The q-component static model : modeling social networks

Details The q-component static model : modeling social networks The q-component static model : modeling social networks

2003-07-09

arxiv.org/abs/cond-mat/0307184v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 6 figures

Scientific paper

10.1140/epjb/e2004-00018-0

We generalize the static model by assigning a q-component weight on each vertex. We first choose a component $(\mu)$ among the q components at random and a pair of vertices is linked with a color $\mu$ according to their weights of the component $(\mu)$ as in the static model. A (1-f) fraction of the entire edges is connected following this way. The remaining fraction f is added with (q+1)-th color as in the static model but using the maximum weights among the q components each individual has. This model is motivated by social networks. It exhibits similar topological features to real social networks in that: (i) the degree distribution has a highly skewed form, (ii) the diameter is as small as and (iii) the assortativity coefficient r is as positive and large as those in real social networks with r reaching a maximum around $f \approx 0.2$.

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