English

The peak statistics on simsun permutations

Combinatorics 2016-02-02 v2

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.

Keywords

Cite

@article{arxiv.1601.06505,
  title  = {The peak statistics on simsun permutations},
  author = {Shi-Mei Ma and Yeong-Nan Yeh},
  journal= {arXiv preprint arXiv:1601.06505},
  year   = {2016}
}

Comments

13 pages

R2 v1 2026-06-22T12:35:51.108Z