On the Number of Realizations of a Hasse Diagram by Finite Sets

  • ABRAHAM P. HILLMAN
  • Published 2010

Abstract

R. Dedekind proposed the problem, still unsolved for n>6, of finding the order f(n) of the free distributive lattice with n generators.1 It is known that/(w) is the number of families F of subsets of a set of n objects such that no subset in F includes any other.2 A closely related problem is that of finding the number of families of subsets having… (More)

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