Percolation on correlated networks
Statistical Mechanics
2009-11-13 v1 Probability
Physics and Society
Abstract
We reconsider the problem of percolation on an equilibrium random network with degree-degree correlations between nearest-neighboring vertices focusing on critical singularities at a percolation threshold. We obtain criteria for degree-degree correlations to be irrelevant for critical singularities. We present examples of networks in which assortative and disassortative mixing leads to unusual percolation properties and new critical exponents.
Cite
@article{arxiv.0810.1742,
title = {Percolation on correlated networks},
author = {A. V. Goltsev and S. N. Dorogovtsev and J. F. F. Mendes},
journal= {arXiv preprint arXiv:0810.1742},
year = {2009}
}
Comments
14 pages, 6 figures