Bounds on the Arithmetic-Geometric Index

The concept of arithmetic-geometric index was recently introduced in chemical graph theory, but it has proven to be useful from both a theoretical and practical point view. aim this paper is obtain new bounds the characterize extremal graphs with respect them. Several are based on other indices, such as second variable Zagreb or general atom-bond connectivity index), some them involve parameters, number edges, maximum degree, minimum degree graph. In most bounds, for which equality attained regular biregular, star graphs.