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math.CO2011
Probably Intersecting Families are Not Nested
Paul A. Russell, Mark Walters
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 g…
math.CO2011★ 2 cited
Compressions and Probably Intersecting Families
Paul A. Russell
A family X of sets is said to be intersecting if any two members of X have non-empty intersection. It is a well-known and simple fact that an intersecting family of subsets of [n]=…