%0 Journal Article %@ 1434-6028 %A Caldarelli, Guido %A Capocci, Andrea %A Garlaschelli, Diego %D 2008 %F eprints:1092 %J The European Physical Journal B %K PACS: 89.75.Hc Networks and genealogical trees - 05.65.+b Self-organized systems %N 3-4 %P 585-591 %T A self-organized model for network evolution %U http://eprints.imtlucca.it/1092/ %V 64 %X Here we provide a detailed analysis, along with some extensions and additonal investigations, of a recently proposed [1] self-organized model for the evolution of complex networks. Vertices of the network are characterized by a fitness variable evolving through an extremal dynamics process, as in the Bak-Sneppen [2] model representing a prototype of Self-Organized Criticality. The network topology is in turn shaped by the fitness variable itself, as in the fitness network model [3]. The system self-organizes to a nontrivial state, characterized by a power-law decay of dynamical and topological quantities above a critical threshold. The interplay between topology and dynamics in the system is the key ingredient leading to an unexpected behaviour of these quantities.