Properties of the Steiner triple systems of order 19
type: Item
instance of: scholarly article
title: Properties of the Steiner triple systems of order 19
zbMATH Open document ID: 1193.05039
author: Charles J. Colbourn
author: Anthony D. Forbes
author: T. S. Griggs
author: Petteri Kaski
author: Patric R. J. Östergård
author: David A. Pike
author: Olli Pottonen
author: Michael John Grannell
published in: The Electronic Journal of Combinatorics
publication date: 2010-08-12T00:00:00Z
full work available at URL: https://eudml.org/doc/225308
full work available at URL: v17i1r98.html
review text: Summary: Properties of the 11 084 874 829 Steiner triple systems of order 19 are examined. In particular, there is exactly one 5-sparse, but no 6-sparse, STS(19); there is exactly one uniform STS(19); there are exactly two STS(19) with no almost parallel classes; all STS(19) have chromatic number 3; all have chromatic index 10, except for 4 075 designs with chromatic index 11 and two with chromatic index 12; all are 3-resolvable; and there are exactly two 3-existentially closed STS(19).
Mathematics Subject Classification ID: 05B07
zbMATH DE Number: 5769513
zbMATH Keywords: automorphism
zbMATH Keywords: chromatic index
zbMATH Keywords: chromatic number
zbMATH Keywords: configuration
zbMATH Keywords: cycle structure
zbMATH Keywords: existential closure
zbMATH Keywords: independent set
zbMATH Keywords: partial parallel class
zbMATH Keywords: rank
zbMATH Keywords: Steiner triple system of order 19
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5769513