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Related necessary conditions for completing partial latin squares

✍ Scribed by Rick Giles; T Oyama; L.E Trotter Jr.

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
749 KB
Volume
29
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES

Completing some Partial Latin Squares
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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

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The HAHN-BANACH-theorem is known to have fundamental importance for several fields of mathematics. This theorem is not used concerning functionals, but operators which map into a real partially ordered vector space. In this paper is shown that the validity of this theorem is equivalent t o the vali