Some combinatorial arrays related to the Lotka-Volterra system

被引：0

作者：

Callan, David ^{[1
]}

Ma, Shi-Mei ^{[2
]}

Mansour, Toufik ^{[3
]}

机构：

[1] Univ Wisconsin, Dept Stat, Madison, WI 53706 USA

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

[3] Univ Haifa, Dept Math, IL-3498838 Haifa, Israel

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2015年 / 22卷 / 02期

关键词：

Lotka-Volterra system; Context-free grammars; Cyclically ordered partitions; Eulerian numbers; DERIVATIVE POLYNOMIALS; PERMUTATIONS; ENUMERATION; NUMBER;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to investigate several context-free grammars suggested by the Lotka-Volterra system. Some combinatorial arrays, involving the Stirling numbers of the second kind and Eulerian numbers, are generated by these context-free grammars. In particular, we present grammatical characterization of some statistics on cyclically ordered partitions.

引用

页数：12

共 16 条

[1] The peak algebra and the descent algebras of types B and D [J].