Constrained completion of partial latin squares
β Scribed by Jaromy Kuhl; Tristan Denley
- Book ID
- 113567495
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 249 KB
- Volume
- 312
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
We show that any partial 3r Γ3r Latin square whose filled cells lie in two disjoint r Γr sub-squares can be completed. We do this by proving the more general result that any partial 3r by 3r Latin square, with filled cells in the top left 2r Γ 2r square, for which there is a pairing of the columns s
This paper deals with completion of partial latin squares L = (lij) of order n with k cyclically generated diagonals (li+t;j+t = lij + t if lij is not empty; with calculations modulo n). There is special emphasis on cyclic completion. Here, we present results for k = 2; : : : ; 7 and odd n 6 21, and