Wanless, Ian M. and Webb, Bridget S.
|DOI (Digital Object Identifier) Link:||http://doi.org/10.1007/s10623-006-8168-9|
|Google Scholar:||Look up in Google Scholar|
A latin square is a bachelor square if it does not possess an orthogonal mate; equivalently, it does not have a decomposition into disjoint transversals. We define a latin square to be a confirmed bachelor square if it contains an entry through which there is no transversal. We prove the existence of confirmed bachelor squares for all orders greater than three. This resolves the existence question for bachelor squares.
|Item Type:||Journal Article|
|Keywords:||Latin square; Bachelor square; MOLS; Transversal; Latin trade|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Bridget Webb|
|Date Deposited:||20 Jun 2006|
|Last Modified:||02 Aug 2016 12:54|
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