Subsquare-free Latin squares of odd order

Maenhaut, Barbara; Wanless, Ian M. and Webb, Bridget S. (2007). Subsquare-free Latin squares of odd order. European Journal of Combinatorics, 28(1), pp. 322–336.

DOI (Digital Object Identifier) Link:	http://dx.doi.org/doi:10.1016/j.ejc.2005.07.002
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Abstract

For every odd positive integer m we prove the existence
of a Latin square of order 3m having no proper Latin subsquares. Combining this with previously known results it follows that subsquare-free Latin squares exist for all odd orders.

Item Type:	Journal Article
ISSN:	0195-6698
Keywords:	Latin square; subsquare-free Latin square
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	2951
Depositing User:	Bridget Webb
Date Deposited:	07 Feb 2007
Last Modified:	02 Dec 2010 19:48
URI:	http://oro.open.ac.uk/id/eprint/2951

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