@article{eprints1091, pages = {271--275}, number = {3}, title = {On the rich-club effect in dense and weighted networks}, volume = {67}, author = {Vinko Zlatic and Ginestra Bianconi and Albert D{\'i}az-Guilera and Diego Garlaschelli and Francesco Rao and Guido Caldarelli}, journal = {The European Physical Journal B}, year = {2009}, keywords = {PACS: 89.75.Hc Networks and genealogical trees; 89.75.Fb Structures and organization in complex systems }, 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. }, url = {http://eprints.imtlucca.it/1091/} }