The complete intersection theorem for systems of finite sets (Q674615)
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scientific article; zbMATH DE number 986975
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The complete intersection theorem for systems of finite sets |
scientific article; zbMATH DE number 986975 |
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The complete intersection theorem for systems of finite sets (English)
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5 March 1997
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The ultimate extension of the Erdös-Ko-Rado theorem is proved. Concluding the work of Frankl, Wilson, and others the largest size of a \(t\)-intersecting \(k\)-family is determined as well as the extreme systems. Specifically, the \(4m\)-conjecture is proved.
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intersection theorem
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systems of finite sets
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Erdös-Ko-Rado theorem
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extreme systems
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