English

On certain topological indices of graphs

Combinatorics 2022-10-25 v1

Abstract

In this paper we give new bounds for a several vertex-based and edge-based topological indices of graphs: Albertson irregularity index, degree variance index, Mostar and the first Zagreb index. Moreover, we give a new upper bound for the energy of graphs through IRB-index. Most of our results rely on a well-known characterization of the Laplacian spectral radius.

Keywords

Cite

@article{arxiv.2210.12981,
  title  = {On certain topological indices of graphs},
  author = {Arber Avdullahu and Slobodan Filipovski},
  journal= {arXiv preprint arXiv:2210.12981},
  year   = {2022}
}