Percolation Critical Exponents in Scale-Free Networks

Preprint

18 September 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0202259

Abstract

We study the behavior of scale-free networks, having connectivity distribution P(k) k^-a, close to the percolation threshold. We show that for networks with 3<a<4, known to undergo a transition at a finite threshold of dilution, the critical exponents are different than the expected mean-field values of regular percolation in infinite dimensions. Networks with 2<a4.

Keywords

PERCOLATION CRITICAL EXPONENTS
PERCOLATION THRESHOLD
SCALE FREE NETWORKS
BEAR

All Related Versions

Version 1, 2002-02-15, ArXiv
Version 2, 2002-09-18, ArXiv
Published version: Physical Review E, 66 (3), 036113.

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