Growing Scale-free Small-world Networks with Tunable Assortative Coefficient

Details Growing Scale-free Small-world Networks with Tunable Assortative Coefficient Growing Scale-free Small-world Networks with Tunable Assortative Coefficient

2006-02-10

arxiv.org/abs/physics/0602072v1

Physica A 371, 814-822 (2006)

Physics

Physics and Society

13 pages, and 5 figures

Scientific paper

10.1016/j.physa.2006.03.055

In this paper, we propose a simple rule that generates scale-free small-world networks with tunable assortative coefficient. These networks are constructed by two-stage adding process for each new node. The model can reproduce scale-free degree distributions and small-world effect. The simulation results are consistent with the theoretical predictions approximately. Interestingly, we obtain the nontrivial clustering coefficient $C$ and tunable degree assortativity $r$ by adjusting the parameter: the preferential exponent $\beta$. The model can unify the characterization of both assortative and disassortative networks.

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