Further results on odd mean labeling of some subdivision graphs

Let G(V;E) be a graph with p vertices and q edges. A graph G is said to have an odd mean labeling if there exists a function f : V (G) ! f0; 1; 2; : : : ; 2q 􀀀 1g sat- isfying f is 1 􀀀 1 and the induced map f : E(G) ! f1; 3; 5; : : : ; 2q 􀀀 1g dened by f(uv) = ( f(u)+f(v) 2 if f(u) + f(v) is even f(u)+f(v)+1 2 if f(u) + f(v) is odd is a bijection. A graph that admits an odd mean labeling is called an odd mean graph. In this paper, we have studied an odd meanness property of the subdivision of the slanting ladder SLn for all n 2; CnK1 for n 3; the grid PmPn for m; n 2; Cm@Cn for m; n 3 and P2m nK1 for all m; n 1:.