Height on DyckPath

The greatest height the path reaches.

On DyckPath

Called as CombinatorialStat(x, "Height"). The head's page has its examples.

Live

Distribution

Over DyckPaths at each size, tallied here in your browser; sizes past 10 are not offered.

Sizes 1 to

Also on

The same name on other carriers, each its own implementation: BinaryTree, OrderedTree.

FindStat St000013

The height of a Dyck path.

Object	Value
[]	0
[1,0]	1
[1,0,1,0]	1
[1,1,0,0]	2
[1,0,1,0,1,0]	1
[1,0,1,1,0,0]	2
[1,1,0,0,1,0]	2
[1,1,0,1,0,0]	2

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000013 has the rest.