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Questions tagged [latin-square]

For questions about latin squares, latin rectangles, their enumeration, their properties, generalisations and related combinatorial configurations such as MOLS (sets of Mutually Orthogonal Latin Squares).

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Comparability of elements in a Latin square based on a few rows

Let $\Pi=\{\pi_1,\pi_2,\dots,\pi_n\}$ be the rows of an $n\times n$ Latin square (the order of the rows does not matter). Each row $\pi_i$ induces an order $\prec_i$ on the elements of $[1,n]$, where $...
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