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math.CO2014
Comparable pairs in families of sets
Noga Alon, Shagnik Das, Roman Glebov +1
Given a family of subsets of , we say two sets are comparable if or . Sperner's celebrated theorem gives the si…
math.CO2014★ 5 cited
Intersecting families of discrete structures are typically trivial
József Balogh, Shagnik Das, Michelle Delcourt +2
The study of intersecting structures is central to extremal combinatorics. A family of permutations is \emph{-intersecting} if any two permutations in…