Totally magic graphs

@article{Exoo2002TotallyMG,
  title={Totally magic graphs},
  author={Geoffrey Exoo and Alan C. H. Ling and John P. McSorley and Nicholas C. K. Phillips and Walter D. Wallis},
  journal={Discrete Mathematics},
  year={2002},
  volume={254},
  pages={103-113}
}
A total labeling of a graph with v vertices and e edges is defined as a one-to-one map taking the vertices and edges onto the integers 1, 2, · · · , v+e. Such a labeling is vertex magic if the sum of the label on a vertex and the labels on its incident edges is a constant independent of the choice of vertex, and edge magic if the sum of an edge label and the labels of the endpoints of the edge is constant. In this paper we examine graphs possessing a labeling that is simultaneously vertex magic… CONTINUE READING
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