Unpublished,
The \$q\$-component Static Model: Modeling Social Networks
(2005)arXiv.org.
Abstract
We generalize the static model by assigning a q-component weight on each vertex. We first choose a component (\$/micro\$) among the \$q\$ components at random and a pair of vertices is linked with a color \$/micro\$ according to their weights of the component as a static model. A \$(1-f)\$ fraction of the entire edges is connected following this way. The remaining fraction \$f\$ is added with the \$(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 as a highly skewed form, (ii) the diameter is as small 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\$.
