The metamorphosis of lambda-fold block designs with block size four into lambda-fold triple systems
type: Item
instance of: scholarly article
title: The metamorphosis of lambda-fold block designs with block size four into lambda-fold triple systems
zbMATH Open document ID: 0997.05013
DOI: 10.1016/S0378-3758(02)00203-3
published in: Journal of Statistical Planning and Inference
publication date: 2002-09-18T00:00:00Z
review text: A \(\lambda\)-fold triple system is called a metamorphosis of a \(\lambda\)-fold block design with block size \(4\) if it can be obtained by removing an element from each block and arranging the removed elements into triangles. The authors give a complete solution of the problem for which \(n\) and \(\lambda\) there exists a \(\lambda\)-fold block design of order \(n\) with block size \(4\) which has a metamorphosis into a \(\lambda\)-fold block triple system. It turns out that necessary simple divisibility conditions are sufficient as well.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B07
zbMATH DE Number: 1802340
zbMATH Keywords: triple systems
zbMATH Keywords: \(\lambda\)-fold designs
author: C. C. Lindner
author: Alexander Rosa
reviewed by: Peter Boyvalenkov
MaRDI profile type: Publication
cites work: Q4873725
cites work: Q4256358
cites work: Blocking sets in designs with block size 4
cites work: Q4374727
cites work: Q4372505
cites work: Nesting of cycle systems of odd length
cites work: Q3781764
description: scientific article; zbMATH DE number 1802340