title: Percolation on correlated networks.
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.
authors.affiliation: Departamento de Física, Universidade de Aveiro, 3810-193 Aveiro, Portugal and A.F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia.
authors.forename: A V
authors.initials: AV
authors.lastname: Goltsev
authors.forename: S N
authors.initials: SN
authors.lastname: Dorogovtsev
authors.forename: J F F
authors.initials: JF
authors.lastname: Mendes