English

Derivative polynomials and enumeration of permutations by their alternating descents

Combinatorics 2015-04-10 v1

Abstract

In this paper we present an explicit formula for the number of permutations with a given number of alternating descents. Moreover, we study the interlacing property of the real parts of the zeros of the generating polynomials of these numbers.

Keywords

Cite

@article{arxiv.1504.02372,
  title  = {Derivative polynomials and enumeration of permutations by their alternating descents},
  author = {Shi-Mei Ma and Yeong-Nan Yeh},
  journal= {arXiv preprint arXiv:1504.02372},
  year   = {2015}
}

Comments

6 pages