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Information on permutations with maximum cycle length k

It is well known that permutation of [n]={1,2,...,n} can be written uniquely (up to re-ordering) as a product of disjoint cycles. The objects generated here are all permutations of [n] that have no cycles of length longer than k. When k=2, these permutations are called Involutions.

The algorithm used is from the paper: U. Taylor and F. Ruskey, Fast Generation of Restricted Classes of Permutations, Manuscript 1995.


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