Class-uniformly resolvable group divisible structures. I: Resolvable group divisible designs
type: Item
instance of: scholarly article
title: Class-uniformly resolvable group divisible structures. I: Resolvable group divisible designs
zbMATH Open document ID: 1053.05013
author: Peter Danziger
author: Brett Stevens
published in: The Electronic Journal of Combinatorics
publication date: 2004-10-13T00:00:00Z
full work available at URL: https://eudml.org/doc/124010
full work available at URL: v11i1r23.html
review text: Summary: We consider class-uniformly resolvable group divisible designs, which are resolvable group divisible designs in which each of the resolution classes has the same number of blocks of each size. We derive the fully general necessary conditions including a number of extremal bounds. We present some general constructions including a novel construction for shrinking the index of a master design. We construct a number of infinite families, primarily with block sizes \(2\) and \(k\), including some extremal cases.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B40
zbMATH DE Number: 2107465
zbMATH Keywords: resolvable group divisible designs
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2107465