The peak statistics on simsun permutations

2016/01/25 by Shi-Mei Ma, Ma, Shi-Mei, Yeong-Nan Yeh +1
Mathematics · #05A05 #05A15 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05A05 #msc:05A15

paper · pdf · doi:10.48550/arxiv.1601.06505

13 pages

arxiv created 2016/02/01 · arxiv updated 2016/02/02

Abstract

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.

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