New Bounds for Topological Indices on Trees through Generalized Methods

Autor:	Álvaro Martínez-Pérez, José M. Rodríguez
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	first variable zagreb index Narumi–Katayama index modified Narumi–Katayama index Wiener index topological indices Schur-convexity Mathematics QA1-939
Zdroj:	Symmetry, Vol 12, Iss 7, p 1097 (2020)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym12071097
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/27023cda423f4c76ab8bbcc40533407c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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