The Cycle Descent Statistic on Permutations

Jun Ma, Shi-Mei Ma, Yeong-Nan Yeh, Xu Zhu


In this paper we study the cycle descent statistic on permutations. Several involutions on permutations and derangements are constructed. Moreover, we construct a bijection between negative cycle descent permutations and Callan perfect matchings.


Permutations; Cycle descents; Perfect matchings; Involutions; Eulerian polynomials

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