Balanced generalized handcuffed designs
type: Item
instance of: scholarly article
title: Balanced generalized handcuffed designs
zbMATH Open document ID: 0776.05029
DOI: 10.1016/0012-365X(92)90709-O
author: Francis Maurin
published in: Discrete Mathematics
publication date: 1993-05-16T00:00:00Z
review text: A balanced handcuffed design consists of a \(v\)-set \(V\) and a set of \(b\) ordered \(k\)-subsets \((a_{i,1},\dots,a_{i,k})\) of \(V\), for \(i=1\) to \(b\), such that for \(s=1,2,\dots,t\) the sets \(\{a_{i,j},a_{i,j+1},\dots,a_{i,j+s-1}\}\) where \(1\leq j\leq k-s+1\) cover the \(s\)-subsets of \(V\) a constant \(\lambda_ s\) times. This concept specializes the generalized handcuffed designs of the author and generalizes the handcuffed designs of Hung and Mendelsohn. The author describes a method of differences for the construction of such designs. In particular he gives a complete solution for \(k=3\), \(t=3\) and \(\lambda_ 3=1\), together with several other examples.
Mathematics Subject Classification ID: 05B30
zbMATH DE Number: 166362
zbMATH Keywords: balanced handcuffed design
MaRDI profile type: Publication
cites work: Handcuffed designs
cites work: Generalized handcuffed designs
cites work: On the construction of handcuffed designs
full work available at URL: 0012-365x(92)90709-o
OpenAlex ID: W1964019508
description: scientific article; zbMATH DE number 166362