On the Geometric-Arithmetic Index

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2015 English Publisher:Ivan Gutman, Faculty of Science (University of Kragujevac, Serbia)

Authors: Rodríguez García, José Manuel; Sigarreta Almira, José María;

handle: 10016/35067

On the Geometric-Arithmetic Index

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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 GA1 and characterize graphs extremal with respect to them. In particular, we improve some known inequalities and we relate GA1 to other well known topological indices.

Keywords

Matemáticas, Geometric–arithmetic index, Graph invariant, Inequalities

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