  • 10
    • 38249032705 scopus 로고
    • Finding Hamilton cycles in sparse random graphs
    • Frieze, A. M. (1988) Finding Hamilton cycles in sparse random graphs. J. Combin. Theory Ser. B 44 230-250.
    • (1988) J. Combin. Theory Ser. B , vol.44 , pp. 230-250
    • Frieze, A.M.1
  • 11
    • 38049062997 scopus 로고
    • On the independence and chromatic numbers of random regular graphs
    • Frieze, A. M. and Łuczak, T. (1992) On the independence and chromatic numbers of random regular graphs. J. Combin. Theory Ser. B 54 123-132.
    • (1992) J. Combin. Theory Ser. B , vol.54 , pp. 123-132
    • Frieze, A.M.1    Luczak, T.2
  • 15
    • 0001622847 scopus 로고
    • Sparse random graphs with a given degree sequence
    • (A. M. Frieze and T. Ł, eds), Wiley, New York
    • Łuczak, T. (1992) Sparse random graphs with a given degree sequence. In Random Graphs, Vol. 2 (A. M. Frieze and T. Ł, eds), Wiley, New York, 165-182.
    • (1992) Random Graphs , vol.2 , pp. 165-182
    • Luczak, T.1
  • 16
    • 0002767066 scopus 로고
    • Asymptotics for symmetric 0-1 matrices with prescribed row sums
    • McKay, B. D. (1985) Asymptotics for symmetric 0-1 matrices with prescribed row sums. Ars Combinatoria 19A 15-25.
    • (1985) Ars Combinatoria , vol.19 A , pp. 15-25
    • McKay, B.D.1
  • 18
    • 84996454498 scopus 로고
    • Asymptotic enumeration by degree sequence of graphs of high degree
    • McKay, B. D. and Wormald, N. C. (1990) Asymptotic enumeration by degree sequence of graphs of high degree. Europ. J. Combin. 11 565-580.
    • (1990) Europ. J. Combin. , vol.11 , pp. 565-580
    • McKay, B.D.1    Wormald, N.C.2
  • 19
    • 0000229634 scopus 로고
    • Hamilton circuits in random graphs
    • Pósa, L. (1976) Hamilton circuits in random graphs. Discrete Math. 14 359-364.
    • (1976) Discrete Math. , vol.14 , pp. 359-364
    • Pósa, L.1
  • 20
    • 84990666040 scopus 로고
    • Almost all cubic graphs are Hamiltonian
    • Robinson, R. W. and Wormald, N. C. (1992) Almost all cubic graphs are Hamiltonian. Random Struct. Alg. 3 117-126.
    • (1992) Random Struct. Alg. , vol.3 , pp. 117-126
    • Robinson, R.W.1    Wormald, N.C.2
  • 21
    • 84990710889 scopus 로고
    • Almost all regular graphs are Hamiltonian
    • Robinson, R. W. and Wormald, N. C. (1994) Almost all regular graphs are Hamiltonian. Random Struct. Alg. 5 363-374.
    • (1994) Random Struct. Alg. , vol.5 , pp. 363-374
    • Robinson, R.W.1    Wormald, N.C.2
  • 22
    • 0000537111 scopus 로고    scopus 로고
    • Models of random regular graphs
    • (J. D. Lamb and D. A. Preece, eds). Vol. 267 of LMS Lecture Note Series, Cambridge University Press, Cambridge
    • Wormald, N. C. (1999) Models of random regular graphs. In Surveys in Combinatories. Proceedings of the 1999 British Combinatorial Conference (J. D. Lamb and D. A. Preece, eds). Vol. 267 of LMS Lecture Note Series, Cambridge University Press, Cambridge, 239-298.
    • (1999) Surveys in Combinatories. Proceedings of the 1999 British Combinatorial Conference , pp. 239-298
    • Wormald, N.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.