Abstract
Let V 4 = {0, a, b, c} be the Klein-4-group with identity element 0. A graph G = (V(G), E(G)) with vertex set V(G) and edge set E(G), is said to be Neighbourhood V 4-magic if there exists a labeling f : V(G) → V 4\\{0} such that the sum is a constant map. If this constant is p, where p is any non zero element in V 4 , then we say that f is a p-neighbourhood V 4-magic labeling of G and G is said to be a p-neighbourhood V 4-magic graph. If this constant is 0, then we say that f is a 0-neighbourhood V 4-magic labeling of G and G is said to be a 0-neighbourhood V 4-magic graph. In this paper we study Neighbourhood V 4-magic labeling of some star and path related graphs.
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