title: Communication networks with an emergent dynamical structure.
abstract: A model with a dynamical network structure is studied. The essential difference from other models is that a disappearance of links is also allowed. The obtained results suggest that under certain conditions a fairly robust cluster, which contains all of the elements of the system, can be formed. According to the power law dependence in the node connectivity distribution, a scale-free regime can occur in such models. The average network diameter behaves as K-tau. The emergent structure is close to the small-world networks for certain values of p and to the large-world ones for others. Generally, the influence of the parameter K on the average network diameter is more significant than that of the system size.
authors.affiliation: Department of Theoretical Physics, St. Petersburg State University, Ulyanovskaya strasse 1, St. Petersburg, 198904 Russia.
authors.forename: O V
authors.initials: OV
authors.lastname: Kirillova