Subsquare-free Latin squares of odd order

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

doi:10.1016/j.ejc.2005.07.002

Subsquare-free Latin squares of odd order

Barbara Maenhaut^*, Ian M. Wanless, Bridget S. Webb

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	322-336
Number of pages	15
Journal	European Journal of Combinatorics
Volume	28
Issue number	1
DOIs	https://doi.org/10.1016/j.ejc.2005.07.002
Publication status	Published - Jan 2007

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10.1016/j.ejc.2005.07.002

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title = "Subsquare-free Latin squares of odd order",

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.",

author = "Barbara Maenhaut and Wanless, \{Ian M.\} and Webb, \{Bridget S.\}",

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AU - Wanless, Ian M.

AU - Webb, Bridget S.

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AB - 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.

UR - https://www.scopus.com/pages/publications/33748887462

U2 - 10.1016/j.ejc.2005.07.002

DO - 10.1016/j.ejc.2005.07.002

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VL - 28

SP - 322

EP - 336

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

IS - 1

ER -

Subsquare-free Latin squares of odd order

Abstract

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