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Application of varentropy as a measure of probabilistic uncertainty for complex networks |
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| Authors: | Jian Jiang Ru Wang Michel Pezeril Qiuping Alexandre Wang |
| Affiliation: | JIANG Jian1,2,3,WANG Ru1,4,PEZERIL Michel3 & WANG Qiuping Alexandre1,3 1 Institut Supérieur des Matériaux et Mécaniques Avancés 44,Avenue F.A. Bartholdi,72000 Le Mans,France,2 Complexity Science Center,Institute of Particle Physics,Central China Normal University,Wuhan 430079,China,3 LPEC,Faculté des Sciences et Techniques,Université du Maine,Ave. O. Messiaen,72035 Le Mans,4 College of Information Science and Engineering,Huaqiao University,Quanzhou 362021 |
| Abstract: | Varentropy is used as a general measure of probabilistic uncertainty for a complex network, inspired by the first and second laws of thermodynamics, but not limited to the equilibrium system. By exploring the relationship between the varentropy of the scale free distribution and the exponent of power laws as well as network size, we get the optimal design of a scale-free network against random failures. The behaviors of varentropy and the Shannon entropy of double Pareto law degree distribution are analyzed... |
| Keywords: | varentropy optimization double Pareto law distribution equilibrium network ensemble |
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