Ju l 2 00 4 Largest family without A ∪ B ⊆
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چکیده
Let F be a family of subsets of an n-element set not containing four distinct members such that A∪B ⊆ C∩D. It is proved that the maximum size of F under this condition is equal to the sum of the two largest binomial coefficients of order n. The maximum families are also characterized. A LYM-type inequality for such families is given, too.
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تاریخ انتشار 2005