Intersecting Balanced Families of Sets
β
Adam Idzik; Gyula O.H. Katona; Rajiv Vohra
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Article
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2001
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Elsevier Science
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English
β 117 KB
Suppose that any t members (t 2) of a regular family on an n element set have at least k common elements. It is proved that the largest member of the family has at least k 1Γt n 1&1Γt elements. The same holds for balanced families, which is a generalization of the regularity. The estimate is asympto