On the size of set systems on \([n]\) not containing weak \((r,\Delta)\)-systems (Q1369741)
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scientific article; zbMATH DE number 1076999
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the size of set systems on \([n]\) not containing weak \((r,\Delta)\)-systems |
scientific article; zbMATH DE number 1076999 |
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On the size of set systems on \([n]\) not containing weak \((r,\Delta)\)-systems (English)
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1 February 1998
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The paper proves an improved lower bound to the maximum size of set systems without \(r\)-element weak \(\Delta\)-systems on the \(n\)-element underlying set, namely this maximum size is \(\geq 2^{(1/3)n^{1/5}\log^{4/5}(r-1)}\). The proof is constructive.
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weak \(\Delta\)-system
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construction
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Erdös-Rado's theorem
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