๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The Existence of a Subsquare Free Latin Square of Side 12

โœ Scribed by Gibbons, P. B.; Mendelsohn, E.

Book ID
118212517
Publisher
Society for Industrial and Applied Mathematics
Year
1987
Weight
643 KB
Volume
8
Category
Article
ISSN
0196-5212

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Existence of orthogonal latin squares wi
Existence of orthogonal latin squares with aligned subsquares
โœ Katherine Heinrich; L Zhu ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 600 KB

It is shown that for both v and n even, v > n > 0, there exists a pair of orthogonal latin squares of order v with an aligned subsquare of order n if and only if v ~> 3n, v ~ 6, n 4= 2, 6. This is the final case in showing that the above result is true for all v J: 6 and for all n ~ 2, 6. When n = 6

The existence of orthogonal diagonal Lat
The existence of orthogonal diagonal Latin squares with subsquares
โœ B. Du ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 518 KB

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.

The Existence of $N_2$ Resolvable Latin
The Existence of $N_2$ Resolvable Latin Squares
โœ Wolfe, A. J.; Ling, A. C. H.; Dinitz, J. H. ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Society for Industrial and Applied Mathematics ๐ŸŒ English โš– 263 KB