Geodesic
The cycle descent statistic on permutations
Jun Ma1 ; Shi-Mei Ma2 ; Yeong-Nan Yeh3 ; Xu Zhu1
1Shanghai Jiao Tong University
2Northeastern University at Qinhuangdao
3Academia sinica
The electronic journal of combinatorics, Tome 23 (2016) no. 4
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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.
DOI : 10.37236/5673
Classification : 05A05, 11B68
Mots-clés : permutations, cycle descents, perfect matchings, involutions, Eulerian polynomials

Jun Ma  1   ; Shi-Mei Ma  2   ; Yeong-Nan Yeh  3   ; Xu Zhu  1

1 Shanghai Jiao Tong University
2 Northeastern University at Qinhuangdao
3 Academia sinica 
@article{10_37236_5673,
     author = {Jun Ma and Shi-Mei Ma and Yeong-Nan Yeh and Xu Zhu},
     title = {The cycle descent statistic on permutations},
     journal = {The electronic journal of combinatorics},
     year = {2016},
     volume = {23},
     number = {4},
     doi = {10.37236/5673},
     zbl = {1351.05010},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/5673/}
}
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Jun Ma; Shi-Mei Ma; Yeong-Nan Yeh; Xu Zhu. The cycle descent statistic on permutations. The electronic journal of combinatorics, Tome 23 (2016) no. 4. doi: 10.37236/5673

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