InversionPoset[n]
returns a Hasse diagram of the partially ordered set on size-n permutations in which 
if 
can be obtained from 
by an adjacent transposition that places the larger element before the smaller.
InversionPoset
InversionPoset[n]
returns a Hasse diagram of the partially ordered set on size-n permutations in which 
if 
can be obtained from 
by an adjacent transposition that places the larger element before the smaller.
Details and Options
- To use InversionPoset, 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.
Text
Wolfram Research (2012), InversionPoset, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/InversionPoset.html.
CMS
Wolfram Language. 2012. "InversionPoset." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/InversionPoset.html.
APA
Wolfram Language. (2012). InversionPoset. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/InversionPoset.html