A Model for Social Networks

Details A Model for Social Networks A Model for Social Networks

2006-01-17

arxiv.org/abs/physics/0601114v2

Physics

Physics and Society

15 pages (Latex), 6 figures (Postscript)

Scientific paper

10.1016/j.physa.2006.03.050

Social networks are organized into communities with dense internal connections, giving rise to high values of the clustering coefficient. In addition, these networks have been observed to be assortative, i.e. highly connected vertices tend to connect to other highly connected vertices, and have broad degree distributions. We present a model for an undirected growing network which reproduces these characteristics, with the aim of producing efficiently very large networks to be used as platforms for studying sociodynamic phenomena. The communities arise from a mixture of random attachment and implicit preferential attachment. The structural properties of the model are studied analytically and numerically, using the $k$-clique method for quantifying the communities.

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