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On the rich-club effect in dense and weighted networks

Zlatic, Vinko and Bianconi, Ginestra and Díaz-Guilera, Albert and Garlaschelli, Diego and Rao, Francesco and Caldarelli, Guido On the rich-club effect in dense and weighted networks. The European Physical Journal B, 67 (3). pp. 271-275. ISSN 1434-6028 (2009)

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Abstract

For many complex networks present in nature only a single instance, usually of large size, is available. Any measurement made on this single instance cannot be repeated on different realizations. In order to detect significant patterns in a real-world network it is therefore crucial to compare the measured results with a null model counterpart. Here we focus on dense and weighted networks, proposing a suitable null model and studying the behaviour of the degree correlations as measured by the rich-club coefficient. Our method solves an existing problem with the randomization of dense unweighted graphs, and at the same time represents a generalization of the rich-club coefficient to weighted networks which is complementary to other recently proposed ones.

Item Type: Article
Identification Number: 10.1140/epjb/e2009-00007-9
Uncontrolled Keywords: PACS: 89.75.Hc Networks and genealogical trees; 89.75.Fb Structures and organization in complex systems
Subjects: Q Science > QC Physics
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 01 Feb 2012 10:59
Last Modified: 21 Nov 2013 11:09
URI: http://eprints.imtlucca.it/id/eprint/1091

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