Knight's move squares
type: Item
instance of: scholarly article
title: Knight's move squares
zbMATH Open document ID: 0615.05018
DOI: 10.1016/0012-365X(87)90150-6
published in: Discrete Mathematics
publication date: 1987-01-01T00:00:00Z
review text: A strict knight's move square is a latin square in which any two cells which contain the same symbol are joined by a sequence of knight's moves using only cells containing that symbol. Knight's move squares, particularly those in which the square is on a torus, have been discussed for many years [see \textit{D. A. Preece}, Encyclopedia of Statistical Sciences, Vol. 4 (New York 1983), 504-510]. In this paper the author shows that strict knight's move squares exist if and only if either \(n=5\) or \(n\equiv O(mod 4)\).
reviewed by: Katherine Heinrich
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 3995701
zbMATH Keywords: knight's move square
zbMATH Keywords: latin square
author: Peter J. Owens
MaRDI profile type: Publication
cites work: Q4769064
cites work: On the nonexistence of Knut Vik designs for all even orders
cites work: A complete solution to the existence and nonexistence of Knut Vik designs and orthogonal Knut Vik designs
cites work: Q3709583
full work available at URL: 0012-365x(87)90150-6
OpenAlex ID: W2024779052
description: scientific article; zbMATH DE number 3995701