title: Unified model for network dynamics exhibiting nonextensive statistics.
abstract: We introduce a dynamical network model which unifies a number of network families which are individually known to exhibit q-exponential degree distributions. The present model dynamics incorporates static (nongrowing) self-organizing networks, preferentially growing networks, and (preferentially) rewiring networks. Further, it exhibits a natural random graph limit. The proposed model generalizes network dynamics to rewiring and growth modes which depend on internal topology as well as on a metric imposed by the space they are embedded in. In all of the networks emerging from the presented model we find q-exponential degree distributions over a large parameter space. We comment on the parameter dependence of the corresponding entropic index q for the degree distributions, and on the behavior of the clustering coefficients and neighboring connectivity distributions.
authors.affiliation: Complex Systems Research Group, HNO Medical University of Vienna, Währinger Gürtel 18-20, A-1090, Austria. thurner@univie.ac.at
authors.forename: Stefan
authors.initials: S
authors.lastname: Thurner
authors.forename: Fragiskos
authors.initials: F
authors.lastname: Kyriakopoulos
authors.forename: Constantino
authors.initials: C
authors.lastname: Tsallis