Generalized entropies and open random and scale-free networks

Details Generalized entropies and open random and scale-free networks Generalized entropies and open random and scale-free networks

2007-09-13

arxiv.org/abs/0709.2074v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

talk at CTNEXT07 (July 2007)

Scientific paper

10.1063/1.2828754

We propose the concept of open network as an arbitrary selection of nodes of a large unknown network. Using the hypothesis that information of the whole network structure can be extrapolated from an arbitrary set of its nodes, we use Renyi mutual entropies in different q-orders to establish the minimum critical size of a random set of nodes that represents reliably the information of the main network structure. We also identify the clusters of nodes responsible for the structure of their containing network.

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