English

On the upper embedding of Steiner triple systems and Latin squares

Combinatorics 2019-11-19 v1

Abstract

It is proved that for any prescribed orientation of the triples of either a Steiner triple system or a Latin square of odd order, there exists an embedding in an orientable surface with the triples forming triangular faces and one extra large face.

Keywords

Cite

@article{arxiv.1911.07664,
  title  = {On the upper embedding of Steiner triple systems and Latin squares},
  author = {Terry S. Griggs and Thomas A. McCourt and Jozef Siran},
  journal= {arXiv preprint arXiv:1911.07664},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1904.02919