k-MAGIC VERTEX LABELING WITH GROUP ELEMENTS

Let be a finite abelian group. Let be simple graph with vertices. By labeling of vertex set , we mean a one-to-one function . A weight function is a function , where . In this article, we consider the following two weight functions: and The graph is said to be ( ) graph if the cardinality of the set is . The results of this paper ascertain some well-known classes of graphs to be for specific instances of and .