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Vertex-Magic Total Labelings

  • W. D. Wallis

Abstract

A one-to-one map X from EV onto the integers 1, 2, …, e + v is a vertex-magic total labeling if there is a constant h so that for every vertex x, λ(x) + ∑λ(xy) = h(3.1) where the sum is over all vertices y adjacent to x. So the magic requirement is wt(x) — h for all x. The constant h is called the magic constant for λ. Again, a graph with a vertex-magic total labeling will be called vertex-magic

Keywords

Regular Graph Complete Bipartite Graph Internal Vertex Edge Label Edge Coloring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • W. D. Wallis
    • 1
  1. 1.Department of MathematicsSouthern Illinois UniversityCarbondaleUSA

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