Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9515335 | Journal of Combinatorial Theory, Series A | 2005 | 6 Pages |
Abstract
Let F be a family of subsets of an n-element set not containing four distinct members such that AâªBâCâ©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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Annalisa De Bonis, Gyula O.H. Katona, Konrad J. Swanepoel,