Volume :3 , Issue :2 ,Page :108-114

Abstract : For a graph G, let V(G) and E(G) denote it s vertex set and edge set respectively. Let V  (G) = {v  : v  V(G)} be a copy of V(G). The Super duplicate grap h D*(G) of G is the graph whose vertex set is V(G)  V  (G) and edge set is E(  G)  {u  v, uv  : uv  V(G)}, where  G is the complement of G. In this paper, radius and diameter of D*(G) are determined. Also su fficient conditions are obtained for D*(G) to be self-centered with radius three.