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On orthogonal latin squares

โœ Scribed by C.F Woodcock


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
115 KB
Volume
43
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES


On seven mutually orthogonal Latin squar
โœ Mieczyslaw Wojtas ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 727 KB

Let N(n) denote the maximum numner of mutually orthogonal Latin squares of order n. II is shown that N(n) 3 7 for n > 4922.

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## Abstract An orthogonal latin square graph (OLSG) is one in which the vertices are latin squares of the same order and on the same symbols, and two vertices are adjacent if and only if the latin squares are orthogonal. If __G__ is an arbitrary finite graph, we say that __G__ is realizable as an O

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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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