title: Resilience to damage of graphs with degree correlations.
abstract: The existence or nonexistence 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.
authors.affiliation: INFN and International School for Advanced Studies, Via Beirut 4, 34014 Trieste, Italy.
authors.forename: Alexei
authors.initials: A
authors.lastname: Vázquez
authors.forename: Yamir
authors.initials: Y
authors.lastname: Moreno