New results for quasi-symmetric designs\(-\) an application of MACSYMA
type: Item
instance of: scholarly article
title: New results for quasi-symmetric designs\(-\) an application of MACSYMA
zbMATH Open document ID: 0648.05009
DOI: 10.1016/0097-3165(86)90067-1
author: Sharad Sane
author: M. S. Shrikhande
author: Aaron D. Meyerowitz
published in: Journal of Combinatorial Theory. Series A
publication date: 1986-01-01T00:00:00Z
review text: Quasi-symmetric designs with block intersection numbers x and y are investigated. Let \(\Gamma\) be the usual block graph of such a design. Let \(\bar c\) be the number of triangles on any edge of \({\bar \Gamma}\), the complement of \(\Gamma\). It is shown that for fixed values of x, \(y\geq 2\) and \(\bar c\geq 0\) there are only finitely many such designs. This extends earlier results about quasi-symmetric designs with special properties. We show connections with strongly resolvable designs and also with designs considered by Holliday. The symbolic calculations were carried out using MACSYMA.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05C99
zbMATH DE Number: 4057521
zbMATH Keywords: Quasi-symmetric designs
zbMATH Keywords: block graph
zbMATH Keywords: strongly resolvable designs
zbMATH Keywords: MACSYMA
describes a project that uses: MACSYMA
MaRDI profile type: Publication
full work available at URL: 0097-3165(86)90067-1
OpenAlex ID: W1987140805
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description: scientific article; zbMATH DE number 4057521