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The maximum size of 3-wise \(t\)-intersecting families - MaRDI portal

The maximum size of 3-wise \(t\)-intersecting families (Q854817)

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scientific article; zbMATH DE number 5077696
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The maximum size of 3-wise \(t\)-intersecting families
scientific article; zbMATH DE number 5077696

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    The maximum size of 3-wise \(t\)-intersecting families (English)
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    7 December 2006
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    This paper proves a new analogous result of the Erdős-Ko-Rado theorem for 3-wise \(t\)-intersecting families where \(t\) is at least 26. The proof is similar to those originated by Frankl dealing with the original 2-wise \(t\)-intersecting problem, using the shifting operations and a random walk technique.
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    Erdős-Ko-Rado theorem
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    shifting technique
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    random walk
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