Martinez-Perez, AlvaroRodríguez García, José Manuel2023-01-172023-01-172019-09Martínez-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), 679-698.0340-6253https://match.pmf.kg.ac.rs/content82n3.htmhttps://hdl.handle.net/10016/36285The 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.20eng© match, 2019research articleMatemáticasopen access6793698MATCH Communications in Mathematical and in Computer Chemistry82AR/0000026467