Automorphisms of a finite p-group with cyclic Frattini subgroup

Let G be a group and AutΦ(G) denote the group of all automorphisms of G centralizing G/Φ(G) elementwise‎. ‎In this paper‎, ‎we characterize the finite p-groups G with cyclic Frattini subgroup for which |AutΦ(G):Inn(G)|=p‎.