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arXiv · 0803.3691

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

Zhongzhi Zhang·Shuigeng Zhou·Lichao Chen·Jihong Guan
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Abstract

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.

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Zhongzhi Zhang, Shuigeng Zhou, Lichao Chen, Jihong Guan. 2008-06-25. Transition from fractal to non-fractal scalings in growing scale-free networks. https://doi.org/10.1140/epjb/e2008-00299-1

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