Eulerian polynomials, Stirling permutations of the second kind and perfect matchings

被引：0

作者：

Ma, Shi-Mei ^{[1
]}

Yeh, Yeong-Nan ^{[2
]}

机构：

[1] Northeastern Univ, Sch Math & Stat, Qinhuangdao 066004, Hebei, Peoples R China

[2] Acad Sinica, Inst Math, Taipei, Taiwan

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2017年 / 24卷 / 04期

关键词：

Eulerian polynomials; Stirling permutations of the second kind; Stirling derangements; LECTURE HALL POLYTOPES; CONTEXT-FREE GRAMMARS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, 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. Moreover, we get an expansion of the ordinary derangement polynomials in terms of the Stirling derangement polynomials. Finally, we present constructive proofs of a kind of combinatorial expansions of the Eulerian polynomials of types A and B.

引用

页数：18

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