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Volumn 39, Issue 4, 2007, Pages 922-948

Graphs with specified degree distributions, simple epidemics, and local vaccination strategies

Author keywords

Degree distribution; Epidemic model; Final size; Limit theorem; Networks; Random graph; Vaccination

Indexed keywords

ASYMPTOTIC ANALYSIS; GRAPH THEORY; MATHEMATICAL MODELS; PROBABILITY;

EID: 39649095169     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1198177233     Document Type: Article
Times cited : (82)

References (20)
  • 1
    • 0001373770 scopus 로고    scopus 로고
    • Epidemic models and social networks
    • ANDERSSON, H. (1999). Epidemic models and social networks. Math. Scientist 24, 128-147.
    • (1999) Math. Scientist , vol.24 , pp. 128-147
    • ANDERSSON, H.1
  • 2
    • 0011481308 scopus 로고    scopus 로고
    • Stochastic Epidemic Models and Their Statistical Analysis
    • Springer, New York
    • ANDERSSON, H. AND BRITTON, T. (2000). Stochastic Epidemic Models and Their Statistical Analysis (Lecture Notes Statist. 151). Springer, New York.
    • (2000) Lecture Notes Statist , vol.151
    • ANDERSSON, H.1    BRITTON, T.2
  • 4
    • 11944253901 scopus 로고    scopus 로고
    • 2nd edn. Cambridge University Press
    • BOLLOBÁS, B. (2001). Random Graphs, 2nd edn. Cambridge University Press.
    • (2001) Random Graphs
    • BOLLOBÁS, B.1
  • 6
    • 33750091606 scopus 로고    scopus 로고
    • Generating simple random graphs with prescribed degree distribution
    • BRITTON, T., DEIJFEN, M. AND MARTIN-LÖF, A. (2006). Generating simple random graphs with prescribed degree distribution. J. Statist. Phys. 124, 1377-1397.
    • (2006) J. Statist. Phys , vol.124 , pp. 1377-1397
    • BRITTON, T.1    DEIJFEN, M.2    MARTIN-LÖF, A.3
  • 7
    • 0942268259 scopus 로고    scopus 로고
    • Efficient immunization strategies for computer networks and populations
    • COHEN, R. HAVLIN, S. AND BEN-AVRAHAN, D. (2003). Efficient immunization strategies for computer networks and populations. Phys. Rev. Lett. 91, 247901.
    • (2003) Phys. Rev. Lett , vol.91 , pp. 247901
    • COHEN, R.1    HAVLIN, S.2    BEN-AVRAHAN, D.3
  • 10
    • 39649094378 scopus 로고    scopus 로고
    • Asymptotic equivalence and contiguity of some random graphs
    • In preparation
    • JANSON, S. (2007). Asymptotic equivalence and contiguity of some random graphs. In preparation.
    • (2007)
    • JANSON, S.1
  • 14
    • 39649090160 scopus 로고    scopus 로고
    • McKAY, B. D. (1985). Asymptotics for symmetric 0-1 matrices with prescribed row sums. Ars Combin. 19, 15-25.
    • McKAY, B. D. (1985). Asymptotics for symmetric 0-1 matrices with prescribed row sums. Ars Combin. 19, 15-25.
  • 15
    • 84990671447 scopus 로고
    • A critical point for random graphs with a given degree sequence
    • MOLLOY, M. AND REED, B. (1995). A critical point for random graphs with a given degree sequence. Random Structures Algorithms 6, 161-179.
    • (1995) Random Structures Algorithms , vol.6 , pp. 161-179
    • MOLLOY, M.1    REED, B.2
  • 16
    • 0032286776 scopus 로고    scopus 로고
    • The size of the giant component of a random graph with a given degree sequence
    • MOLLOY, M. AND REED, B. (1998). The size of the giant component of a random graph with a given degree sequence. Combin. Prob. Comput. 7, 295-305.
    • (1998) Combin. Prob. Comput , vol.7 , pp. 295-305
    • MOLLOY, M.1    REED, B.2
  • 17
    • 0034186340 scopus 로고    scopus 로고
    • Epidemics and percolation in small world networks
    • MOORE, C. AND NEWMAN, M. E. J. (2000). Epidemics and percolation in small world networks. Phys. Rev. E 61, 5678-5682.
    • (2000) Phys. Rev. E , vol.61 , pp. 5678-5682
    • MOORE, C.1    NEWMAN, M.E.J.2
  • 18
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • NEWMAN, M. E. J. (2003). The structure and function of complex networks. SIAM Rev. 45, 167-256.
    • (2003) SIAM Rev , vol.45 , pp. 167-256
    • NEWMAN, M.E.J.1
  • 19
    • 0035420732 scopus 로고    scopus 로고
    • Random graphs with arbitrary degree distributions and their applications
    • NEWMAN, M. E. J., STROGATZ, S. H. AND WATTS, J. (2001). Random graphs with arbitrary degree distributions and their applications. Phys. Rev. E 64, 026118.
    • (2001) Phys. Rev. E , vol.64 , pp. 026118
    • NEWMAN, M.E.J.1    STROGATZ, S.H.2    WATTS, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.