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 straight- forward. 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.
Vertex Intrinsic Fitness: How to Produce Arbitrary Scale Free Networks / Servedio, VITO DOMENICO PIETRO; G., Caldarelli; Butta', Paolo. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - STAMPA. - 70:(2004), p. 056126. [10.1103/PhysRevE.70.056126]
Vertex Intrinsic Fitness: How to Produce Arbitrary Scale Free Networks
SERVEDIO, VITO DOMENICO PIETRO;BUTTA', Paolo
2004
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 straight- forward. 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.File | Dimensione | Formato | |
---|---|---|---|
Buttà_Vertex_2004.pdf.pdf
solo gestori archivio
Note: nessuna
Tipologia:
Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
177.03 kB
Formato
Adobe PDF
|
177.03 kB | Adobe PDF | Contatta l'autore |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.