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A formula for the number of Latin squares

✍ Scribed by Jia-yu Shao; Wan-di Wei

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
186 KB
Volume
110
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES

On the Number of Even and Odd Latin Squa
On the Number of Even and Odd Latin Squares of Orderp+1
✍ Arthur A Drisko πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 358 KB

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

Embedding a latin square in a pair of or
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✍ Peter Jenkins πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 123 KB

## Abstract In this paper, it is shown that a latin square of order __n__ with __n__ β‰₯ 3 and __n__ ≠ 6 can be embedded in a latin square of order __n__^2^ which has an orthogonal mate. A similar result for idempotent latin squares is also presented. Β© 2005 Wiley Periodicals, Inc. J Combin Designs 1

The recognition of symmetric latin squar
The recognition of symmetric latin squares
✍ Edwin C. Ihrig; Benjamin M. Ihrig πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 118 KB

## Abstract A latin square __S__ is isotopic to another latin square __S__β€² if __S__β€² can be obtained from __S__ by permuting the row indices, the column indices and the symbols in __S__. Because the three permutations used above may all be different, a latin square which is isotopic to a symmetric