Title
A Sperner-type theorem and qualitative independence
Abstract
We determine the asymptotics of the largest family { C i } i =1 M of subsets of an n -set with the property that for some bipartitions C i = A i ∪ B i of the C i 's none of the inclusions A i ⊂ C j , B i ⊂ C j occurs. Our construction implies a new lower bound on the size of qualitatively independent partition systems in the Rényi sense.
Year
DOI
Venue
1992
10.1016/0097-3165(92)90100-9
J. Comb. Theory, Ser. A
Keywords
Field
DocType
qualitative independence,sperner-type theorem
Information theory,Discrete mathematics,Set theory,Combinatorics,Upper and lower bounds,Partition (number theory),Asymptotic analysis,Mathematics
Journal
Volume
Issue
ISSN
59
1
Journal of Combinatorial Theory, Series A
Citations 
PageRank 
References 
24
4.79
1
Authors
2
Name
Order
Citations
PageRank
János Körner1244.79
Gábor Simonyi224929.78