Embeddings of resolvable triple systems
type: Item
instance of: scholarly article
title: Embeddings of resolvable triple systems
zbMATH Open document ID: 0951.05011
author: Hao Shen
author: Yizhu Wang
published in: Journal of Combinatorial Theory. Series A
publication date: 2000-03-22T00:00:00Z
review text: A resolvable triple system of order \(v\) can appear as a subsystem of a resolvable triple system of order \(u\) when \(u=v\) or \(u\geq 3v\), and \(u\) and \(v\) are both multiples of \(3\). When the index is odd, \(u\) and \(v\) must also be odd; and when the index is singly even, \(v\) cannot be \(6\) as no resolvable triple system of order \(6\) exists with singly even index. In this paper it is shown that, with these restrictions, there exists a resolvable triple system of order \(v\) having as a subsystem a resolvable triple system of order \(u\) for each index.
reviewed by: Charles J. Colbourn
Mathematics Subject Classification ID: 05B07
zbMATH DE Number: 1421327
zbMATH Keywords: Kirkman triple system
zbMATH Keywords: resolvable triple system
MaRDI profile type: Publication
full work available at URL: jcta.1999.2997
OpenAlex ID: W2024750812
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DOI: 10.1006/JCTA.1999.2997
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description: scientific article; zbMATH DE number 1421327