On the upper embedding of Steiner triple systems and Latin squares

Terry S. Griggs, Thomas A. McCourt, Jozef Širáň

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


Upper embedding, Steiner triple system, Latin square

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

ISSN: 1855-3974

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