Article ID Journal Published Year Pages File Type
9515335 Journal of Combinatorial Theory, Series A 2005 6 Pages PDF
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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