CyclicallyAdjacentTranspositions on Permutation
Two-cycles (i, i+1), and the two-cycle (1, n).
For n = 2 the one two-cycle is counted once.
Called as CombinatorialStat(x, "CyclicallyAdjacentTranspositions"). The head's page has its examples.
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FindStat St001466
The number of transpositions swapping cyclically adjacent numbers in a permutation.
| Object | Value |
|---|---|
[1] | 0 |
[1,2] | 0 |
[2,1] | 1 |
[1,2,3] | 0 |
[1,3,2] | 1 |
[2,1,3] | 1 |
[2,3,1] | 0 |
[3,1,2] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001466 has the rest.