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The equidistant dimension of some graphs of convex polytopes

Combinatorics 2024-07-23 v1

Abstract

This paper is devoted to some rotationally symmetric classes of graphs denoted in literature as convex polytope graphs. Exact value of equidistant dimension is found for TnT_n. Next, for even nn exact values are found for RnR''_n and SnS''_n, while for odd nn exact value is found for SnS_n. Finally, for odd nn, lower bound are found for RnR''_n and SnS''_n.

Keywords

Cite

@article{arxiv.2407.15307,
  title  = {The equidistant dimension of some graphs of convex polytopes},
  author = {Aleksandar Savić and Zoran Maksimović and Milena Bogdanović and Jozef Kratica},
  journal= {arXiv preprint arXiv:2407.15307},
  year   = {2024}
}