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Danziger, Peter; Wanless, Ian M. and Webb, Bridget S.
(2011).
DOI: https://doi.org/10.1016/j.jcta.2010.11.011
Abstract
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.
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About
- Item ORO ID
- 25356
- Item Type
- Journal Item
- ISSN
- 0097-3165
- Keywords
- Latin square; Monogamous square; MOLS; maxMOLS; Transversal Latin square; Monogamous square; MOLS; maxMOLS; Transversal Latin square; Monogamous square; MOLS; maxMOLS; Transversal
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2011 Elsevier
- Depositing User
- Bridget Webb