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Title: Novel inequalities for generalized graph entropies-Graph energies and topological indices
Authors: Xueliang L.
Qin Z.
Wei M.
Gutman, Ivan
Dehmer M.
Issue Date: 2015
Abstract: © 2015 Elsevier Inc. All rights reserved. The entropy of a graph is an information-theoretic quantity for measuring the complexity of a graph. After Shannon introduced the entropy to information and communication, many generalizations of the entropy measure have been proposed, such as Rényi entropy and Daróczy entropy. In this article, we prove accurate connections (inequalities) between generalized graph entropies, graph energies, and topological indices. Additionally, we obtain some extremal properties of nine generalized graph entropies by employing graph energies and topological indices.
Type: article
DOI: 10.1016/j.amc.2015.02.059
ISSN: 0096-3003
SCOPUS: 2-s2.0-84925340275
Appears in Collections:Faculty of Science, Kragujevac

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