Inequalities on the geometric-arithmetic index

Authors : Ana GRANADOS, Ana PORTİLLA, Jose Manuel RODRIGUEZ GARCIA, Jose SİGARRETA

Pages : 778-794

Doi:10.15672/hujms.749744

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Publication Date : 2021-06-07

Article Type : Research Paper

Abstract :Although the notion of geometric-arithmetic index has been introduced in the chemical graph theory these past years, it has already proved to be useful. The objective of the work we present here is twofold: First, obtaining new relations connecting the geometric-arithmetic index with other topological indices; second, to characterize graphs which are extremal with respect to those relations.
Keywords : geometric arithmetic index, vertex degree based topological index, variable Zagreb index