Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-01-02
Physics
Condensed Matter
Statistical Mechanics
11 pages 8 figs
Scientific paper
10.1103/PhysRevE.76.036111
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 (non-growing) 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.
Kyriakopoulos Fragiskos
Thurner Stefan
Tsallis Constantino
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