• FACE MAGIC A- LABELING OF GRAPHS

Abstract

In this paper, we introduce the Face magic -labeling of graphs, where the labels are the elements of an arbitrary abelian group , of order  and the weight of each face is the product of the labels of all vertices and edges in the boundary of that face, an assignment of labels to the vertices and edges which induces an assignment of labels to the faces of a graph such that the weight of each face is constant. We discuss the Face magic -labeling of some graphs and the relationship between face, vertex and edge magic constants.