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Communicability in complex networks

Estrada, E. and Hatano, N. and , Ramon y Cajal program Spain (Funder) (2008) Communicability in complex networks. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 77 (3). ISSN 1063-651X

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Abstract

We propose a new measure of the communicability of a complex network, which is a broad generalization of the concept of the shortest path. According to the new measure, most of the real-world networks display the largest communicability between the most connected (popular) nodes of the network (assortative communicability). There are also several networks with the disassortative communicability, where the most "popular" nodes communicate very poorly to each other. Using this information we classify a diverse set of real-world complex systems into a small number of universality classes based on their structure-dynamic correlation. In addition, the new communicability measure is able to distinguish finer structures of networks, such as communities into which a network is divided. A community is unambiguously defined here as a set of nodes displaying larger communicability among them than to the rest of the nodes in the network.

Item type: Article
ID code: 14297
Keywords: complex networks, network theory (graphs), set theory, Mathematics, Physics, Physics and Astronomy(all), Mathematical Physics, Statistical and Nonlinear Physics, Condensed Matter Physics
Subjects: Science > Mathematics
Science > Physics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Mrs Carolynne Westwood
Date Deposited: 22 Jan 2010 11:54
Last modified: 21 May 2015 10:52
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/14297

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