English

On the smallest parallel quadrangulation with minimum degree 3

Combinatorics 2017-11-21 v1

Abstract

The identity of the smallest quadrangulation with minimum degree 3 also containing parallel edges is unknown. However, it has already been determined that its order (the number of vertices) is between 11 and 14. This paper narrows this domain by showing that the order is at least 12.

Cite

@article{arxiv.1711.04033,
  title  = {On the smallest parallel quadrangulation with minimum degree 3},
  author = {Richard Kapolnai and Gabor Domokos and Imre Szeberenyi},
  journal= {arXiv preprint arXiv:1711.04033},
  year   = {2017}
}
R2 v1 2026-06-22T22:42:42.861Z