Random Sierpinski network with scale-free small-world and modular structure

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dc.creatorZhang, Zhongzhi
dc.creatorZhou, Shuigeng
dc.creatorSu, Zhan
dc.creatorZou, Tao
dc.creatorGuan, Jihong
dc.date2008-03-06
dc.date2008-06-30
dc.date.accessioned2026-07-07T10:01:33Z
dc.date.available2026-07-07T10:01:33Z
dc.descriptionIn this paper, we define a stochastic Sierpinski gasket, on the basis of which we construct a network called random Sierpinski network (RSN). We investigate analytically or numerically the statistical characteristics of RSN. The obtained results reveal that the properties of RSN is particularly rich, it is simultaneously scale-free, small-world, uncorrelated, modular, and maximal planar. All obtained analytical predictions are successfully contrasted with extensive numerical simulations. Our network representation method could be applied to study the complexity of some real systems in biological and information fields.
dc.description7 pages, 9 figures; final version accepted for publication in EPJB
dc.identifierhttps://arxiv.org/abs/0803.0780
dc.identifierhttp://arxiv.org/abs/0803.0780
dc.identifierEur. Phys. J. B 65, 141-147 (2008)
dc.identifierdoi:10.1140/epjb/e2008-00305-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168666
dc.subjectStatistical Mechanics
dc.titleRandom Sierpinski network with scale-free small-world and modular structure
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