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arXiv · 2004.01753

Geometric-Arithmetic index and line graph

Domingo Pestana·Jose María Sigarreta·Eva Tourís
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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 $GA_1$ and characterize graphs extremal with respect to them. Besides, we prove inequalities involving the geometric-arithmetic index of line graphs.

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Domingo Pestana, Jose María Sigarreta, Eva Tourís. 2020-03-27. Geometric-Arithmetic index and line graph. https://doi.org/10.1007/s10910-018-00993-z

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