منابع مشابه
Generalized Degree-Based Graph Entropies
Inspired by the generalized entropies for graphs, a class of generalized degree-based graph entropies is proposed using the known information-theoretic measures to characterize the structure of complex networks. The new entropies depend on assigning a probability distribution about the degrees to a network. In this paper, some extremal properties of the generalized degree-based graph entropies ...
متن کاملSome New Properties for Degree-Based Graph Entropies
The graph entropies inspired by Shannon’s entropy concept become the information-theoretic quantities for measuring the structural information of graphs and complex networks. In this paper, we continue studying some new properties of the graph entropies based on information functionals involving vertex degrees. We prove the monotonicity of the graph entropies with respect to the power exponent....
متن کاملInferring degree of nonextensivity for generalized entropies
The purpose of this note is to argue that degree of nonextensivity as given by the Tsallis distribution obtained from maximum entropy principle has a different origin than the nonextensivity inferred from pseudo-additive property of Tsallis entropy. PACS: 05.20.-y, 05.30.-d
متن کاملTowards Information Inequalities for Generalized Graph Entropies
In this article, we discuss the problem of establishing relations between information measures for network structures. Two types of entropy based measures namely, the Shannon entropy and its generalization, the Rényi entropy have been considered for this study. Our main results involve establishing formal relationships, by means of inequalities, between these two kinds of measures. Further, we ...
متن کاملEntropies for complex systems: generalized-generalized entropies
Many complex systems are characterized by non-Boltzmann distribution functions of their statistical variables. If one wants to – justified or not – hold on to the maximum entropy principle for complex statistical systems (non-Boltzmann) we demonstrate how the corresponding entropy has to look like, given the form of the corresponding distribution functions. By two natural assumptions that (i) t...
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ژورنال
عنوان ژورنال: Symmetry
سال: 2017
ISSN: 2073-8994
DOI: 10.3390/sym9030029