A Generalized Approach to Complex Networks

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dc.creatorCosta, Luciano da Fontoura
dc.creatorda Rocha, Luis Enrique C.
dc.date2004-08-03
dc.date2005-09-29
dc.date.accessioned2026-07-07T08:30:34Z
dc.date.available2026-07-07T08:30:34Z
dc.descriptionThis work describes how the formalization of complex network concepts in terms of discrete mathematics, especially mathematical morphology, allows a series of generalizations and important results ranging from new measurements of the network topology to new network growth models. First, the concepts of node degree and clustering coefficient are extended in order to characterize not only specific nodes, but any generic subnetwork. Second, the consideration of distance transform and rings are used to further extend those concepts in order to obtain a signature, instead of a single scalar measurement, ranging from the single node to whole graph scales. The enhanced discriminative potential of such extended measurements is illustrated with respect to the identification of correspondence between nodes in two complex networks, namely a protein-protein interaction network and a perturbed version of it. The use of other measurements derived from mathematical morphology are also suggested as a means to characterize complex networks connectivity in a more comprehensive fashion.
dc.description10 pages, 2 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0408076
dc.identifierhttp://arxiv.org/abs/cond-mat/0408076
dc.identifierEuropean Physical Journal B, v. 50, p. 237-242, 2006.
dc.identifierdoi:10.1140/epjb/e2006-00107-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138269
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleA Generalized Approach to Complex Networks
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