Arithmetic–geometric index and its relations with geometric–arithmetic index

Saša Vujošević, Goran Popivoda, Žana Kovijanić Vukićević, Boris Furtula and Riste Škrekovski

Applied Mathematics and Computation, 2021, vol. 391, issue C

Abstract: The arithmetic–geometric index (AG(G)) was recently introduced as a modification of the well-known geometric–arithmetic index (GA(G)). This paper reports results on searching for extremal AG-graphs for various classes of simple graphs. Additionally, relations between these two indices are elaborated. Results on combinations AG+GA,AG−GA,AG · GA, and AG/GA are given. The paper is concluded with four conjectures that have been derived based on computer investigations.

Keywords: Arithmetic–geometric index; Geometric–arithmetic index; Lower and upper bounds; Chemical trees (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:391:y:2021:i:c:s0096300320306597

DOI: 10.1016/j.amc.2020.125706

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