Frames for Kirkman triple systems
type: Item
instance of: scholarly article
title: Frames for Kirkman triple systems
zbMATH Open document ID: 0651.05015
DOI: 10.1016/0012-365X(87)90060-4
published in: Discrete Mathematics
publication date: 1987-01-01T00:00:00Z
review text: We introduce the idea of a `frame' for a Kirkman triple system: loosely speaking, a frame is a Kirkman system with `holes'. We construct many frames for Kirkman triple systems. We then apply these frames to the construction of Kirkman triple systems with subsystems. We construct a system of order v containing a system of order w, for all admissible \(v\geq 4w-9\), with two exceptions.
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 4061253
zbMATH Keywords: frame
zbMATH Keywords: Kirkman triple system
author: D. R. Stinson
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4061253