Existence of Steiner seven-cycle systems
type: Item
instance of: scholarly article
title: Existence of Steiner seven-cycle systems
zbMATH Open document ID: 1009.05019
DOI: 10.1016/S0012-365X(00)00357-5
author: R. Smith
published in: Discrete Mathematics
publication date: 2002-08-29T00:00:00Z
review text: The authors consider the question of the spectrum of Steiner 7-cycle systems on a \(v\)-set. The necessary existence condition is that \(v\equiv 1\) or \(v\equiv 7\), modulo \(14\). It is shown that this condition is sufficient except for \(21\) possible exception the largest of which is \(861\).
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B15
Mathematics Subject Classification ID: 94A62
zbMATH DE Number: 1792412
zbMATH Keywords: seven-cycle systems
reviewed by: R. G. Stanton
MaRDI profile type: Publication
full work available at URL: s0012-365x(00)00357-5
OpenAlex ID: W1965195084
description: scientific article; zbMATH DE number 1792412