On avoiding odd partial Latin squares and \(r\)-multi Latin squares
type: Item
instance of: scholarly article
title: On avoiding odd partial Latin squares and \(r\)-multi Latin squares
zbMATH Open document ID: 1119.05017
author: Tristan Denley
author: Jaromy Kuhl
published in: Discrete Mathematics
publication date: 2007-01-09T00:00:00Z
review text: A partial Latin square \({\mathcal R}\) is avoidable if there exists a Latin square \({\mathcal L}\) such that the entries in corresponding cells are never equal. The authors extend a result of \textit{A. G. Chetwynd} and \textit{S. J. Rhodes} [Discrete Math. 177, 17--32 (1997; Zbl 0898.05008)] and establish that every partial Latin square of odd order at least 7 that contains an empty row (or column) is avoidable. They also prove several results regarding avoidability for partial \(r\)-multi Latin squares.
reviewed by: Chester J. Salwach
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 5083203
zbMATH Keywords: partial \(r\)-multi Latin squares
zbMATH Keywords: avoidable
MaRDI profile type: Publication
full work available at URL: j.disc.2006.05.028
OpenAlex ID: W2138391391
cites work: Thank Evans!
cites work: Q3682518
cites work: List edge and list total colourings of multigraphs
cites work: Avoiding partial Latin squares and intricacy
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cites work: A note on Latin squares with restricted support
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DOI: 10.1016/J.DISC.2006.05.028
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description: scientific article; zbMATH DE number 5083203