Title of article
Largest family without
Author/Authors
De Bonis، نويسنده , , Annalisa and Katona، نويسنده , , Gyula O.H. and Swanepoel، نويسنده , , Konrad J.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
6
From page
331
To page
336
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
families of subsets , Sperner , LYM
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2005
Journal title
Journal of Combinatorial Theory Series A
Record number
1531008
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