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CyclicMaximalJump on Permutation ​

The largest |p(i+1) - p(i)|, with p(n+1) = p(1).

On Permutation

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

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Distribution

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FindStat St001245

The cyclic maximal difference between two consecutive entries of a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001245 has the rest.