Transition from fractal to non-fractal scalings in growing scale-free networks

作者：Zhang Z*******^*; Zhou Shuigeng; Chen Lichao; Guan Jihong

来源：European Physical Journal B, 2008, 64(2): 277-283.

DOI：10.1140/epjb/e2008-00299-1

Real networks can be classified into two categories: fractal networks and non-fractal networks. Here we introduce a unifying model for the two types of networks. Our model network is governed by a parameter q. We obtain the topological properties of the network including the degree distribution, average path length, diameter, fractal dimensions, and betweenness centrality distribution, which are controlled by parameter q. Interestingly, we show that by adjusting q, the networks undergo a transition from fractal to non-fractal scalings, and exhibit a crossover from ';large'; to small worlds at the same time. Our research may shed some light on understanding the evolution and relationships of fractal and non-fractal networks.

• 出版日期2008-7
• 单位同济大学; 复旦大学