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On k-Super Mean Labeling

Journal: International Journal of Scientific Engineering and Research (IJSER) (Vol.5, No. 8)

Publication Date:

Authors : ; ;

Page : 92-95

Keywords : ? C?_n+v_1 v_(3 ); SL_(n ); C_n?K_(1 )A_n^m(P_m A K_(12) )?P_n.;

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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.

Last modified: 2021-07-08 16:11:07