Discussiones Mathematicae Graph Theory (May 2019)

Orientable ℤN-Distance Magic Graphs

  • Cichacz Sylwia,
  • Freyberg Bryan,
  • Froncek Dalibor

DOI
https://doi.org/10.7151/dmgt.2094
Journal volume & issue
Vol. 39, no. 2
pp. 533 – 546

Abstract

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Let G = (V, E) be a graph of order n. A distance magic labeling of G is a bijection ℓ: V → {1, 2, . . ., n} for which there exists a positive integer k such that ∑x∈N(v)ℓ(x) = k for all v ∈ V, where N(v) is the open neighborhood of v.

Keywords