Group vertex magic labeling of some special graphs

For any additive abelian group A. Let μ be an element of A, a graph $G=(V,E)$ is said to be A-vertex magic graph if there exist a labeling function f:V(G)→ A\0\ such that ω(v)=∑u∈ N(v) f(u)=μ for any vertex v of G, where $N(v)$ is the set of the open neighborhood of v. In this paper, we prove that the graphs such as wheel, Corona Cₙ mk, subdivision of ladder and t-fold wheel for t≠ n nor $n-2$ are A-vertex magic graphs. Also we prove that the subdivide wheel, helm and closed helm are Zₖ-vertex magic graphs. However we prove that the triangular book and t-fold wheel for $t=n,n-2$ are group vertex magic graphs.