The network model of urban subway networks with community structure
Ding Yi-Min1 , Ding Zhuo2 , Yang Chang-Ping1
1. Faculty of Physics and Electronic, Hubei University, Wuhan 430062, China;
Abstract In this paper, we present the empirical investigation results for the urban subway networks in China. The results show that all the urban subway networks have high clustering coefficient and small character path length, which exhibit a small-world behavior, the degree distributions take multiplicative exponential function forms. Otherwise, these networks are hierarchically organized by overlapping cliques, which are all the globally coupled networks. To explain these results, we introduce a network model, which is in good agreement with the empirical results; in addition, this model can explain the evolutionary procedure of other networks, such as the urban bus transport networks or the film actor networks.
Key words ：
complex networks
urban subway network
small-world
community
Received: 2012-07-30
PACS:
89.75.Hc
(Networks and genealogical trees)
89.75.-k
(Complex systems)
02.50.-r
(Probability theory, stochastic processes, and statistics)
05.10.-a
(Computational methods in statistical physics and nonlinear dynamics)
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11074067).
Corresponding Authors:
丁益民
E-mail: dymhubu@sina.com
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