PermutationBreadth on Permutation

The least Manhattan distance |i - j| + |p(i) - p(j)| between two points of the permutation matrix.

On Permutation

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

Live

Distribution

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Sizes 1 to

FindStat St000842

The breadth of a permutation.

Object	Value
[1,2]	2
[2,1]	2
[1,2,3]	2
[1,3,2]	2
[2,1,3]	2
[2,3,1]	2
[3,1,2]	2
[3,2,1]	2

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000842 has the rest.