https://doi.org/10.1140/epjb/e2004-00130-1
Community analysis in social networks
1
Departament d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Avda. dels Paisos Catalans, 43006 Tarragona, Spain
2
Department de Física Fonamental, Universitat de Barcelona, Martí i Franquès 1,
08028 Barcelona, Spain
3
Department of Chemical Engineering, Northwestern University, Evanston, IL, USA
Corresponding author: a albert.diaz@ub.edu
Received:
3
November
2003
Published online:
14
May
2004
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.
PACS: 89.75.Fb – Structures and organization in complex systems / 89.75.Da – Systems obeying scaling laws / 89.75.Hc – Networks and genealogical trees
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004
