Set systems with union and intersection constraints
نویسندگان
چکیده
Let 2 ≤ d ≤ k be fixed and n be sufficiently large. Suppose that G is a collection of k-element subsets of an n-element set, and |G| > ( n−1 k−1 ) . Then G contains d sets with union of size at most 2k and empty intersection. This verifies a conjecture of the first author for large n.
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عنوان ژورنال:
- J. Comb. Theory, Ser. B
دوره 99 شماره
صفحات -
تاریخ انتشار 2009