Let G = (V, E) be a connected simple graph. For any non-trivial additive abelian group A , let A* = A ? {0}. A function f: E (G) ? A* is called a labeling of G. Any such labeling induces a map f + : V (G) ? A, defined by f+(v) = ? f(uv), where the sum is over all uv ? E(G). If there exist a labeling f whose induced map on V (G) is a constant map, we say that f is an A-magic labeling of G and that G is an A-magic graph. In this paper we obtained the group magic labeling of cycles with a common vertex, a chain of three cycles and even number of times even cycles in a chain.

A-magic labeling Group magic cycles with a common vertex chain of cycles