VERTEX MAGIC AND EDGE MAGIC LABELINGS OF GRAPHS WITH GROUP ELEMENTS

Abstract

 Given a graph G with n vertices and m edges and an abelian group A of order equal to max(n,m). By labeling of A^∗-vertex magic labeling and A^∗-edge magic labeling we mean a pair one-to-one maps, one from V(G) to A, and another one from E(G) to A, rather than the bijection maps considered in the literature from V(G)∪E(G) to A, and new results were obtained.