• ARITHMETIC-GEOMETRIC INDICES OF AMALGAMATION OF TWO GRAPHS

Abstract

Let G be a molecular graph. The Arithmetic-Geometric (AG) indices of G are defined as AG (G)= where du (or dv) denote the degree of the vertex u (or v), respectively. In this paper we introduce an amalgamation operation on the path graph and cycle graph such that resulting graph G: P_n&C_m is introduced between co-relation of the path graph and cycle graph. We investigate the topological indices like arithmetic-geometric index for the graphs P_n & C_m.