eprintid: 1119
rev_number: 11
eprint_status: archive
userid: 6
dir: disk0/00/00/11/19
datestamp: 2012-02-14 14:21:09
lastmod: 2013-11-20 14:58:49
status_changed: 2012-02-14 14:21:09
type: article
metadata_visibility: show
creators_name: Servedio, Vito D. P.
creators_name: Caldarelli, Guido
creators_name: Buttà, Paolo
creators_id: 
creators_id: guido.caldarelli@imtlucca.it
creators_id: 
title: Vertex intrinsic fitness: How to produce arbitrary scale-free networks
ispublished: pub
subjects: QA
subjects: QC
divisions: EIC
full_text_status: none
keywords: PACS: 89.75.Hc, 84.35.+i, 89.75.Da

abstract: We study a recent model of random networks based on the presence of an intrinsic character of the vertices called fitness. The vertex fitnesses are drawn from a given probability distribution density. The edges between pairs of vertices are drawn according to a linking probability function depending on the fitnesses of the two vertices involved. We study here different choices for the probability distribution densities and the linking functions. We find that, irrespective of the particular choices, the generation of scale-free networks is straightforward. We then derive the general conditions under which scale-free behavior appears. This model could then represent a possible explanation for the ubiquity and robustness of such structures.
date: 2004-11
publication: Physical Review E
volume: 70
number: 5
publisher: American Physical Society
id_number: 10.1103/PhysRevE.70.056126
refereed: TRUE
issn: 1539-3755
official_url: http://dx.doi.org/10.1103/PhysRevE.70.056126
related_url_url: http://arxiv.org/abs/cond-mat/0309659
citation:   Servedio, Vito D. P. and Caldarelli, Guido and Buttà, Paolo  Vertex intrinsic fitness: How to produce arbitrary scale-free networks.  Physical Review E, 70 (5).   ISSN 1539-3755      (2004)