Unified model for network dynamics exhibiting nonextensive statistics
- 17 September 2007
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 76 (3), 036111
- https://doi.org/10.1103/physreve.76.036111
Abstract
We introduce a dynamical network model which unifies a number of network families which are individually known to exhibit -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 -exponential degree distributions over a large parameter space. We comment on the parameter dependence of the corresponding entropic index for the degree distributions, and on the behavior of the clustering coefficients and neighboring connectivity distributions.
Keywords
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