eprintid: 1104
rev_number: 10
eprint_status: archive
userid: 6
dir: disk0/00/00/11/04
datestamp: 2012-02-01 15:39:59
lastmod: 2018-03-08 17:09:14
status_changed: 2012-02-01 15:39:59
type: article
metadata_visibility: show
creators_name: Ahnert, Sebastian E.
creators_name: Garlaschelli, Diego
creators_name: Fink, Thomas M.A.
creators_name: Caldarelli, Guido
creators_id: 
creators_id: diego.garlaschelli@imtlucca.it
creators_id: 
creators_id: guido.caldarelli@imtlucca.it
title: Ensemble approach to the analysis of weighted networks
ispublished: pub
subjects: QC
divisions: EIC
full_text_status: public
keywords: PACS: 89.75.Hc, 05.10.−a, 89.65.−s

note: © 2007 American Physical Society
abstract: We present an approach to the analysis of weighted networks, by providing a straightforward generalization of any network measure defined on unweighted networks, such as the average degree of the nearest neighbors, the clustering coefficient, the “betweenness,” the distance between two nodes, and the diameter of a network. All these measures are well established for unweighted networks but have hitherto proven difficult to define for weighted networks. Our approach is based on the translation of a weighted network into an ensemble of edges. Further introducing this approach we demonstrate its advantages by applying the clustering coefficient constructed in this way to two real-world weighted networks.
date: 2007
publication: Physical Review E
volume: 76
number: 1
publisher: American Physical Society
pagerange: 016101
id_number: 10.1103/PhysRevE.76.016101
refereed: TRUE
issn: 1539-3755
official_url: http://dx.doi.org/10.1103/PhysRevE.76.016101
related_url_url: http://arxiv.org/abs/cond-mat/0604409
citation:   Ahnert, Sebastian E. and Garlaschelli, Diego and Fink, Thomas M.A. and Caldarelli, Guido  Ensemble approach to the analysis of weighted networks.  Physical Review E, 76 (1).  016101.  ISSN 1539-3755      (2007)  
document_url: http://eprints.imtlucca.it/1104/1/PhysRevE.Caldarelli_2007.pdf