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arXiv · 1610.06262

There are asymptotically the same number of Latin squares of each parity

Nicholas J. Cavenagh·Ian M. Wanless
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Abstract

A Latin square is reduced if its first row and column are in natural order. For Latin squares of a particular order $n$ there are four possible different parities. We confirm a conjecture of Stones and Wanless by showing asymptotic equality between the numbers of reduced Latin squares of each possible parity as the order $n\rightarrow\infty$.

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Nicholas J. Cavenagh, Ian M. Wanless. 2016-10-20. There are asymptotically the same number of Latin squares of each parity. https://doi.org/10.1017/s0004972716000174

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