Epidemic Thresholds on Scale-Free Graphs: The Interplay between Exponent and Preferential Choice

Ph Blanchard*, Cheng-Hung Chang, T. Krüger

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We study epidemic threshold properties in a scale-free random graph model. We show via a branching process approximation that the divergence of the second moment of the degree distribution equivalent to the absence of an epidemic threshold. We study further the relation between diameter and epidemic threshold. Absence of an epidemic threshold happens precisely when a positive fraction of the nodes form a cluster of bounded diameter.

Original languageEnglish
Pages (from-to)S957-S970
JournalAnnales Henri Poincare
Volume4
Issue numberSUPPL. 2
DOIs
StatePublished - 1 Jan 2003

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