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CyclicBonds on Permutation ​

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

On Permutation

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

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Distribution

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FindStat St001516

The number of cyclic bonds of a permutation.

ObjectValue
[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/St001516 has the rest.