On the 3BD-closed set \(B_3(\{4,5\})\)
type: Item
instance of: scholarly article
title: On the 3BD-closed set \(B_3(\{4,5\})\)
zbMATH Open document ID: 1051.05021
published in: Discrete Mathematics
publication date: 2004-11-18T00:00:00Z
review text: For each \(v\not= 13\) fulfilling the existence condition \(v\equiv 1,2,4,5,8,10\pmod{12}\) there exists a \(3\)-design of \(v\) points with block sizes belonging to \(\{4,5\}\). Proofs are obtained by recursive constructions using many little tables of suitable incidence structures and by previous results obtained e.g. by Hanani and by the author.
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 2116254
zbMATH Keywords: \(t\)-wise balanced design
zbMATH Keywords: \(s\)-fan design
zbMATH Keywords: closed set
zbMATH Keywords: Hanani
author: Lijun Ji
reviewed by: Giovanni Ferrero
MaRDI profile type: Publication
full work available at URL: j.disc.2004.06.009
OpenAlex ID: W2045771243
cites work: Q4876934
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DOI: 10.1016/J.DISC.2004.06.009
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description: scientific article; zbMATH DE number 2116254