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arXiv · 0907.1514

Entropy measures for complex networks: Toward an information theory of complex topologies

Kartik Anand·Ginestra Bianconi
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Abstract

The quantification of the complexity of networks is, today, a fundamental problem in the physics of complex systems. A possible roadmap to solve the problem is via extending key concepts of information theory to networks. In this paper we propose how to define the Shannon entropy of a network ensemble and how it relates to the Gibbs and von Neumann entropies of network ensembles. The quantities we introduce here will play a crucial role for the formulation of null models of networks through maximum-entropy arguments and will contribute to inference problems emerging in the field of complex networks.

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BibTeXRIS

Kartik Anand, Ginestra Bianconi. 2009-07-09. Entropy measures for complex networks: Toward an information theory of complex topologies. https://doi.org/10.1103/physreve.80.045102

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