DefinePK

Abstract

Let G be a graph with vertex set and edge set and let . A one-to-one map from onto the integers is called vertex magic total labeling if there is a constant so that for every vertex , where the sum is over all vertices adjacent to . Let us call the sum of labels at vertex x the weight of the vertex under labeling ; we require for all . The constant is called the magic constant for . In this paper, we present the vertex magic total labelings of disconnected graph, in particular, two copies of isomorphic generalized Petersen graphs , disjoint union of two non-isomorphic suns and t copies of isomorphic suns .