On 27.02.2014 at 12:20 in S6, there is the following noon lecture:
A remark on the Alon Tarsi conjecture
(joint work with Ron Aharoni) The sign of a latin square L of order n is the product of the 2n signs of all its rows and columns. L is called restricted if its first row and column is the identity permutation.
Alon-Tarsi conjecture: for each n even, the sum of the signs of the latin squares of order n is non-zero.
Wanless, Kotlar conjecture: for each n, the sum of the signs of the restricted latin squares of order n is non-zero.
We prove that these two conjectures are equivalent.
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