On large systems of sets with no large weak \(\Delta\)-subsystems (Q1288909)
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scientific article; zbMATH DE number 1288340
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On large systems of sets with no large weak \(\Delta\)-subsystems |
scientific article; zbMATH DE number 1288340 |
Statements
On large systems of sets with no large weak \(\Delta\)-subsystems (English)
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18 May 1999
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A family of sets is a weak \(\Delta\)-system if the cardinality of the intersection of any two sets is the same. \(F(n,r)\) is the largest integer so that there exists a family of subsets of the \(n\)-element set without containing a \(\Delta\)-system of \(r\) sets. The authors improve the lower bound for \(F(n,3)\).
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weak \(\Delta\)-system
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0.94777524
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0.9372984
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0.92681456
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0.86378735
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0.8453552
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