Article

The European Physical Journal B - Condensed Matter and Complex Systems

, Volume 38, Issue 2, pp 373-380

First online:

Community analysis in social networks

  • A. ArenasAffiliated withDepartament d’Enginyeria Informática i Matemátiques, Universitat Rovira i Virgili
  • , L. DanonAffiliated withDepartment de Física Fonamental, Universitat de Barcelona
  • , A. Díaz-GuileraAffiliated withDepartment de Física Fonamental, Universitat de Barcelona Email author 
  • , P. M. GleiserAffiliated withDepartment de Física Fonamental, Universitat de Barcelona
  • , R. GuimeráAffiliated withDepartment of Chemical Engineering, Northwestern University

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Abstract.

We present an empirical study of different social networks obtained from digital repositories. Our analysis reveals the community structure and provides a useful visualising technique. We investigate the scaling properties of the community size distribution, and find that all the networks exhibit power law scaling in the community size distributions with exponent either -0.5 or -1. Finally we find that the networks’ community structure is topologically self-similar using the Horton-Strahler index.