The Dynamics of Hierarchical Evolution of Complex Networks

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dc.creatorViana, Matheus Palhares
dc.creatorCosta, Luciano da Fontoura
dc.date2005-04-13
dc.date2005-05-03
dc.date.accessioned2026-07-07T03:04:44Z
dc.date.available2026-07-07T03:04:44Z
dc.descriptionIntroduced recently, the concept of hierarchical degree allows a more complete characterization of the topological context of a node in a complex network than the traditional node degree. This article presents analytical characterization and studies of the density of hierarchical degrees in random and scale free networks. The obtained results allowed the identification of a hierarchy-dependent power law for the degrees of nodes in random complex networks, with Poisson density for the first hierarchical degree (obtained through master equation approach). Exact results were obtained for the second hierarchical degree in scale free networks.
dc.description20 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0504346
dc.identifierhttp://arxiv.org/abs/cond-mat/0504346
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26198
dc.subjectStatistical Mechanics
dc.titleThe Dynamics of Hierarchical Evolution of Complex Networks
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