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Avoiding Pairs of Partial Latin Squares

✍ Scribed by Jaromy Kuhl, Hannah Hinojosa


Book ID
120788839
Publisher
Springer Japan
Year
2013
Tongue
English
Weight
629 KB
Volume
30
Category
Article
ISSN
0911-0119

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In this paper we consider the following problem: Given a partial n Γ— n latin square P on symbols 1, 2 .... , n, is it possible to find an n x n latin square L on the same symbols which differs from P in every cell? In other words, is P avoidable? We show that all 2k Γ— 2k partial latin squares for k

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