Eulerian polynomials, perfect matchings and Stirling permutations of the second kind
Combinatorics
2016-07-07 v2
Abstract
In this paper, we first present combinatorial proofs of a kind of expansions of the Eulerian polynomials of types A and B, and then we introduce Stirling permutations of the second kind. In particular, we count Stirling permutations of the second kind by their cycle ascent plateaus, fixed points and cycles.
Keywords
Cite
@article{arxiv.1607.01311,
title = {Eulerian polynomials, perfect matchings and Stirling permutations of the second kind},
author = {Shi-Mei Ma and Yeong-Nan Yeh},
journal= {arXiv preprint arXiv:1607.01311},
year = {2016}
}
Comments
16 pages