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- W2950346779 abstract "The Alon-Tarsi Latin square conjecture is extended to odd dimensions by stating it for reduced Latin squares (Latin squares having the identity permutation as their first row and first column). A modified version of Onn's colorful determinantal identity is used to show how the validity of this conjecture implies a weak version of Rota's basis conjecture for odd dimensions, namely that a set of $n$ bases in $mathbb{R}^n$ has $n-1$ disjoint independent transversals." @default.
- W2950346779 created "2019-06-27" @default.
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- W2950346779 date "2011-10-09" @default.
- W2950346779 modified "2023-09-27" @default.
- W2950346779 title "A weak version of Rota's basis conjecture for odd dimensions" @default.
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