A generalization of Connor's inequality to t-designs with automorphisms
type: Item
instance of: scholarly article
title: A generalization of Connor's inequality to t-designs with automorphisms
zbMATH Open document ID: 0723.05018
DOI: 10.1016/0097-3165(89)90018-6
author: Donald L. Kreher
published in: Journal of Combinatorial Theory. Series A
publication date: 1989-01-01T00:00:00Z
review text: \textit{W. S. Connor} [Ann. Math. Statist. 23, 57-71 (1952; Zbl 0046.361)], developed a system of inequalities concerning the pairwise intersections \(\mu_{ij}=| K_ i\cap K_ j|\) of m blocks, \(K_ 1,K_ 2...K_ m\) of an S(\(\lambda\) ;t,k,v) design. \textit{R. M. Wilson} [Linear Algebra Appl. 46, 73-82 (1982; Zbl 0492.05013)] established a fundamental theorem. In this paper, firstly it is shown that Connor's inequalities are a consequence of this theorem. Secondly, the incidence algebra for t- designs with automorphisms and the above fundamental theorem are exploited and generalising this theorem interestingly the generalised Connor's inequalities are obtained.
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 4191648
zbMATH Keywords: Connor's inequalities
reviewed by: Ratnakaram Nava Mohan
MaRDI profile type: Publication
full work available at URL: 0097-3165(89)90018-6
OpenAlex ID: W2005074533
cites work: On the Structure of Balanced Incomplete Block Designs
cites work: Q5592263
cites work: t-designs on hypergraphs
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description: scientific article; zbMATH DE number 4191648