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math.CO2016★ 1 cited
Intervals of Antichains and Their Decompositions
Patrick De Causmaecker, Stefan De Wannemacker, Jay Yellen
An antichain of subsets is a set of subsets such that no subset in the antichain is a proper subset of any other subset in the antichain. The Dedekind number counts the total numbe…
math.CO2014
On the number of antichains of sets in a finite universe
Patrick De Causmaecker, Stefan De Wannemacker
Properties of intervals in the lattice of antichains of subsets of a universe of finite size are investigated. New objects and quantities in this lattice are defined. Expressions a…