Group magicness of certain planar graphs

Let A be a non-trivial abelian group and A = A n f0g. A graph G is said to be A-magic graph if there exists a labeling l : E(G) ! A such that the induced vertex labeling l+ : V (G) ! A, dene by l+(v) = ? uv2E(G) l(uv) is a constant map. The set of all constant integers such that ?u2N(v) l(uv) = c, for each v 2 N(v), where N(v) denotes the set of adjacent vertices to vertex v in G, is called the index set of G and denoted by InA(G): In this paper we determine the index set of certain planar graphs for Zh, where h 2 N, such as wheels and fans.