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arXiv · 0810.1742

Percolation on correlated networks

A. V. Goltsev·S. N. Dorogovtsev·J. F. F. Mendes
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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.

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A. V. Goltsev, S. N. Dorogovtsev, J. F. F. Mendes. 2008-10-09. Percolation on correlated networks. https://doi.org/10.1103/physreve.78.051105

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