Set partitions with restrictions

被引：14

作者：

Chu, Wenchang ^{[1
]}

Wei, Chuanan ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

DISCRETE MATHEMATICS | 2008年 / 308卷 / 15期

关键词：

stirling number of the second kind; principle of inclusion and exclusion; set partitions;

D O I：

10.1016/j.disc.2007.06.041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on finite set partitions, we introduce restrictions to the distances among the elements in each pan and refine the Stirling numbers of the second kind with an extra parameter in two different ways. Combinatorial approach through distributions of "balls into boxes" is employed to establish explicit formulae. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：3163 / 3168

页数：6