Cita:
Martínez-Pérez, Á. & Rodrígez, J. M.(2019). A unified approach to bounds for topological indices on trees and applications. MATCH Communications in Mathematical and in Computer Chemistry 82(3), 679-698.
ISSN:
0340-6253
Patrocinador:
Ministerio de Economía y Competitividad (España) Ministerio de Ciencia, Innovación y Universidades (España)
Agradecimientos:
The first author was partially supported by a grant from Ministerio de Ciencia, Innovación y Universidades (PGC2018-098321-B-I00), Spain; the second author was partially supported by two grants from Ministerio de Economía y Competitividad, Agencia Estatal de Investigación (AEI) and Fondo Europeo de Desarrollo Regional (FEDER) (MTM2016-78227-C2-1-P and MTM2017-90584-REDT), Spain.
The aim of this paper is to use a unified approach in order to obtain new inequalities for a large family of topological indices restricted to trees and to characterizethe set of extremal trees with respect to them. Our main results provide upperand lower bounThe aim of this paper is to use a unified approach in order to obtain new inequalities for a large family of topological indices restricted to trees and to characterizethe set of extremal trees with respect to them. Our main results provide upperand lower bounds for a large class of topological indices on trees, fixing or not themaximum degree or the number of pendant vertices. This class includes the variablefirst Zagreb, the multiplicative second Zagreb, the Narumi-Katayama and the sumlordeg indices. In particular, our results on the sum lordeg index partially solve anopen problem on this index.[+][-]