eprintid: 1091 rev_number: 11 eprint_status: archive userid: 6 dir: disk0/00/00/10/91 datestamp: 2012-02-01 10:59:01 lastmod: 2018-03-08 17:05:00 status_changed: 2012-02-01 10:59:01 type: article metadata_visibility: show creators_name: Zlatic, Vinko creators_name: Bianconi, Ginestra creators_name: Díaz-Guilera, Albert creators_name: Garlaschelli, Diego creators_name: Rao, Francesco creators_name: Caldarelli, Guido creators_id: creators_id: creators_id: creators_id: diego.garlaschelli@imtlucca.it creators_id: creators_id: guido.caldarelli@imtlucca.it title: On the rich-club effect in dense and weighted networks ispublished: pub subjects: QC divisions: EIC full_text_status: none 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. date: 2009 publication: The European Physical Journal B volume: 67 number: 3 pagerange: 271-275 id_number: 10.1140/epjb/e2009-00007-9 refereed: TRUE issn: 1434-6028 official_url: http://dx.doi.org/10.1140/epjb/e2009-00007-9 related_url_url: http://arxiv.org/abs/0807.0793 citation: 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)