On the edge-version atom-bond connectivity and geometric arithmetic indices of certain graph operations

摘要

Let dL(G)(e) be the degree of an edge e in line graph L(G) of a graph G. The edge versions of atom-bond connectivity (ABCe) and geometric arithmetic (GAe) indices of G are defined as ∑ef∈E(L(G))(dL(G)(e)+dL(G)(f)−2dL(G)(e)×dL(G)(f) and GAe(G)=∑ef∈E(L(G))2dL(G)(e)dL(G)(f)dL(G)(e)+dL(G)(f). In this paper, we study the ABCe and GAe indices for joint graphs and certain graph operations.