Results on Hefty V4-Vertex Magic Graph Labeling

Abstract

Let V₄ be an abelian group under multiplication. Let g : E(G) →V₄ −{1}. The vertex magic labeling on V₄ is defined as the vertex labeling g^∗ : V (G) →V₄ such that ), where the product is taken over all edges uv of G incident at v is a constant. If the constant is 1, it becomes a Hefty V₄-vertex magic labeling. A graph is said to be Hefty V₄-magic graph if it admits a Hefty V₄-vertex magic labeling. In this paper we investigate the Hefty V₄-vertex magic labeling behaviour of graphs like Bipartite, Complete graph, Cayley graph etc.