## Abstract

Let *G* = (*V, E*) be a connected graph with vertex set *V* (*G*) and edge set *E*(*G*). The product connectivity Banhatti index of a graph *G* is defined as, *ue* means that the vertex *u* and edge *e* are incident in *G*. In this paper, we determine *P B*(*G*) of some standard classes of graphs. We also provide some relationship between *P B*(*G*) in terms of order, size, minimum / maximum degrees and minimal non-pendant vertex degree. In addition, we obtain some bounds on *P B*(*G*) in terms of Randić, Zagreb and other degree based topological indices of *G*.