Group Distance Magic Labeling of Graphs and their Direct Product

Wasim Ashraf, Hani Shaker, Muhammad Imran, Kiki Ariyanti Sugeng

Research output: Contribution to journalArticlepeer-review


A graph G is said to have the group distance magic labeling if there exists an abelian group H and one-one map A from the vertex set of G to the group elements such that x∈N (u) A(x) = μ for all u ∈ V, where N (u) is the open neighborhood of u and μ ∈ H is the magic constant, more specifically such graph is called H-distance magic graph. In this paper, we prove anti-prism graphs are Z2n, Z2× Zn, Z3× Z6m, Z4× Z6m, and Z6× Z6m-distance magic graphs. This paper also concludes the group distance magic labeling of direct product of the anti-prism graphs.

Original languageEnglish
Pages (from-to)18-26
Number of pages9
JournalUtilitas Mathematica
Publication statusPublished - 2022
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics


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