• GROUP MAGIC LABELING OF GENERALIZED CLOSED HELM

Abstract

For a connected simple graph G = (V, E) and for any non-trivial additive abelian group A, a function f: E (G) → A* where A* = A− {0} 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 uvÎE(G). If there exists 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 present an algorithm for the group magic labeling of the closed generalized helm.