LinearExtensionCount on OrderedTree
The number of linear extensions of the tree as a poset: n! over the tree factorial.
Called as CombinatorialStat(x, "LinearExtensionCount"). The head's page has its examples.
Live
Distribution
Over OrderedTrees at each size, tallied here in your browser; sizes past 6 are not offered.
Also on
The same name on other carriers, each its own implementation: BinaryTree.
FindStat St000085
The number of linear extensions of the tree.
| Object | Value |
|---|---|
[[]] | 1 |
[[[]]] | 1 |
[[],[]] | 2 |
[[[[]]]] | 1 |
[[[],[]]] | 2 |
[[[]],[]] | 3 |
[[],[[]]] | 3 |
[[[[[]]]]] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000085 has the rest.