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Peer-to-Peer Networking and Applications

, Volume 10, Issue 2, pp 411–420 | Cite as

Finding overlapping communities based on Markov chain and link clustering

  • Xiaoheng Deng
  • Genghao Li
  • Mianxiong Dong
  • Kaoru Ota
Article

Abstract

Since community structure is an important feature of complex network, the study of community detection has attracted more and more attention in recent years. Despite most researchers focus on identifying disjoint communities, communities in many real networks often overlap. In this paper, we proposed a novel MCLC algorithm to discover overlapping communities, which using random walk on the line graph and attraction intensity. Unlike traditional random walk starting from a node, our random walk starts from a link. First we transform an undirected network graph to a weighted line graph, and then random walks on this line graph can be associated with a Markov chain. By calculating the transition probability of the Markov chain, we obtain the similarity between link pairs. Next the links can be clustered into “link communities” by a linkage method, and these nodes between link communities can be overlapping nodes. When converting the “link communities” into the “node communities”, we make a definition of attraction intensity to control the overlapping size. Finally the detected communities are permitted overlapped. Experiments on synthetic networks and some real world networks validate the effectiveness and efficiency of the proposed algorithm. Comparing overlapping modularity Q o v with other related algorithms, the results of this algorithm are satisfactory.

Keywords

Community detection Random walk Link community Overlapping community 

Notes

Acknowledgments

The author gratefully acknowledges support from National Natural Science Foundation of China projects of grant No. 61272149, 61379058, 61379057, 61350011, JSPS A3 Foresight Program, and JSPS KAKENHI Grant Number 26730056, 15K15976.

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Xiaoheng Deng
    • 1
  • Genghao Li
    • 1
  • Mianxiong Dong
    • 2
  • Kaoru Ota
    • 2
  1. 1.School of Information Science & EngineeringCentral South UniversityChangshaChina
  2. 2.Department of Information and Electronic EngineeringMuroran Institute of TechnologyMuroranJapan

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