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Diffusion approach for community discovering within the complex networks: LiveJournal study

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  • Zakharov, Pavel

Abstract

The diffusion approach of concentration mapping is used to discover communities in the directional friendship network of LiveJournal users. We show that this Internet-based social network has a power-law region in degree distribution with exponent γ=3.45. It is also a small-world network with high clustering of nodes. To study the community structure we simulate diffusion of a virtual substance immersed in such a network as in a multi-dimensional porous system. By analyzing concentration profiles at intermediate stage of the diffusion process the well-interconnected cliques of users can be identified as nodes with equal values of concentration.

Suggested Citation

  • Zakharov, Pavel, 2007. "Diffusion approach for community discovering within the complex networks: LiveJournal study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 550-560.
    • Handle: RePEc:eee:phsmap:v:378:y:2007:i:2:p:550-560
    DOI: 10.1016/j.physa.2006.11.086
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    References listed on IDEAS

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    1. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
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    Cited by:

    1. Olessia Y. Koltsova & Sergei N. Koltcov & Sergey I. Nikolenko, 2013. "Comment-based discussion communities In the Russian livejournal and their topical coherence," HSE Working papers WP BRP 33/SOC/2013, National Research University Higher School of Economics.
    2. Ying Li & Hongduo Cao & Ying Zhang & Beibei Li, 2018. "Characteristics of Human Behavior in an Online Society," SAGE Open, , vol. 8(2), pages 21582440187, May.

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