Vertex Magic Total Labelings of Graphs

  title={Vertex Magic Total Labelings of Graphs},
  author={Jim A. MacDougall and Mirka Miller},
A vertex magic total labeling of a graph with v vertices and e edges is de ned as a one to one map taking the vertices and edges onto the integers v e with the property that the sum of the label on a vertex and the labels on its incident edges is a constant independent of the choice of vertex Properties of these labelings are studied It is shown how to construct labelings for several families of graphs including cycles paths complete graphs of odd order and the complete bipartite graph Kn n It… CONTINUE READING