Gyula O. H. Katona
Published 2016-02-08Version 1
The celebrated theorem of Ahlswede and Khachatrian determines the maximum size of a family of $k$-element subsets of an $n$-element set where the intersection of any two subsets has at least $r$ elements. This survey first gives a historical introduction, then it shows some applications.
A tight stability version of the Complete Intersection Theorem
On the union of intersecting families
Subsets of posets minimising the number of chains
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