On the covering of pairs by quadruples
type: Item
instance of: scholarly article
title: On the covering of pairs by quadruples
zbMATH Open document ID: 0599.05015
DOI: 10.1016/0012-365X(86)90084-1
published in: Discrete Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The author shows that the Schoenheim bound is always precise for covering designs with block size 4 and all \(\lambda >1\). The work is a natural extension of Mills' work on the case \(\lambda =1\), and Hanani's work on block size 3. The proof relies heavily on the techniques and results of Hanani and Mills, but also includes some new construction techniques based on perturbing the block sets of existing designs.
Mathematics Subject Classification ID: 05B40
zbMATH DE Number: 3966092
zbMATH Keywords: Schoenheim bound
zbMATH Keywords: covering designs
author: Ahmed M. Assaf
MaRDI profile type: Publication
cites work: Group divisible designs with block-size four
cites work: Balanced incomplete block designs and related designs
cites work: On resolvable designs
cites work: On small packing and covering designs with block size 4
cites work: On the covering of pairs by quadruples. II
cites work: On coverings
full work available at URL: 0012-365x(86)90084-1
OpenAlex ID: W2024225039
description: scientific article; zbMATH DE number 3966092