Generalized entropies and open random and scale-free networks

V. Gudkov; V. Montealegre

doi:10.1063/1.2828754

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arXiv · 0709.2074

Generalized entropies and open random and scale-free networks

V. Gudkov·V. Montealegre

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Abstract

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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cond-mat.dis-nn cs.NI physics.soc-ph

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BibTeX RIS

V. Gudkov, V. Montealegre. 2007-09-13. Generalized entropies and open random and scale-free networks. https://doi.org/10.1063/1.2828754

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