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The existence of orthogonal diagonal Latin squares with subsquares

✍ Scribed by B. Du

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 518 KB
Volume: 148
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)00260-p

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✦ Synopsis

We prove that there exists a pair of orthogonal diagonal Latin squares of order v with missing subsquares of side n (ODLS(v,n)) for all v ~> 3n + 2 and v -n even. Further, there exists a magic square of order v with missing subsquare of side n (MS(v, n)) for all v ~> 3n + 2 and v -n even.

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