The spectrum for large sets of pure Mendelsohn triple systems
type: Item
instance of: scholarly article
title: The spectrum for large sets of pure Mendelsohn triple systems
zbMATH Open document ID: 1152.05018
author: Junling Zhou
author: Lijun Ji
author: Yanxun Chang
published in: Discrete Mathematics
publication date: 2008-11-12T00:00:00Z
review text: A new concept of \(t\)-partitionable Mendelsohn candelabra systems is introduced, and a number of constructions are provided. Using these it is shown that a large set of pure Mendelsohn triple systems of order \(v\) exists if and only if \(v \equiv 0,1 \pmod 3\), \(v \geq 4\), and \(v \not\in \{6,7\}\).
reviewed by: Charles J. Colbourn
Mathematics Subject Classification ID: 05B07
zbMATH DE Number: 5365249
zbMATH Keywords: large set
zbMATH Keywords: Mendelsohn triple system
zbMATH Keywords: pure design
MaRDI profile type: Publication
full work available at URL: j.disc.2007.04.033
OpenAlex ID: W2027609307
cites work: Large sets of disjoint pure Mendelsohn triple systems
cites work: Q3050440
cites work: On Quadruple Systems
cites work: Purely tetrahedral quadruple systems
cites work: Existence of Steiner quadruple systems with a spanning block design
cites work: Q4500697
cites work: Q4065553
cites work: Q5284089
cites work: Candelabra systems and designs
cites work: A theorem on the maximum number of disjoint Steiner triple systems
cites work: The spectrum for large sets of pure directed triple systems
DOI: 10.1016/J.DISC.2007.04.033
description: scientific article; zbMATH DE number 5365249