A tripling construction for overlarge sets of KTS
type: Item
instance of: scholarly article
title: A tripling construction for overlarge sets of KTS
zbMATH Open document ID: 1162.05009
published in: Discrete Mathematics
publication date: 2009-04-09T00:00:00Z
review text: An overlarge set of Steiner triple systems of order \(v\) is a partition of all triples on \(v+1\) points into Steiner triple systems. When each of the Steiner triple systems in the partition is resolvable, one obtains an overlarge set of Kirkman triple systems (OLKTS). This paper shows that, under certain conditions, an OLKTS of order \(v\) can be used to produce an OLKTS of order \(3v\). As a consequence an infinite class of OLKTS is produced.
reviewed by: Charles J. Colbourn
Mathematics Subject Classification ID: 05B07
zbMATH DE Number: 5542395
zbMATH Keywords: Kirkman triple system
zbMATH Keywords: generalized frame
zbMATH Keywords: overlarge set
zbMATH Keywords: OLKTS
author: Lan-dang Yuan
author: Qingde Kang
MaRDI profile type: Publication
full work available at URL: j.disc.2008.01.001
OpenAlex ID: W2063798499
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DOI: 10.1016/J.DISC.2008.01.001
description: scientific article; zbMATH DE number 5542395