Effects of accelerating growth on the evolution of weighted complex networks

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dc.creatorZhang, Zhongzhi
dc.creatorFang, Lujun
dc.creatorZhou, Shuigeng
dc.creatorGuan, Jihong
dc.date2007-04-13
dc.date2008-10-01
dc.date.accessioned2026-07-07T10:19:16Z
dc.date.available2026-07-07T10:19:16Z
dc.descriptionMany real systems possess accelerating statistics where the total number of edges grows faster than the network size. In this paper, we propose a simple weighted network model with accelerating growth. We derive analytical expressions for the evolutions and distributions for strength, degree, and weight, which are relevant to accelerating growth. We also find that accelerating growth determines the clustering coefficient of the networks. Interestingly, the distributions for strength, degree, and weight display a transition from scale-free to exponential form when the parameter with respect to accelerating growth increases from a small to large value. All the theoretical predictions are successfully contrasted with extensive numerical simulations.
dc.descriptionFinal version accepted for publication in Physica A
dc.identifierhttps://arxiv.org/abs/0704.1692
dc.identifierhttp://arxiv.org/abs/0704.1692
dc.identifierPhysica A, 2009, 388:225-232.
dc.identifierdoi:10.1016/j.physa.2008.10.008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174446
dc.subjectPhysics and Society
dc.titleEffects of accelerating growth on the evolution of weighted complex networks
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