Publication: New Bounds for Topological Indices on Trees through Generalized Methods
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2020-07
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MDPI
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Abstract
Topological indices are useful for predicting the physicochemical behavior of chemical compounds. A main problem in this topic is finding good bounds for the indices, usually when some parameters of the graph are known. The aim of this paper is to use a unified approach in order to obtain several new inequalities for a wide family of topological indices restricted to trees and to characterize the corresponding extremal trees. The main results give upper and lower bounds for a large class of topological indices on trees, fixing or not the maximum degree. This class includes the first variable Zagreb, the Narumi–Katayama, the modified Narumi–Katayama and the Wiener index.
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This article belongs to the Special Issue Analytical and Computational Properties of Topological Indices.
Keywords
First variable zagreb index, Narumi-Katayama index, Modified Narumi-Katayama index, Wiener index, Topological indices, Schur-convexity, Trees
Bibliographic citation
Martínez-Pérez, L. & Rodríguez, J. M. (2020). New Bounds for Topological Indices on Trees through Generalized Methods. Symmetry, 12(7), 1097.