𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Towards the spectrum of room squares with subsquares

✍ Scribed by D.R Stinson; L Zhu

Book ID
107885195
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
649 KB
Volume
63
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The existence of orthogonal diagonal Lat
The existence of orthogonal diagonal Latin squares with subsquares
✍ B. Du πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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.

Existence of orthogonal latin squares wi
Existence of orthogonal latin squares with aligned subsquares
✍ Katherine Heinrich; L Zhu πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 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