On the 3BD-closed set \(B_3(\{4,5\})\) (Q1886341)
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scientific article; zbMATH DE number 2116254
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the 3BD-closed set \(B_3(\{4,5\})\) |
scientific article; zbMATH DE number 2116254 |
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On the 3BD-closed set \(B_3(\{4,5\})\) (English)
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18 November 2004
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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.
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\(t\)-wise balanced design
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\(s\)-fan design
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closed set
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Hanani
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0.89258665
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0.82287484
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