The Erdős-Ko-Rado theorem for small families (Q1320390)
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scientific article; zbMATH DE number 554399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Erdős-Ko-Rado theorem for small families |
scientific article; zbMATH DE number 554399 |
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The Erdős-Ko-Rado theorem for small families (English)
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12 July 1994
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It is shown that if \(A\) is a family of \(k\)-element subsets of an \(n\)- element set and \(k \sim cn\), \(| A |=m \sim dn\) then \(A\) contains a \(t\)-intersecting subfamily of size at least \(cm (1-o(1))\) as \(n\) tends to infinity and \(t\) remains fixed. The proof uses Szemerédi's regularity lemma.
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Erdős-Ko-Rado theorem
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small families
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regularity lemma
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