On exponential geometric-arithmetic index of graphs

Investigation of chemical applicability and mathematical properties of topological indices is the contemporary research trend in chemical graph theory. The geometric arithmetic index (GA) stands out as an well nurtured index having strong correlation with properties and activities of molecules. Its exponential variant (EGA) is investigated here from chemical and mathematical point of view. The chemical connection of EGA is explored by assessing its structure–property modelling ability and isomer discrimination potential. Its mathematical features are demonstrated by finding bounds for numerous classes of graphs with characterizing extremal structures. Second maximum and minimum trees are characterized with respect to the EGA index.