In this paper we provide constructive proofs that the following three statistics are equidistributed: the number of ascent plateaus of Stirling permutations of order $n$, a weighted variant of the number of excedances in permutations of length $n$ and the number of blocks with even maximal elements in perfect matchings of the set $\{1,2,3,\ldots,2n\}$.
@article{10_37236_5318,
author = {Shi-Mei Ma and Yeong-Nan Yeh},
title = {Stirling permutations, cycle structure of permutations and perfect matchings},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {4},
doi = {10.37236/5318},
zbl = {1329.05016},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5318/}
}
TY - JOUR
AU - Shi-Mei Ma
AU - Yeong-Nan Yeh
TI - Stirling permutations, cycle structure of permutations and perfect matchings
JO - The electronic journal of combinatorics
PY - 2015
VL - 22
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.37236/5318/
DO - 10.37236/5318
ID - 10_37236_5318
ER -
%0 Journal Article
%A Shi-Mei Ma
%A Yeong-Nan Yeh
%T Stirling permutations, cycle structure of permutations and perfect matchings
%J The electronic journal of combinatorics
%D 2015
%V 22
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/5318/
%R 10.37236/5318
%F 10_37236_5318
Shi-Mei Ma; Yeong-Nan Yeh. Stirling permutations, cycle structure of permutations and perfect matchings. The electronic journal of combinatorics, Tome 22 (2015) no. 4. doi: 10.37236/5318
