On the upper embedding of Steiner triple systems and Latin squares

Griggs, Terry S.; McCourt, Thomas A. and Širáň, Jozef (2020). On the upper embedding of Steiner triple systems and Latin squares. Ars Mathematica Contemporanea, 18(1) pp. 127–135.

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

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.

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