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For any additive abelian group A. Let 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 (v) =ₔ ₍ (ₕ) f (u) = 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 C₍ 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 Z₊-vertex magic graphs. However we prove that the triangular book and t-fold wheel for t=n, n-2 are group vertex magic graphs.
M. Basher (Mon,) studied this question.
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