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Detecting and describing the modular structures of weighted networks

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In the functional properties of complex networks, modules play a central role.In this paper,we propose a new method to detect and describe the modular structures of weighted networks. In order to test the proposed method, as an example, we use our method to analyse the structural properties of the Chinese railway network. Here, the stations are regarded as the nodes and the track sections are regarded as the links. Rigorous analysis of the existing data shows that using the proposed algorithm, the nodes of network can be classified naturally. Moreover, there are several core nodes in each module. Remarkably, we introduce the correlation function Grs, and use it to distinguish the different modules in weighted networks.

weighted networksmodular structurerailway network

Li Ke-Ping、Gao Zi-You

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State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China

国家重点基础研究发展计划(973计划)国家自然科学基金教育部跨世纪优秀人才培养计划教育部重点计划项目

2006CB70550060634010NCET-06-0074107007

2007

中国物理B(英文版)
中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDCSCD
影响因子:0.995
ISSN:1674-1056
年,卷(期):2007.16(8)
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