메뉴 건너뛰기




Volumn 18, Issue 2, 2008, Pages 359-378

Thresholds for virus spread on networks

Author keywords

Epidemic threshold; Giant component; Random graphs; Reed frost epidemic; Spectral radius

Indexed keywords


EID: 48849111795     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/07-AAP470     Document Type: Article
Times cited : (97)

References (26)
  • 1
    • 52949124319 scopus 로고    scopus 로고
    • ALON, N. and SPENCER, J. H. (2000). The Probabilistic Method. Wiley, New York. MR1885388
    • ALON, N. and SPENCER, J. H. (2000). The Probabilistic Method. Wiley, New York. MR1885388
  • 2
    • 0010707667 scopus 로고
    • A threshold theorem for the Reed-Frost chain-binomial epidemic
    • MR0688089
    • BALL, F. (1983). A threshold theorem for the Reed-Frost chain-binomial epidemic. J. Appl. Probab. 20 153-157. MR0688089
    • (1983) J. Appl. Probab , vol.20 , pp. 153-157
    • BALL, F.1
  • 3
    • 0031285152 scopus 로고    scopus 로고
    • Epidemics with two levels of mixing
    • MR 1428749
    • BALL, F., MOLLISON, D. and SCALIA-T OMBA, G. (1997). Epidemics with two levels of mixing. Ann. Appl. Probab. 7 46-89. MR 1428749
    • (1997) Ann. Appl. Probab , vol.7 , pp. 46-89
    • BALL, F.1    MOLLISON, D.2    SCALIA-T3    OMBA, G.4
  • 4
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • MR2091634
    • BARABÁSI, A.-L. and ALBERT, R. (1999). Emergence of scaling in random networks. Science 286 509-512. MR2091634
    • (1999) Science , vol.286 , pp. 509-512
    • BARABÁSI, A.-L.1    ALBERT, R.2
  • 5
    • 4544345134 scopus 로고    scopus 로고
    • Approximating the Reed-Frost epidemic process
    • MR2087957
    • BARBOUR, A. D. and UTEV, S. (2004). Approximating the Reed-Frost epidemic process. Stock Proc. Appl. 113 173-197. MR2087957
    • (2004) Stock Proc. Appl , vol.113 , pp. 173-197
    • BARBOUR, A.D.1    UTEV, S.2
  • 6
    • 52949132514 scopus 로고    scopus 로고
    • BOLLOBÁS, B. (2001). Random Graphs. Cambridge Univ. Press. MR 1864966
    • BOLLOBÁS, B. (2001). Random Graphs. Cambridge Univ. Press. MR 1864966
  • 8
    • 2542530739 scopus 로고    scopus 로고
    • The diameter of a scale-free random graph
    • MR2057681
    • BOLLOBÁS, B. and RIORDAN, O. (2004). The diameter of a scale-free random graph. Combinatorica 4 5-34. MR2057681
    • (2004) Combinatorica , vol.4 , pp. 5-34
    • BOLLOBÁS, B.1    RIORDAN, O.2
  • 10
    • 0038763983 scopus 로고    scopus 로고
    • Connected components in random graphs with given degree sequences
    • MR1955514
    • CHUNG, F. and LU, L. (2002). Connected components in random graphs with given degree sequences. Ann. Combinatorics 6 125-145. MR1955514
    • (2002) Ann. Combinatorics , vol.6 , pp. 125-145
    • CHUNG, F.1    LU, L.2
  • 11
    • 84906264352 scopus 로고    scopus 로고
    • The average distances in random graphs with given expected degrees
    • MR2076728
    • CHUNG, F. and LU, L. (2003). The average distances in random graphs with given expected degrees. Internet Math. 1 91-114. MR2076728
    • (2003) Internet Math , vol.1 , pp. 91-114
    • CHUNG, F.1    LU, L.2
  • 12
    • 0038087282 scopus 로고    scopus 로고
    • Eigenvalues of random power law graphs
    • MR1984643
    • CHUNG, F., LU, L. and VU, V. (2003). Eigenvalues of random power law graphs. Ann. Combinatorics 7 21-33. MR1984643
    • (2003) Ann. Combinatorics , vol.7 , pp. 21-33
    • CHUNG, F.1    LU, L.2    VU, V.3
  • 14
    • 52949091060 scopus 로고    scopus 로고
