MaximalSuccessiveDifference on Permutation
The largest p(i+1) - p(i), negative for a decreasing permutation.
MaximalRiseSize is the same with a floor of 0.
Called as CombinatorialStat(x, "MaximalSuccessiveDifference"). The head's page has its examples.
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FindStat St000652
The maximal difference between successive positions of a permutation.
| Object | Value |
|---|---|
[1,2] | 1 |
[2,1] | -1 |
[1,2,3] | 1 |
[1,3,2] | 2 |
[2,1,3] | 2 |
[2,3,1] | 1 |
[3,1,2] | 1 |
[3,2,1] | -1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000652 has the rest.