Subsquare-free Latin squares of odd order

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

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Subsquare-free Latin squares of odd order

Date

2007

Authors

Maenhaut, Barbara

Wanless, Ian

Webb, Bridget S.

Publisher

International Press

Abstract

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.

URI

http://hdl.handle.net/1885/52844

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ANU Research Publications

Source

Journal of Combinatorics

Type

Journal article

DOI

10.1016/j.ejc.2005.07.002

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2037-12-31

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Subsquare-free Latin squares of odd order

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