title: Critical phenomena in networks.
abstract: We develop a phenomenological theory of critical phenomena in networks with an arbitrary distribution of connections P(k). The theory shows that the critical behavior depends in a crucial way on the form of P(k) and differs strongly from the standard mean-field behavior. The critical behavior observed in various networks is analyzed and found to be in agreement with theory.
authors.affiliation: Departamento de Física and Centro de Física do Porto, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal. goltsev@pop.ioffe.rssi.ru
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