The Open UniversitySkip to content
 

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/10.1016/j.ejc.2005.07.002
Google Scholar: Look up in Google Scholar

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
Share this page:

Altmetrics

Scopus Citations

Actions (login may be required)

View Item
Report issue / request change

Policies | Disclaimer

© The Open University   + 44 (0)870 333 4340   general-enquiries@open.ac.uk