Geodesic
The peak statistics on simsun permutations
Shi-Mei Ma1 ; Yeong-Nan Yeh2
1Northeastern University at Qinhuangdao
2Institute of Mathematics, Academia Sinica, Taiwan
The electronic journal of combinatorics, Tome 23 (2016) no. 2
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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.
DOI : 10.37236/5908
Classification : 05A05, 05A15
Mots-clés : simsun permutations, left peaks, interior peaks, alternating runs, excedances

Shi-Mei Ma  1   ; Yeong-Nan Yeh  2

1 Northeastern University at Qinhuangdao
2 Institute of Mathematics, Academia Sinica, Taiwan 
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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

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