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


PartitionLattice
PartitionLattice[n]
returns a Hasse diagram of the partially ordered set on set partitions of through
in which
if
is finer than
, that is, each block in
is contained in some block in
.
Details and Options
- 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.
See Also
Tech Notes
Related Guides
-
▪
- Graph Algorithms ▪
- Graphs & Networks ▪
- Graph Visualization ▪
- Computation on Graphs ▪
- Graph Construction & Representation ▪
- Graphs and Matrices ▪
- Graph Properties & Measurements ▪
- Graph Operations and Modifications ▪
- Statistical Analysis ▪
- Social Network Analysis ▪
- Graph Properties ▪
- Mathematical Data Formats ▪
- Discrete Mathematics
Text
Wolfram Research (2012), PartitionLattice, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/PartitionLattice.html.
CMS
Wolfram Language. 2012. "PartitionLattice." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/PartitionLattice.html.
APA
Wolfram Language. (2012). PartitionLattice. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/PartitionLattice.html
BibTeX
@misc{reference.wolfram_2025_partitionlattice, author="Wolfram Research", title="{PartitionLattice}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/PartitionLattice.html}", note=[Accessed: 14-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_partitionlattice, organization={Wolfram Research}, title={PartitionLattice}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/PartitionLattice.html}, note=[Accessed: 14-August-2025]}