Existence of frame SOLS of type \(a^n b^1\)
type: Item
instance of: scholarly article
title: Existence of frame SOLS of type \(a^n b^1\)
zbMATH Open document ID: 0996.05018
DOI: 10.1016/S0012-365X(01)00213-8
author: R. Smith
published in: Discrete Mathematics
publication date: 2002-08-29T00:00:00Z
review text: A frame self-orthogonal Latin square, \(\text{FSOLS}(h_1^{n_1}h_2^{n_2}\dots h_k^{n_k})\), is a holey Latin square orthogonal to its transpose, where \(h_1^{n_1}h_2^{n_2}\dots h_k^{n_k}\) denotes its type based on the hole set which partitions the underlying set of elements. The authors use a series of constructions, either known or generalized, to prove the existence of \(\text{FSOLS}(a^nb^1)\), when \(n\) is even and \(\text{FSOLS}(a^n 1^1)\) when \(n\) is odd.
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 1792382
zbMATH Keywords: self-orthogonal Latin square
zbMATH Keywords: frame
zbMATH Keywords: Room frame
reviewed by: Steven T. Dougherty
MaRDI profile type: Publication
Wikidata QID: Q127473177
description: scientific article; zbMATH DE number 1792382