All admissible \(3\)-\((v,4,\lambda)\) directed designs exist
type: Item
instance of: scholarly article
zbMATH Open document ID: 0972.05009
publication date: 2001-07-08T00:00:00Z
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 1588088
zbMATH Keywords: directed design
author: Michael John Grannell
author: T. S. Griggs
author: Kathleen A. S. Quinn
MaRDI profile type: Publication
title: All admissible \(3\)-\((v,4,\lambda)\) directed designs exist
published in: JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
review text: The authors show that a simple \(3\)-\((v,4,2)\) directed design exists for all values of \(v\). This shows that the necessary condition \(\lambda v\equiv 0\pmod 2\) for the existence of a \(3\)-\((v,4,\lambda)\) directed design is also sufficient.
reviewed by: R. G. Stanton
description: scientific article