The Cycle Descent Statistic on Permutations

  • Jun Ma
  • Shi-Mei Ma
  • Yeong-Nan Yeh
  • Xu Zhu
Keywords: Permutations, Cycle descents, Perfect matchings, Involutions, Eulerian polynomials

Abstract

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.
Published
2016-11-10
Article Number
P4.20