Resilience to damage of graphs with degree correlations

Details Resilience to damage of graphs with degree correlations Resilience to damage of graphs with degree correlations

2002-09-07

arxiv.org/abs/cond-mat/0209182v3

Phys. Rev. E 67, 015101(R) (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 1 figure

Scientific paper

10.1103/PhysRevE.67.015101

The existence or not of a percolation threshold on power law correlated graphs is a fundamental question for which a general criterion is lacking. In this work we investigate the problems of site and bond percolation on graphs with degree correlations and their connection with spreading phenomena. We obtain some general expressions that allow the computation of the transition thresholds or their bounds. Using these results we study the effects of assortative and disassortative correlations on the resilience to damage of networks.

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