In this paper, we study the relationship among left peaks, interior peaks and up-down runs of simsun permutations. Properties of the generating polynomials, including the recurrence relation, generating function and real-rootedness are studied. Moreover, we introduce and study simsun permutations of the second kind.
1
Northeastern University at Qinhuangdao
2
Institute of Mathematics, Academia Sinica, Taiwan
Shi-Mei Ma; Yeong-Nan Yeh. The peak statistics on simsun permutations. The electronic journal of combinatorics, Tome 23 (2016) no. 2. doi: 10.37236/5908
@article{10_37236_5908,
author = {Shi-Mei Ma and Yeong-Nan Yeh},
title = {The peak statistics on simsun permutations},
journal = {The electronic journal of combinatorics},
year = {2016},
volume = {23},
number = {2},
doi = {10.37236/5908},
zbl = {1335.05007},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5908/}
}
TY - JOUR
AU - Shi-Mei Ma
AU - Yeong-Nan Yeh
TI - The peak statistics on simsun permutations
JO - The electronic journal of combinatorics
PY - 2016
VL - 23
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/5908/
DO - 10.37236/5908
ID - 10_37236_5908
ER -
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