Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2009-07-09
Phys. Rev. E 80, 045102(R) (2009)
Physics
Condensed Matter
Disordered Systems and Neural Networks
(4 pages, 1 figure)
Scientific paper
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.
Anand Kartik
Bianconi Ginestra
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