title: Organization of complex networks without multiple connections.
abstract: We find a new structural feature of equilibrium complex random networks without multiple and self-connections. We show that if the number of connections is sufficiently high, these networks contain a core of highly interconnected vertices. The number of vertices in this core varies in the range between const x N1/2 and const x N2/3, where is the number of vertices in a network. At the birth point of the core, we obtain the size-dependent cutoff of the distribution of the number of connections and find that its position differs from earlier estimates.
authors.affiliation: Departamento de Física da Universidade de Aveiro, 3810-193 Aveiro, Portugal.
authors.forename: S N
authors.initials: SN
authors.lastname: Dorogovtsev
authors.forename: J F F
authors.initials: JF
authors.lastname: Mendes
authors.forename: A M
authors.initials: AM
authors.lastname: Povolotsky
authors.forename: A N
authors.initials: AN
authors.lastname: Samukhin