Absence of epidemic threshold in scale-free networks with connectivity correlations
Preprint
- 8 August 2002
Abstract
Random scale-free networks have the peculiar property of being prone to the spreading of infections. Here we provide an exact result showing that a scale-free connectivity distribution with diverging second moment is a sufficient condition to have null epidemic threshold in unstructured networks with either assortative or dissortative mixing. Connectivity correlations result therefore ininfluential for the epidemic spreading picture in these scale-free networks. The present result is related to the divergence of the average nearest neighbors connectivity, enforced by the connectivity detailed balance condition.Keywords
All Related Versions
- Version 1, 2002-08-08, ArXiv
- Published version: Physical Review Letters, 90 (2), 028701.
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