Descent sets of cyclic permutations

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Descent sets of cyclic permutations

We present a bijection between cyclic permutations of {1, 2, . . . , n+1} and permutations of {1, 2, . . . , n} that preserves the descent set of the first n entries and the set of weak excedances. This non-trivial bijection involves a Foata-like transformation on the cyclic notation of the permutation, followed by certain conjugations. We also give an alternate derivation of the consequent res...

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ژورنال

عنوان ژورنال: Advances in Applied Mathematics

سال: 2011

ISSN: 0196-8858

DOI: 10.1016/j.aam.2011.02.006