On the rich-club effect in dense and weighted networks
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.
Keywords
Cite
@article{arxiv.0807.0793,
title = {On the rich-club effect in dense and weighted networks},
author = {Vinko Zlatic and Ginestra Bianconi and Albert Diaz-Guilera and Diego Garlaschelli and Francesco Rao and Guido Caldarelli},
journal= {arXiv preprint arXiv:0807.0793},
year = {2009}
}
Comments
Final version accepted for publication on EPJB