Evolving Apollonian Networks with Small-world Scale-free topologies

dc.creatorZhang, Zhongzhi
dc.creatorRong, Lili
dc.creatorZhou, Shuigeng
dc.date2005-11-24
dc.date2006-08-02
dc.date.accessioned2026-07-07T07:47:41Z
dc.date.available2026-07-07T07:47:41Z
dc.descriptionWe propose two types of evolving networks: evolutionary Apollonian networks (EAN) and general deterministic Apollonian networks (GDAN), established by simple iteration algorithms. We investigate the two networks by both simulation and theoretical prediction. Analytical results show that both networks follow power-law degree distributions, with distribution exponents continuously tuned from 2 to 3. The accurate expression of clustering coefficient is also given for both networks. Moreover, the investigation of the average path length of EAN and the diameter of GDAN reveals that these two types of networks possess small-world feature. In addition, we study the collective synchronization behavior on some limitations of the EAN.
dc.description10 pages, 7 figures. Physical Review E, in press; available at http://link.aps.org/abstract/PRE/v74/e046105
dc.identifierhttps://arxiv.org/abs/cond-mat/0511609
dc.identifierhttp://arxiv.org/abs/cond-mat/0511609
dc.identifierPhysical Review E 74, 046105 (2006)
dc.identifierdoi:10.1103/PhysRevE.74.046105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124252
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.titleEvolving Apollonian Networks with Small-world Scale-free topologies
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