English

The M\"obius-Kantor graph is a faithful unit-distance graph

Combinatorics 2025-08-12 v1

Abstract

In this paper, it has been shown that the generalized Petersen graph GP(8,3)\mathrm {GP}(8,3), also known as the M\"obius-Kantor graph, admits a faithful unit-distance representation in the plane.

Keywords

Cite

@article{arxiv.2508.06618,
  title  = {The M\"obius-Kantor graph is a faithful unit-distance graph},
  author = {Nino Bašić and Gábor Gévay and Tomaž Pisanski},
  journal= {arXiv preprint arXiv:2508.06618},
  year   = {2025}
}

Comments

6 pages, 3 figures, 1 table, 9 references