    • ERDOS, P. and RENYI, A. (1960). On the evolution of random graphs. Mat Kutato Int. Közl 5 17-60. MR0125031
    • ERDOS, P. and RENYI, A. (1960). On the evolution of random graphs. Mat Kutato Int. Közl 5 17-60. MR0125031
  • 17
    • 52949119082 scopus 로고    scopus 로고
    • JANSON, S., LUCZAK, T. and RUCIÑSKI, A. (2000). Random Graphs. Wiley, New York. MR1782847
    • JANSON, S., LUCZAK, T. and RUCIÑSKI, A. (2000). Random Graphs. Wiley, New York. MR1782847
  • 18
    • 0000998185 scopus 로고
    • A contribution to the mathematical theory of epidemics
    • KERMACK, W. O. and MCKENDRICK, A. G. (1927). A contribution to the mathematical theory of epidemics. Proc. Roy. Soc. Lond. A 115 700-721.
    • (1927) Proc. Roy. Soc. Lond. A , vol.115 , pp. 700-721
    • KERMACK, W.O.1    MCKENDRICK, A.G.2
  • 19
    • 0001107279 scopus 로고
    • Poisson approximation for the final state of a generalized epidemic process
    • MR1349165
    • LEFEVRE, C. and UTEV, S. (1995). Poisson approximation for the final state of a generalized epidemic process. Ann. Probab. 23 1139-1162. MR1349165
    • (1995) Ann. Probab , vol.23 , pp. 1139-1162
    • LEFEVRE, C.1    UTEV, S.2
  • 20
    • 33645156020 scopus 로고    scopus 로고
    • Limits of dense graph sequences
    • Technical Report TR-2004-79, Microsoft Research
    • LOVÁSZ, L. and SZEGEDY, B. (2004). Limits of dense graph sequences. Technical Report TR-2004-79, Microsoft Research.
    • (2004)
    • LOVÁSZ, L.1    SZEGEDY, B.2
  • 21
    • 84990671447 scopus 로고
    • A critical point for random graphs with a given degree sequence
    • MR1370952
    • MOLLOY, M. and REED, B. A. (1995). A critical point for random graphs with a given degree sequence. Random Structures Algorithms 6 161-180. MR1370952
    • (1995) Random Structures Algorithms , vol.6 , pp. 161-180
    • MOLLOY, M.1    REED, B.A.2
  • 22
    • 0032286776 scopus 로고    scopus 로고
    • The size of the largest component of a random graph on a fixed degree sequence
    • MR1664335
    • MOLLOY, M. and REED, B. A. (1998). The size of the largest component of a random graph on a fixed degree sequence. Combin. Probab. Comput. 7 295-306. MR1664335
    • (1998) Combin. Probab. Comput , vol.7 , pp. 295-306
    • MOLLOY, M.1    REED, B.A.2
  • 23
    • 0035794256 scopus 로고    scopus 로고
    • Epidemic spreading in scale-free networks
    • PASTOR-SATORRAS, R. and VESPIGNANI, A. (2001). Epidemic spreading in scale-free networks. Phys. Rev. Lett. 86 3200-3203.
    • (2001) Phys. Rev. Lett , vol.86 , pp. 3200-3203
    • PASTOR-SATORRAS, R.1    VESPIGNANI, A.2
  • 24
    • 41349112686 scopus 로고    scopus 로고
    • Epidemic dynamics in finite scale-free networks
    • PASTOR-SATORRAS, R. and VESPIGNANI, A. (2002). Epidemic dynamics in finite scale-free networks. Phys. Rev. E 65.
    • (2002) Phys. Rev. E , vol.65
    • PASTOR-SATORRAS, R.1    VESPIGNANI, A.2
  • 26
    • 84948951525 scopus 로고    scopus 로고
    • Throttling viruses: Restricting propagation to defeat malicious mobile code
    • IEEE Comput. Soc, Washington
    • WILLIAMSON, M. M. (2002). Throttling viruses: Restricting propagation to defeat malicious mobile code. In Proc. 18th Annual Computer Security Applications Conference 1-61. IEEE Comput. Soc., Washington.
    • (2002) Proc. 18th Annual Computer Security Applications Conference , pp. 1-61
    • WILLIAMSON, M.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.