A generalized approach to complex networks

Luciano Da Fontoura Costa, Luis Enrique Correa da Rocha

Research output: Contribution to journalArticlepeer-review


This 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.

Original languageEnglish
Pages (from-to)237-242
Number of pages6
JournalEuropean Physical Journal B
Issue number1-2
Publication statusPublished - Mar 2006


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