Abstract 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 $G_{rs}$, and use it to distinguish the different modules in weighted networks.
Received: 14 November 2006
Revised: 28 December 2006
Accepted manuscript online:
Fund: Project supported by the National
Basic Research Program of China (Grant No 2006CB705500), the
National Natural Science Foundation of China (Grant No 60634010),
New Century Excellent Talents in University (Grant No NCET-06-0074)
and the Key Project of Chi
Cite this article:
Li Ke-Ping(李克平) and Gao Zi-You(高自友) Detecting and describing the modular structures of weighted networks 2007 Chinese Physics 16 2304
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