%0 Journal Article
%@ 1434-6028
%A Zlatic, Vinko
%A Bianconi, Ginestra
%A Díaz-Guilera, Albert
%A Garlaschelli, Diego
%A Rao, Francesco
%A Caldarelli, Guido
%D 2009
%F eprints:1091
%J The European Physical Journal B
%K PACS: 89.75.Hc Networks and genealogical trees; 89.75.Fb Structures and organization in complex systems 
%N 3
%P 271-275
%T On the rich-club effect in dense and weighted networks
%U http://eprints.imtlucca.it/1091/
%V 67
%X 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.