Volume 3, Issue 3
Spatial Correlation Function in Modular Networks

Ke Ping Li and Zi You Gao

Commun. Comput. Phys., 3 (2008), pp. 724-733.

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  • Abstract

Due to the complexity of the interactions among the nodes of the complex networks, the propertiesof thenetwork modules, toalargeextent, remainunknown or unexplored. In this paper, we introduce the spatial correlation function Grs to describe the correlations among the modules of the weighted networks. In order to test the proposedmethod, weuseourmethodtoanalyzeanddiscussthemodularstructuresofthe ER random networks, scale-free networks and the Chinese railway network. Rigorous analysis of the existing data shows that the spatial correlation function Grs is suitable for describingthe correlationsamong differentnetwork modules. Remarkably,we find that different networks display different correlations, especially, the correlation function Grs with different networks meets different degree distribution, such as the linear and exponential distributions.

  • History

Published online: 2008-03

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