On a generalization of the Evans Conjecture
type: Item
instance of: scholarly article
title: On a generalization of the Evans Conjecture
zbMATH Open document ID: 1157.05015
author: Jaromy Kuhl
author: Tristan Denley
published in: Discrete Mathematics
publication date: 2008-09-04T00:00:00Z
review text: Evan's Conjecture said that an \(n \times n\) square with at most \(n-1\) entries predetermined without contradiction can be completed to an \(n \times n\) Latin square. An \(r\)-multi Latin square is a square of order \(n\) where each cell has \(r\) symbols from an \(nr\)-set so that in each row and column every symbol appears exactly once. The authors show here that any partial \(r\)-multi Latin square with of order \(n\) with at most \(n-1\) cells predetermined without contradiction can be completed to an \(r\)-multi Latin square.
reviewed by: Dan S. Archdeacon
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 5321347
zbMATH Keywords: Evan's conjecture
zbMATH Keywords: complete partial \(r\)-multi Latin square
MaRDI profile type: Publication
full work available at URL: j.disc.2007.08.091
OpenAlex ID: W1988915394
Wikidata QID: Q122900270
cites work: Thank Evans!
cites work: Q4529303
cites work: Completing some partial Latin squares
cites work: Q4677944
cites work: Embedding Incomplete Latin Squares
cites work: Q3861414
cites work: A Combinatorial Theorem with an Application to Latin Rectangles
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DOI: 10.1016/J.DISC.2007.08.091
description: scientific article; zbMATH DE number 5321347