English

Orientable triangular embeddings of the complete graphs on 36s vertices from noncyclic current graphs

Combinatorics 2025-09-09 v1

Abstract

Mark Jungerman's 1975 Ph.D. thesis presents several infinite families of index 2 current graphs that generate triangular embeddings of complete or near-complete graphs. However, there is one family mentioned, the complete graphs on 36s36s vertices, where Jungerman solves only the first case s=1s = 1. We generalize this example to all s1s \geq 1.

Keywords

Cite

@article{arxiv.2509.05616,
  title  = {Orientable triangular embeddings of the complete graphs on 36s vertices from noncyclic current graphs},
  author = {Avinh Huynh and Timothy Sun},
  journal= {arXiv preprint arXiv:2509.05616},
  year   = {2025}
}

Comments

6 pages, 4 figures

R2 v1 2026-07-01T05:24:10.624Z