English

Geometric-Arithmetic index and line graph

Combinatorics 2020-04-07 v1

Abstract

The concept of geometric-arithmetic index was introduced in the chemical graph theory recently, but it has shown to be useful. The aim of this paper is to obtain new inequalities involving the geometric-arithmetic index GA1GA_1 and characterize graphs extremal with respect to them. Besides, we prove inequalities involving the geometric-arithmetic index of line graphs.

Keywords

Cite

@article{arxiv.2004.01753,
  title  = {Geometric-Arithmetic index and line graph},
  author = {Domingo Pestana and Jose María Sigarreta and Eva Tourís},
  journal= {arXiv preprint arXiv:2004.01753},
  year   = {2020}
}
R2 v1 2026-06-23T14:38:49.435Z