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

Pavel Zakharov

Physica A: Statistical Mechanics and its Applications, 2007, vol. 378, issue 2, 550-560

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.

Keywords: Social networks; Scale-free networks; Community structure; Diffusion (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:378:y:2007:i:2:p:550-560

DOI: 10.1016/j.physa.2006.11.086

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