메뉴 건너뛰기




Volumn 54, Issue 1-2, 2011, Pages 449-459

Markov chain small-world model with asymmetry: A unified and multivariate perspective

Author keywords

Asymmetry; Markov chain; Mean first passage time; Multivariate reduction ratio; Small world

Indexed keywords

ASYMMETRY; MARKOV CHAIN; MEAN FIRST PASSAGE TIME; MULTIVARIATE REDUCTION RATIO; SMALL WORLDS;

EID: 79955483214     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2011.02.034     Document Type: Article
Times cited : (2)

References (24)
  • 2
    • 3242743000 scopus 로고    scopus 로고
    • Strong links are important, but weak links stabilize them
    • Csermely P. Strong links are important, but weak links stabilize them. Trends Biochem. Sci. 2004, 29:331-334.
    • (2004) Trends Biochem. Sci. , vol.29 , pp. 331-334
    • Csermely, P.1
  • 5
    • 57349138360 scopus 로고    scopus 로고
    • Markov chain small-world model with asymmetric transition probabilities
    • Xu J. Markov chain small-world model with asymmetric transition probabilities. Electron. J. Linear Algebra 2008, 17:616-636.
    • (2008) Electron. J. Linear Algebra , vol.17 , pp. 616-636
    • Xu, J.1
  • 6
    • 33847632050 scopus 로고    scopus 로고
    • A matrix perturbation view of the small world phenomenon
    • Higham D.J. A matrix perturbation view of the small world phenomenon. SIAM Rev. 2007, 49:91-108.
    • (2007) SIAM Rev. , vol.49 , pp. 91-108
    • Higham, D.J.1
  • 7
    • 77953129793 scopus 로고    scopus 로고
    • Simulating weighted, directed small-world networks
    • Xu J. Simulating weighted, directed small-world networks. Appl. Math. Comput. 2010, 216:2118-2128.
    • (2010) Appl. Math. Comput. , vol.216 , pp. 2118-2128
    • Xu, J.1
  • 9
    • 24944483669 scopus 로고    scopus 로고
    • Matrix analysis of a Markov chain small-world model
    • Catral M., Neumann M., Xu J. Matrix analysis of a Markov chain small-world model. Linear Algebra Appl. 2005, 409:126-146.
    • (2005) Linear Algebra Appl. , vol.409 , pp. 126-146
    • Catral, M.1    Neumann, M.2    Xu, J.3
  • 10
    • 0034599275 scopus 로고    scopus 로고
    • Mean-field solution of the small-world network model
    • Newman M.E.J., Moore C., Watts D.J. Mean-field solution of the small-world network model. Phys. Rev. Lett. 2000, 84:3201-3204.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 3201-3204
    • Newman, M.E.J.1    Moore, C.2    Watts, D.J.3
  • 11
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of "small-world" networks
    • Watts D.J., Strogatz S.H. Collective dynamics of "small-world" networks. Nature 1998, 393:440-442.
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 13
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • Newman M.E.J. The structure and function of complex networks. SIAM Rev. 2003, 45:167-256.
    • (2003) SIAM Rev. , vol.45 , pp. 167-256
    • Newman, M.E.J.1
  • 14
    • 0016534380 scopus 로고
    • The role of the group generalized inverse in the theory of finite Markov chains
    • Meyer C.D. The role of the group generalized inverse in the theory of finite Markov chains. SIAM Rev. 1975, 17:443-464.
    • (1975) SIAM Rev. , vol.17 , pp. 443-464
    • Meyer, C.D.1
  • 15
    • 0034375401 scopus 로고    scopus 로고
    • Markov chain sensitivity measured by mean first passage times
    • Cho G.E., Meyer C.D. Markov chain sensitivity measured by mean first passage times. Linear Algebra Appl. 2000, 316:21-28.
    • (2000) Linear Algebra Appl. , vol.316 , pp. 21-28
    • Cho, G.E.1    Meyer, C.D.2
  • 16
    • 79955479958 scopus 로고
    • Perturbations and eigenvectors: essays, Ph.D. Thesis, University of Groningen, The Netherlands
    • E. Dietzenbacher, Perturbations and eigenvectors: essays, Ph.D. Thesis, University of Groningen, The Netherlands, 1990.
    • (1990)
    • Dietzenbacher, E.1
  • 17
    • 0035826155 scopus 로고    scopus 로고
    • Exploring complex networks
    • Strogatz S.H. Exploring complex networks. Nature 2001, 410:268-276.
    • (2001) Nature , vol.410 , pp. 268-276
    • Strogatz, S.H.1
  • 19
    • 1542288938 scopus 로고    scopus 로고
    • Global organization of metabolic fluxes in the bacterium Escherichia coli
    • Almaas E., Kovács B., Vicsek T., Oltvai Z.N., Barabási A.-L. Global organization of metabolic fluxes in the bacterium Escherichia coli. Nature 2004, 427:839-843.
    • (2004) Nature , vol.427 , pp. 839-843
    • Almaas, E.1    Kovács, B.2    Vicsek, T.3    Oltvai, Z.N.4    Barabási, A.-L.5
  • 23
    • 77953401263 scopus 로고    scopus 로고
    • Anomalous behavior of trapping on a fractal scale-free network
    • Zhang Z., Xie W., Zhou S., Gao S., Guan J. Anomalous behavior of trapping on a fractal scale-free network. Europhys. Lett. 2009, 88:10001.
    • (2009) Europhys. Lett. , vol.88 , pp. 10001
    • Zhang, Z.1    Xie, W.2    Zhou, S.3    Gao, S.4    Guan, J.5
  • 24
    • 34248165048 scopus 로고    scopus 로고
    • Self-similarity, small-world, scale-free scaling, disassortativity, and robustness in hierarchical lattices
    • Zhang Z.-Z., Zhou S.-G., Zou T. Self-similarity, small-world, scale-free scaling, disassortativity, and robustness in hierarchical lattices. Eur. Phys. J. B 2007, 56:259-271.
    • (2007) Eur. Phys. J. B , vol.56 , pp. 259-271
    • Zhang, Z.-Z.1    Zhou, S.-G.2    Zou, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.