On k-Super Mean Labeling

Dr. M. Tamilselvi, T. Priya

Abstract: Let G be a (p, q) graph and f:V(G)?{k, k+1, k+2, ?, p+q+k-1} be an injection. For each edge e = uv, letf^* (e)=(f(u)+f(v))/2 if f(u)+f(v) is even andf^* (e)=(f(u)+f(v)+1)/2 if f(u)+f(v) is odd, then f is called k-Super mean labeling if f(V)?{f^* (e):e?E(G)}={k, k+1, k+2, ?, p+q+k-1}. A graph that admits k- Super mean labeling is called k-Super mean graph. In this paper, we investigate k-super mean labeling of ? C?_n+v_1 v_(3 ), SL_(n ), C_n?K_(1 ), A_n^m, (P_m A K_(1, 2) )?P_n.

Keywords: ? C?_n+v_1 v_(3 ), , SL_(n ), C_n?K_(1 ),A_n^m,(P_m A K_(1,2) )?P_n.