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Some partial Latin cubes and their completions

✍ Scribed by Jaromy Kuhl; Tristan Denley


Book ID
113582363
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
228 KB
Volume
32
Category
Article
ISSN
0195-6698

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πŸ“œ SIMILAR VOLUMES


Completing some Partial Latin Squares
✍ Tristan Denley; Roland HΓ€ggkvist πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 112 KB

We show that any partial 3r Γ—3r Latin square whose filled cells lie in two disjoint r Γ—r 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