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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.

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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
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