Enumeration of permutations by number of cyclic peaks and cyclic valleys

Details Enumeration of permutations by number of cyclic peaks and cyclic valleys Enumeration of permutations by number of cyclic peaks and cyclic valleys

2012-03-28

arxiv.org/abs/1203.6264v1

Mathematics

Combinatorics

10 pages

Scientific paper

We consider the enumeration of permutations in standard cycle decomposition.
Several recurrence relations involving the number of permutations with a
prescribed number of cyclic peaks, cyclic valleys, fixed points and cycles are
established.

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