Even latin squares of order 10

12/30/2020

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by   Carolin Hannusch, et al.

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The Alon-Tarsi Conjecture says that the number of even latin squares of even order is not equal to the number of odd latin squares of the same order. The conjecture is known to be true for n≤ 8 and for all n=2^r· p, where p is prime. In the current paper we show that the number of even latin squares is greater than the number of odd latin squares for n=10.