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Subsquare-free Latin squares of odd order

Maenhaut, Barbara; Wanless, Ian; Webb, Bridget S.

Description

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

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
URI: http://hdl.handle.net/1885/52844
Source: Journal of Combinatorics
DOI: 10.1016/j.ejc.2005.07.002

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