Upper and lower bounds for topological indices on unicyclic graphs
Combinatorics
2021-03-16 v1
Abstract
The aim of this paper is to obtain new inequalities for a large family of topological indices restricted to unicyclic graphs and to characterize the set of extremal unicyclic graphs with respect to them. This family includes variable first Zagreb, variable sum exdeg, multiplicative second Zagreb and Narumi-Katayama indices. Our main results provide upper and lower bounds for these topological indices on unicyclic graphs, fixing or not the maximum degree or the number of pendant vertices.
Keywords
Cite
@article{arxiv.2103.07705,
title = {Upper and lower bounds for topological indices on unicyclic graphs},
author = {Álvaro Martínez-Pérez and José M. Rodríguez},
journal= {arXiv preprint arXiv:2103.07705},
year = {2021}
}
Comments
15 pages