RT Journal Article
T1 A unified approach to bounds for topological indices on trees and applications
A1 Martinez-Perez, Alvaro
A1 Rodríguez García, José Manuel
AB 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 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.
PB MATCH
SN 0340-6253
YR 2019
FD 2019-09
LK https://hdl.handle.net/10016/36285
UL https://hdl.handle.net/10016/36285
LA eng
NO 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.
DS e-Archivo
RD 1 sept. 2024