PartitionLattice

As of Version 10, most of the functionality of the Combinatorica package is built into the Wolfram System. >>

PartitionLattice[n]
returns a Hasse diagram of the partially ordered set on set partitions of through n in which if is finer than , that is, each block in is contained in some block in .

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  • To use PartitionLattice, you first need to load the Combinatorica Package using Needs["Combinatorica`"].
  • The function takes two options: Type and VertexLabel, with default values Undirected and False, respectively.
  • When Type is set to Directed, the function produces the underlying directed acyclic graph.
  • When VertexLabel is set to True, labels are produced for the vertices.