%0 Journal Article %1 anand_entropy_2009 %A Anand, Kartik %A Bianconi, Ginestra %D 2009 %J Physical Review E %K analysis, entropy, network physics statistical %N 4 %P 045102 %R 10.1103/PhysRevE.80.045102 %T Entropy measures for networks: Toward an information theory of complex topologies %U http://pre.aps.org/abstract/PRE/v80/i4/e045102 %V 80 %X 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 Rapid Communication 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.

@article{anand_entropy_2009, 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 Rapid Communication 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.}, added-at = {2017-01-09T13:57:26.000+0100}, author = {Anand, Kartik and Bianconi, Ginestra}, biburl = {https://www.bibsonomy.org/bibtex/222cdf6a2035c9c8165f4c41daffefeea/yourwelcome}, doi = {10.1103/PhysRevE.80.045102}, interhash = {75afb81b46225b1b01ba5724333e008b}, intrahash = {22cdf6a2035c9c8165f4c41daffefeea}, journal = {Physical Review E}, keywords = {analysis, entropy, network physics statistical}, number = 4, pages = 045102, shorttitle = {Entropy measures for networks}, timestamp = {2017-01-09T14:01:11.000+0100}, title = {Entropy measures for networks: {Toward} an information theory of complex topologies}, url = {http://pre.aps.org/abstract/PRE/v80/i4/e045102}, urldate = {2013-09-24}, volume = 80, year = 2009 }