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Volumn 11, Issue 4, 2002, Pages 323-341

Random regular graphs of non-constant degree: Independence and chromatic number

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; GRAPH THEORY; NUMBER THEORY; OPTIMIZATION; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; SET THEORY;

EID: 0035993132     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548302005254     Document Type: Article
Times cited : (21)

References (15)
  • 1
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    • 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 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
    • Bollobá, B. (1980) A probabilistic proof of an asymptotic formula for the number of labelled regular graphs. Europ. J. Combin. 311-316.
    • (1980) Europ. J. Combin. , vol.1 , pp. 311-316
    • Bollobá, B.1
  • 3
    • 0036016678 scopus 로고    scopus 로고
    • Random regular graphs of non-constant degree: Connectivity and hamiltonicity
    • Cooper, C. D., Frieze, A. M. and Reed, B. A. (2002) Random regular graphs of non-constant degree: Connectivity and Hamiltonicity. Combin. Probab. Comput. 11 249-261.
    • (2002) Combin. Probab. Comput. , vol.11 , pp. 249-261
    • Cooper, C.D.1    Frieze, A.M.2    Reed, B.A.3
  • 4
    • 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
  • 5
    • 0000622849 scopus 로고
    • On the independence number of a random graph
    • Frieze, A. M. (1990) On the independence number of a random graph. Discrete Math. 81 171-176.
    • (1990) Discrete Math. , vol.81 , pp. 171-176
    • Frieze, A.M.1
  • 6
    • 38049062997 scopus 로고
    • On the independence and chromatic numbers of random regular graphs
    • Frieze, A. M. and Luczak, 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
  • 7
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • Hoeffding, W. (1963) Probability inequalities for sums of bounded random variables. J. Amer. Statist. Assoc. 58 13-30.
    • (1963) J. Amer. Statist. Assoc. , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 11
    • 34249925281 scopus 로고
    • The chromatic number of random graphs
    • Luczak, T. (1991) The chromatic number of random graphs. Combinatorica 11 45-54.
    • (1991) Combinatorica , vol.11 , pp. 45-54
    • Luczak, T.1
  • 12
    • 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
  • 14
    • 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
  • 15
    • 0000537111 scopus 로고    scopus 로고
    • Models of random regular graphs
    • (J. D. Lamb and D. A. Preece, eds), Vol. 267 of London Mathematical Society Lecture Notes, Cambridge University Press
    • Wormald, N. C. (1999) Models of random regular graphs. In Surveys in Combinatorics: Proc. 1999 British Combinatorial Conference (J. D. Lamb and D. A. Preece, eds), Vol. 267 of London Mathematical Society Lecture Notes, Cambridge University Press, pp. 239-298.
    • (1999) Surveys in Combinatorics: Proc. 1999 British Combinatorial Conference , pp. 239-298
    • Wormald, N.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.