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Power law and small world properties in a comparison of traffic city networks
Authors:Ke Ma  ZhongWen Wang  Jian Jiang  GuangXi Zhu and Wei Li
Institution:[1]Department of Physics, College of Maths and Physics, China University ofGeosciences, Wuhan 430074, China [2]Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China [3]Department of Mathematics, Kashgar Teachers College, Kashgar 844006, China [4]Institut Superieur des Materiaux du Mans, 44, Avenue F.A. Bartholdi, 72000 Le Mans, France [5]Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
Abstract:We analyze the statistical properties of the urban public bus networks of two cities (Beijing and Chengdu) in China. To this end, we present a comprehensive survey of the degree distribution, average path length, and clustering of both networks. It is shown that both networks exhibit small world behavior and are hierarchically organized. We also discuss the differences between the statistical properties displayed by the two networks. In addition, we propose a weight distribution approach to study the passenger flow through the public bus networks we considered. A hierarchical structure is observed here also.
Keywords:public transport network  complex network  power-law distribution  small-world
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