Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

Files

514080.pdf (91.25 KB)

Document type

Article

Version

Published version

Publication date

2003

All rights reserved

Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/13251

Absence of epidemic threshold in scale free networks with degree correlations

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

http://dx.doi.org/10.1103/PhysRevLett.90.028701

Abstract

Random scale-free networks have the peculiar property of being prone to the spreading of infections. Here we provide for the susceptible-infected-susceptible model an exact result showing that a scale-free degree distribution with diverging second moment is a sufficient condition to have null epidemic threshold in unstructured networks with either assortative or disassortative mixing. Degree correlations result therefore irrelevant for the epidemic spreading picture in these scale-free networks. The present result is related to the divergence of the average nearest neighbors degree, enforced by the degree detailed balance condition.

Subject

Mecànica estadística, Física estadística

Subject (English)

Statistical mechanics, Statistical physics

Citation

Collections

Articles publicats en revistes (Física de la Matèria Condensada)

Citation

BOGUÑÁ, Marián, PASTOR-SATORRAS, R. (Romualdo) and VESPIGNANI, Alessandro. Absence of epidemic threshold in scale free networks with degree correlations. Physical Review Letters. 2003. Vol. 90, num. 2, pags. 028701-1-028701-4. ISSN 0031-9007. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/13251

Export metadata

JSON - METS

Share record