English

Minimal 3-regular Penny Graph

Combinatorics 2026-02-25 v2

Abstract

We prove that a 3-regular penny graph has at least 16 vertices and show that such a graph with 16 vertices exists.

Cite

@article{arxiv.2602.01287,
  title  = {Minimal 3-regular Penny Graph},
  author = {Alexander Karabegov and Tanya Khovanova},
  journal= {arXiv preprint arXiv:2602.01287},
  year   = {2026}
}

Comments

12 pages

R2 v1 2026-07-01T09:30:18.775Z