A lower bound for \(g^{(4)}(18)\) (Q2716679)
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scientific article; zbMATH DE number 1599315
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A lower bound for \(g^{(4)}(18)\) |
scientific article; zbMATH DE number 1599315 |
Statements
21 October 2001
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pairwise balanced design
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A lower bound for \(g^{(4)}(18)\) (English)
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The author denotes by \(g^{(4)}(v)\) the minimum number of blocks in a pairwise balanced design on \(v\) elements in which the longest block has size 4. The only values of \(v\) for which \(g^{(4)}(v)\) is unknown are \(v = 17, 18\). In this paper the author improves the lower bound to obtain \(30 \leq g^{(4)}(v) \leq 33\).
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