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Latin square (Definition)

A Latin square of order$ n$ is an $ n\times n$ array such that each column and each row are made with the same $ n$ symbols, using every one exactly once .

Examples.

$\displaystyle \left(\begin{array}{cccc} a & b & c & d\\ c & d & a &b\\ d & c & ... ... 1 & 2& 3& 4\\ 4 & 3 & 2 & 1\\ 2 & 1 & 4 & 3\\ 3 & 4 & 1 & 2 \end{array}\right)$    



"Latin square" is owned by Mathprof. [ full author list (2) | owner history (2) ]
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example of Latin squares (Example) by jgade
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Cross-references: row, column
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This is version 3 of Latin square, born on 2002-01-31, modified 2006-09-30.
Object id is 1624, canonical name is LatinSquare.
Accessed 3594 times total.

Classification:
AMS MSC05B15 (Combinatorics :: Designs and configurations :: Orthogonal arrays, Latin squares, Room squares)

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