An inequality for strongly resolvable designs
type: Item
instance of: scholarly article
title: An inequality for strongly resolvable designs
zbMATH Open document ID: 0596.05008
DOI: 10.1007/BF01230331
author: Rahul Mukerjee
author: Sanpei Kageyama
published in: Journal of Geometry
publication date: 1986-01-01T00:00:00Z
review text: Consider a (\(\nu\),k,\(\lambda)\)-design with a strong resolution having parameters \(\mu_ i\) (the inner constant, i.e. the intersection number of blocks in the same class of the resolution) and \(\rho\) (the number of blocks of a given class through a given point). The authors prove the inequality \(\lambda \geq \mu_ i+\rho\) provided that the given design is not symmetric; this result was conjectured by \textit{A. Beutelspacher} and \textit{U. Porta} [J. Geom. 19, 115-129 (1982; Zbl 0508.05015)]. The authors also give several equivalent inequalities, e.g. \(r\geq k+\rho\), and exhibit examples where one has equality.
reviewed by: Dieter Jungnickel
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 3959437
zbMATH Keywords: strongly resolvable design
zbMATH Keywords: strong resolution
MaRDI profile type: Publication
cites work: On the parameters of strongly resolvable designs
cites work: On \(\mu\)-resolvable and affine \(\mu\)-resolvable balanced incomplete block designs
cites work: Q5331658
full work available at URL: https://doi.org/10.1007/bf01230331
OpenAlex ID: W2035520669
description: scientific article; zbMATH DE number 3959437