Growing scale-free small-world networks with tunable assortative coefficient

• DOI: 10.1016/j.physa.2006.03.055
• Publication Date: 2006-05-05T06:20:11Z
• Authors: Qiang Guo; Tao Zhou; Jian-Guo Liu; Wen-Jie Bai; Bing-Hong Wang; Ming Zhao
• Keywords: Physics - Physics and Society; 0103 physical sciences; FOS: Physical sciences; Physics and Society (physics.soc-ph); 01 natural sciences

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 $��$. The model can unify the characterization of both assortative and disassortative networks.<br/>13 pages, and 5 figures<br/>