๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Playing with Latin Squares

โœ Scribed by Michael Cornelius


Book ID
121666813
Year
1992
Weight
326 KB
Volume
21
Category
Article
ISSN
0305-7259

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Bagchi, Bhaskar ๐Ÿ“‚ Article ๐Ÿ“… 2012 ๐Ÿ› Indian Academy of Sciences ๐ŸŒ English โš– 214 KB
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Denote by LS(v, n) a pair of orthogonal latin squares of side v with orthogonal subsquares of side n. It is proved by using a generalized singular direct product that for every odd integer n ~>304 or every even integer n ~> 304 in some infinite families, an LS(v, n) exists if and only if v>~3n. It i

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## Abstract We prove that for all odd **__m__**โ‰ฅ**3** there exists a latin square of order 3 **__m__** that contains an (**__m__**โˆ’**1**) ร— **__m__** latin subrectangle consisting of entries not in any transversal. We prove that for all even **__n__**โ‰ฅ**10** there exists a latin square of order **_