Wu Jian-Jun(吴建军)a)b)†, Gao Zi-You(高自友)a)b)‡, and Sun Hui-Jun(孙会君)a)b)
a State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China; b School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
Abstract In this paper, a simple model for the strength dynamics of weighted evolving networks is proposed to characterize the weighted networks. By considering the congestion effects, this approach can yield power law strength distribution appeared on the many real weighted networks, such as traffic networks, internet networks. Besides, the relationship between strength and degree is given. Numerical simulations indicate that the strength distribution is strongly related to the strength dynamics decline. The model also provides us with a better description of the real weighted networks.
Received: 09 January 2006
Revised: 12 May 2006
Accepted manuscript online:
PACS:
05.10.-a
(Computational methods in statistical physics and nonlinear dynamics)
(Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)
Fund: roject supported by the
National Outstanding Young Investigator of China (Grant No 70225005),
and the National Natural Science Foundation of China (Grant Nos
70501005 and 70501004), and the Natural Science Foundation of
Beijing (Grant No 9042006), the In
Cite this article:
Wu Jian-Jun(吴建军), Gao Zi-You(高自友), and Sun Hui-Jun(孙会君) Strength dynamics of weighted evolving networks 2007 Chinese Physics 16 47
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