메뉴 건너뛰기




Volumn 71, Issue 2, 2005, Pages

Weight-driven growing networks

Author keywords

[No Author keywords available]

Indexed keywords

EMBEDDED PROBES; MICRORHEOLOGY; QUASIELASTIC LIGHT SCATTERING (QELS); VIDEO-BASED PARTICLE TRACKING;

EID: 41349123041     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.026103     Document Type: Article
Times cited : (55)

References (33)
  • 8
  • 9
    • 0042635247 scopus 로고    scopus 로고
    • M. E. J. Newman, Phys. Rev. E 64, 016131 (2001); 64, 016132 (2001).
    • (2001) Phys. Rev. E , vol.64 , pp. 016132
  • 11
    • 33646990071 scopus 로고    scopus 로고
    • R. Guimera, M. Sales-Pardo, and L. A. N. Amaral, e-print cond-mat/0312535
    • R. Guimera, M. Sales-Pardo, and L. A. N. Amaral, e-print cond-mat/0312535.
  • 17
    • 4243651913 scopus 로고
    • L. de Arcangelis, S. Redner, and A. Coniglio, Phys. Rev. B 31, 4725 (1985); 34, 4656 (1986).
    • (1986) Phys. Rev. B , vol.34 , pp. 4656
  • 19
    • 33646984250 scopus 로고    scopus 로고
    • M. E. J. Newman, e-print cond-mat/0407503
    • M. E. J. Newman, e-print cond-mat/0407503.
  • 20
    • 33646970665 scopus 로고    scopus 로고
    • E. Almaas, P. L. Krapivsky, and S. Redner, e-print cond-mat/ 0408295
    • E. Almaas, P. L. Krapivsky, and S. Redner, e-print cond-mat/ 0408295.
  • 24
    • 84856128869 scopus 로고    scopus 로고
    • P. J. Macdonald, E. Almaas, and A.-L. Barabási, e-print condmat/0405688
    • P. J. Macdonald, E. Almaas, and A.-L. Barabási, e-print condmat/0405688.
  • 26
    • 37649029636 scopus 로고    scopus 로고
    • A. Barrat, M. Barthélémy, and A. Vespignani, Phys. Rev. Lett. 92, 228701 (2004); Phys. Rev. E 70, 066149 (2004).
    • (2004) Phys. Rev. E , vol.70 , pp. 066149
  • 27
    • 33646987581 scopus 로고    scopus 로고
    • note
    • Negative weights are occasionally appropriate, e.g., they can represent animosity between individuals in a social network.
  • 28
    • 33646985242 scopus 로고    scopus 로고
    • note
    • (k-1)(w) via F(w), F(w -1),⋯, F(w-k+1). Since F(w) is continuous but not differentiable at w=1, the cumulative distribution is continuously differentiable k-1 times at w=k (implying that the weight distribution is continuously differentiable k-2 times).
  • 29
    • 0037111694 scopus 로고    scopus 로고
    • w(N) as the average values of the corresponding random variables is asymptotically exact when the weight is sufficiently small; see, e.g., P. L. Krapivsky and S. Redner, J. Phys. A 35, 9517 (2002) for the detailed analysis of these issues in the model where growth is governed by preferential attachment.
    • (2002) J. Phys. A , vol.35 , pp. 9517
    • Krapivsky, P.L.1    Redner, S.2
  • 30
    • 33646981836 scopus 로고    scopus 로고
    • note
    • -3 ln(w).
  • 31
    • 33646967887 scopus 로고    scopus 로고
    • note
    • The expected value for the sum of k independent identically distributed random variables taken from the exponential distribution is w=k; in the present case, the average weight of the node of large degree is (slightly) higher since the growth is weight-driven.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.