Convexity on Permutation
The largest 2 p(i) - p(i-1) - p(i+1) over the interior positions, or 0.
Called as CombinatorialStat(x, "Convexity"). The head's page has its examples.
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FindStat St000226
The convexity of a permutation.
| Object | Value |
|---|---|
[1,2] | 0 |
[2,1] | 0 |
[1,2,3] | 0 |
[1,3,2] | 3 |
[2,1,3] | 0 |
[2,3,1] | 3 |
[3,1,2] | 0 |
[3,2,1] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000226 has the rest.