The geometric-arithmetic and atom-bond connectivity indices are of interesting and applied indices in the chemical graph theory. Let G = (V,E) be a simple, undirected and connected graph with vertex set V and edge set E. The second geometric-arithmetic and second atom-bond connectivity indices of a graph G are defined as, GA2 (G) =, where nu is the number of vertices of graph G lying closer to u and nv is the number of vertices of graph G lying closer to v. In this paper, we intend to demonstrate the relations between second geometric-arithmetic index and second atom-bond connectivity index for general and special class of graphs.
