Martinez-Perez, AlvaroRodríguez García, José Manuel2021-07-292021-07-292020-07Martínez-Pérez, L. & Rodríguez, J. M. (2020). New Bounds for Topological Indices on Trees through Generalized Methods. Symmetry, 12(7), 1097.2073-8994https://hdl.handle.net/10016/33170This article belongs to the Special Issue Analytical and Computational Properties of Topological Indices.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.15eng© 2020 by the authors.Atribución 3.0 EspañaFirst variable zagreb indexNarumi-Katayama indexModified Narumi-Katayama indexWiener indexTopological indicesSchur-convexityTreesresearch articleMatemáticashttps://doi.org/10.3390/SYM12071097open access10977Symmetry12AR/0000026799