A graph-theoretic proof of the non-existence of self-orthogonal Latin squares of order 6

DOI10.1016/j.disc.2009.12.016zbMath1229.05050OpenAlexW1990937980MaRDI QIDQ539882

Yong-Cai Geng, Sumit K. Garg

Publication date: 31 May 2011

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2009.12.016

zbMATH Keywords

latin squareorthogonal transpose

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (1)

An elementary, geometric proof of the non-existence of a projective plane of order 6.

Cites Work

• An LP-based proof for the non-existence of a pair of orthogonal Latin squares of order 6.
• A short proof of the nonexistence of a pair of orthogonal Latin squares of order six
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