A graph G is called k-critically n-connected or simply (n, k)-graph, (n≥k≥1), if for all V′(?)V(G) with |V′|≤k, we have k(G-V′)=n-|V′|, where k(G) denotes the connectivity of G. This notion is introduced by Maurer and Slater in [1]. The following conjecture on a (n, k)-graph is proposed.