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Critical sets in latin squares: an intriguing problem

Published online by Cambridge University Press:  01 August 2016

Donald Keedwell
Donald Keedwell*
Affiliation:
Department of Mathematics and Statistics, University of Surrey, Guildford GU2 7XH
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Extract

A latin square of order n is an n × n array (or matrix) containing n distinct symbols (which are often taken to be the symbols 0, 1, …, n - 1, though any n symbols will do) arranged in such a way that all n of these symbols occur in the n cells of each row and also in the n cells of each column. Such squares occur in many guises: for example, as appropriate field layouts in the statistical design of experiments, as the addition or multiplication tables of groups, as a coding theory device and as a means of representing a finite geometry algebraically.

Type
Articles
Information
The Mathematical Gazette , Volume 85 , Issue 503 , July 2001 , pp. 239 - 244
Copyright
Copyright © The Mathematical Association 2001

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References

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