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

Tral 

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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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