Percolation on correlated networks

Details Percolation on correlated networks Percolation on correlated networks

2008-10-09

arxiv.org/abs/0810.1742v1

Phys. Rev. E 78, 051105 (2008)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 6 figures

Scientific paper

10.1103/PhysRevE.78.051105

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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