Skip to content

CyclicAlignments on Permutation ​

Pairs (i, j) with i, j, p(j), p(i) in cyclic order.

On Permutation

Called as CombinatorialStat(x, "CyclicAlignments"). 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 St001535

The number of cyclic alignments of a permutation.

ObjectValue
[1]0
[1,2]0
[2,1]0
[1,2,3]0
[1,3,2]0
[2,1,3]0
[2,3,1]0
[3,1,2]0

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001535 has the rest.