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

Abstract

© 2020 Elsevier Inc. 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.