Existence of resolvable group divisible designs with block size four. I
type: Item
instance of: scholarly article
title: Existence of resolvable group divisible designs with block size four. I
zbMATH Open document ID: 0995.05014
DOI: 10.1016/S0012-365X(01)00299-0
author: Hao Shen
author: Jiaying Shen
published in: Discrete Mathematics
publication date: 2002-08-29T00:00:00Z
review text: The authors prove, for \(m\) incongruent 0 modulo 12, that there exists a resolvable group divisible design of order \(v\), block size 4 and group size \(m\), if and only if \(v\equiv 0 \pmod 4\), \(v \equiv 0 \pmod m\), \(v - m\equiv 0 \pmod 3\), except when \((v, m)\) is equal to \((3, 12)\) and except possibly when \((v, m)\) is (3, 264), (3, 372), (8, 80), (8, 104), (9, 396), (40, 400) or (40, 520).
reviewed by: Mirela Ştefănescu
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 1792478
zbMATH Keywords: resolvable group divisible design
zbMATH Keywords: labeled resolvable design
zbMATH Keywords: Kirkman frame
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1792478