Intersecting Balanced Families of Sets
نویسندگان
چکیده
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 k1/tn1−1/t elements. The same holds for balanced families, which is a generalization of the regularity. The estimate is asymptotically sharp.
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عنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 93 شماره
صفحات -
تاریخ انتشار 2001