Correlations between structure and dynamics in complex networks

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dc.creatorCosta, Luciano da F.
dc.creatorSporns, Olaf
dc.creatorAntiqueira, Lucas
dc.creatorNunes, Maria das Gracas V.
dc.creatorOliveira Jr, Osvaldo N.
dc.date2006-11-26
dc.date.accessioned2026-07-07T08:30:40Z
dc.date.available2026-07-07T08:30:40Z
dc.descriptionPrevious efforts in complex networks research focused mainly on the topological features of such networks, but now also encompass the dynamics. In this Letter we discuss the relationship between structure and dynamics, with an emphasis on identifying whether a topological hub, i.e. a node with high degree or strength, is also a dynamical hub, i.e. a node with high activity. We employ random walk dynamics and establish the necessary conditions for a network to be topologically and dynamically fully correlated, with topological hubs that are also highly active. Zipf's law is then shown to be a reflection of the match between structure and dynamics in a fully correlated network, as well as a consequence of the rich-get-richer evolution inherent in scale-free networks. We also examine a number of real networks for correlations between topology and dynamics and find that many of them are not fully correlated.
dc.description16 pages, 7 figures, 1 table
dc.identifierhttps://arxiv.org/abs/physics/0611247
dc.identifierhttp://arxiv.org/abs/physics/0611247
dc.identifierAppl. Phys. Lett. 91, 054107(2007)
dc.identifierdoi:10.1063/1.2766683
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138296
dc.subjectComputational Physics
dc.subjectStatistical Mechanics
dc.subjectData Analysis, Statistics and Probability
dc.titleCorrelations between structure and dynamics in complex networks
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