On the upper embedding of Steiner triple systems and Latin squares

Authors

  • Terry S. Griggs The Open University, United Kingdom
  • Thomas A. McCourt Craigslea State High School, Australia
  • Jozef Širáň The Open University, United Kingdom and Slovak University of Technology, Slovakia

DOI:

https://doi.org/10.26493/1855-3974.1959.9c7

Keywords:

Upper embedding, Steiner triple system, Latin square

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.

Downloads

Published

2020-09-29

Issue

Vol. 18 No. 1 (2020)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/