Danziger, Peter; Wanless, Ian M. and Webb, Bridget S.
|DOI (Digital Object Identifier) Link:||http://dx.doi.org/10.1016/j.jcta.2010.11.011|
|Google Scholar:||Look up in Google Scholar|
We show for all n not in that there exists a latin square of order n that contains two entries γ_1 and γ_2 such that there are some transversals through γ_1 but they all include γ_2 as well. We use this result to show that if n>6 and n is not of the form 2p for a prime p greater or equal to 11 then there exists a latin square of order n that possesses an orthogonal mate but is not in any triple of MOLS. Such examples provide pairs of 2-maxMOLS.
|Item Type:||Journal Article|
|Copyright Holders:||2011 Elsevier|
|Keywords:||Latin square; Monogamous square; MOLS; maxMOLS; Transversal Latin square; Monogamous square; MOLS; maxMOLS; Transversal Latin square; Monogamous square; MOLS; maxMOLS; Transversal|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
|Depositing User:||Bridget Webb|
|Date Deposited:||27 Jan 2011 14:12|
|Last Modified:||15 Jan 2016 15:25|
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