Detecting and describing the modular structures of weighted networks

• 来源期刊: 中国物理（英文版）
• 关键词: weighted networks modular structure railway network
• 年，卷（期）: 2007,（8）
• 页码范围: 2304-2309
• 页数: 6页
• 语种: 英文

摘要

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.