The Peak Statistics on Simsun Permutations

  • Shi-Mei Ma
  • Yeong-Nan Yeh
Keywords: Simsun permutations, Left peaks, Interior peaks, Alternating runs, Excedances

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.
Published
2016-04-15
Article Number
P2.14