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Community Structure and Diffusion Dynamics on Networks

  • Hua-Wei Shen
Part of the Springer Theses book series (Springer Theses)

Abstract

As two main focuses of the study of complex networks, the community structure and the dynamics on networks have both attracted much attention in various scientific fields. However, it is still an open question how the community structure is associated with the dynamics on complex networks. In this chapter, we study the community structure associated with network dynamics by investigating the diffusion process on networks. We find that the intrinsic community structure of networks can be revealed by the stable local equilibrium states of the diffusion process. Furthermore, we show that the spectrum of network plays critical roles at bridging the community structure and the dynamics on networks. We compare the spectrum of different matrices at detecting community structure associated with network dynamics. This chapter provides insights into the multiple topological scales of networks, and the community structure obtained can naturally reflect the diffusion capability of the underlying network.

Keywords

Adjacency Matrix Node Degree Community Detection Normalize Mutual Information Laplacian Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Hua-Wei Shen
    • 1
  1. 1.Institute of Computing TechnologyChinese Academy of SciencesBeijingChina

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