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arXiv · 0803.1247

Entropies of complex networks with hierarchically constrained topologies

Ginestra Bianconi·Anthony C. C. Coolen·Conrad J. Perez Vicente
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Abstract

The entropy of a hierarchical network topology in an ensemble of sparse random networks with "hidden variables" associated to its nodes, is the log-likelihood that a given network topology is present in the chosen ensemble.We obtain a general formula for this entropy,which has a clear simple interpretation in some simple limiting cases. The results provide new keys with which to solve the general problem of "fitting" a given network with an appropriate ensemble of random networks.

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Ginestra Bianconi, Anthony C. C. Coolen, Conrad J. Perez Vicente. 2009-10-16. Entropies of complex networks with hierarchically constrained topologies. https://doi.org/10.1103/physreve.78.016114

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