TrunkLength on OrderedTree
The edges from the root to the first vertex that does not have exactly one child.
Called as CombinatorialStat(x, "TrunkLength"). 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.
FindStat St000974
The length of the trunk of an ordered tree.
| Object | Value |
|---|---|
[[]] | 1 |
[[[]]] | 2 |
[[],[]] | 0 |
[[[[]]]] | 3 |
[[[],[]]] | 1 |
[[[]],[]] | 0 |
[[],[[]]] | 0 |
[[[[[]]]]] | 4 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000974 has the rest.