The Cycle Descent Statistic on Permutations

  • Jun Ma
  • Shi-Mei Ma
  • Yeong-Nan Yeh
  • Xu Zhu
DOI: https://doi.org/10.37236/5673
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
How to Cite
Ma, J., Ma, S.-M., Yeh, Y.-N., & Zhu, X. (2016). The Cycle Descent Statistic on Permutations. The Electronic Journal of Combinatorics, 23(4), P4.20. https://doi.org/10.37236/5673
Issue
Volume 23, Issue 4 (2016)
Article Number
P4.20