Mathematics – Combinatorics
Scientific paper
2011-08-29
Mathematics
Combinatorics
19 pages
Scientific paper
It is well known that an intersecting family of subsets of an n-element set can contain at most 2^(n-1) sets. It is natural to wonder how `close' to intersecting a family of size greater than 2^(n-1) can be. Katona, Katona and Katona introduced the idea of a `most probably intersecting family.' Suppose that X is a family and that 0
Russell Paul A.
Walters Mark
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