It is shown that given an odd prime p, the number of even latin squares of order p+1 is not equal to the number of odd latin squares of order p+1. This result is a special case of a conjecture of Alon and Tarsi and has implications for various other combinatorial problems, including conjectures of R
โฆ LIBER โฆ
On the Number of Latin Squares
โ Scribed by Brendan D. McKay; Ian M. Wanless
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 139 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0218-0006
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## Abstract In this paper, we study the problem of constructing sets of __s__ latin squares of order __m__ such that the average number of different ordered pairs obtained by superimposing two of the __s__ squares in the set is as large as possible. We solve this problem (for all __s__) when __m__
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