The Existence of $N_2$ Resolvable Latin Squares

An $N_2$ resolvable Latin square is a Latin square with no $2\times2$ subsquares that also has an orthogonal mate. In this paper we show that $N_2$ resolvable Latin squares exist for all orders $n$ with $n\neq2,4,6,8$.

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Bibliographic Details
Published in:SIAM journal on discrete mathematics 2009-01, Vol.23 (3), p.1217-1237
Main Authors: Wolfe, A. J., Ling, A. C. H., Dinitz, J. H.
Format: Article
Language:English
Subjects:
Mathematical analysis
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Description
Summary:An $N_2$ resolvable Latin square is a Latin square with no $2\times2$ subsquares that also has an orthogonal mate. In this paper we show that $N_2$ resolvable Latin squares exist for all orders $n$ with $n\neq2,4,6,8$.
ISSN:0895-4801
1095-7146
DOI:10.1137/080731013