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JCT
2002
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13 years 11 months ago
The Width of Random Subsets of Boolean Lattices
Suppose we toss an independent coin with probability of success p for each subset of [n] = {1, . . . , n}, and form the random hypergraph P(n, p) by taking as hyperedges the subse...
Yoshiharu Kohayakawa, Bernd Kreuter
DM
2002
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13 years 11 months ago
On the average size of sets in intersecting Sperner families
We show that the average size of subsets of [n] forming an intersecting Sperner family of cardinality not less than (n-1 k-1 ) is at least k provided that k 6 n=2
Christian Bey, Konrad Engel, Gyula O. H. Katona, U...