Skip to content

LargestSearchTreeLeafLabel on Permutation ​

The largest label of a leaf of the binary search tree of p, inserting p(1), ..., p(n) in order.

On Permutation

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

Live

Distribution

Over SymmetricGroup at each size, tallied here in your browser; sizes past 8 are not offered.

FindStat St000727

The largest label of a leaf in the binary search tree associated with the permutation.

ObjectValue
[1,2]2
[2,1]1
[1,2,3]3
[1,3,2]2
[2,1,3]3
[2,3,1]3
[3,1,2]2
[3,2,1]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000727 has the rest.