Bicoloring Steiner triple systems
type: Item
instance of: scholarly article
title: Bicoloring Steiner triple systems
zbMATH Open document ID: 0924.05007
author: Charles J. Colbourn
author: Alexander Rosa
author: J. H. Dinitz
published in: The Electronic Journal of Combinatorics
publication date: 1999-06-20T00:00:00Z
full work available at URL: https://eudml.org/doc/119979
review text: A Steiner triple system has a bicoloring with \(m\) color classes if the points are partitioned into \(m\) subsets and the three points in every block are contained in exactly two of the color classes. In this paper, the authors present necessary conditions for the existence of a bicoloring with three color classes and give a multiplication theorem for Steiner triple systems with three color classes. The authors also consider bicolorings with more than three color classes.
Mathematics Subject Classification ID: 05B07
zbMATH DE Number: 1305715
zbMATH Keywords: Steiner triple system
zbMATH Keywords: \(m\)-bicoloring
reviewed by: Michael Raines
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1305715