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

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dc.creatorZhang, Zhongzhi
dc.creatorZhou, Shuigeng
dc.creatorChen, Lichao
dc.creatorGuan, Jihong
dc.date2008-03-26
dc.date2008-06-25
dc.date.accessioned2026-07-07T09:54:52Z
dc.date.available2026-07-07T09:54:52Z
dc.descriptionReal 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.
dc.description7 pages, 3 figures, definitive version accepted for publication in EPJB
dc.identifierhttps://arxiv.org/abs/0803.3691
dc.identifierhttp://arxiv.org/abs/0803.3691
dc.identifierEur. Phys. J. B 64, 277-283 (2008)
dc.identifierdoi:10.1140/epjb/e2008-00299-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166480
dc.subjectOther Condensed Matter
dc.titleTransition from fractal to non-fractal scalings in growing scale-free networks
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