2008/03/31 by Zhongzhi Zhang, Shuigeng Zhou, Lichao Chen +1
Engineering · Physics and Astronomy · #Complex Network Analysis Techniques #Slime Mold and Myxomycetes Research #Theoretical and Computational Physics #cond-mat.other
paper · pdf · doi:10.1140/epjb/e2008-00299-1
published as Eur. Phys. J. B 64, 277-283 (2008) · 7 pages, 3 figures, definitive version accepted for publication in EPJB
arxiv created 2008/06/25 · openalex publication_date 2008/07/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.