2 papers
math.CO2019
On the upper embedding of Steiner triple systems and Latin squares
Terry S. Griggs, Thomas A. McCourt, Jozef Siran
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…
math.CO2016
On which groups can arise as the canonical group of a spherical latin bitrade
Kyle Bonetta-Martin, Thomas A. McCourt
We address a question of Cavenagh and Wanless asking: which finite abelian groups arise as the canonical group of a spherical latin bitrade? We prove the existence of an infinite f…