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
✦ LIBER ✦
Sets of mutually orthogonal latin squares with “like subsquares,” II
✍ Scribed by Charles E Roberts Jr.
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 260 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
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