Epidemic thresholds on scale-free graphs: the interplay between exponent and preferential choice

Details Epidemic thresholds on scale-free graphs: the interplay between exponent and preferential choice Epidemic thresholds on scale-free graphs: the interplay between exponent and preferential choice

2002-07-12

arxiv.org/abs/cond-mat/0207319v2

Physics

Condensed Matter

10 pages

Scientific paper

10.1007/s00023-003-0975-1

We show for a model of scale-free graphs with biased partner choice that knowing the exponent for the degree distribution is in general not sufficient to decide epidemic threshold properties for exponents less than three.We show that the connectivity between the high degree vertices and therefore the diameter is the relevant geometric quantity for epidemic threshold estimations.Absence of epidemic threshold happens precisely when a positive fraction of the nodes form a cluster of bounded diameter.

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