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J4 ›› 2011, Vol. 46 ›› Issue (12): 70-75.

• 论文 • 上一篇    下一篇

容斥原理的拓展及其应用(Ⅱ)

唐善刚   

  1. 西华师范大学数学与信息学院,  四川 南充  637002
  • 收稿日期:2010-11-09 出版日期:2011-12-20 发布日期:2011-12-24
  • 作者简介:唐善刚(1978- ),男,讲师,硕士,研究方向为组合数学与群论. Email:tangshangang2001@163.com
  • 基金资助:

    西华师范大学校基金资助项目(09A018)

A generalization of principle of inclusion-exclusion and its application(Ⅱ)

TANG Shan-gang   

  1. College of Mathematics and Information, China West Normal University, Nanchong 637002, Sichuan, China
  • Received:2010-11-09 Online:2011-12-20 Published:2011-12-24

摘要:

将容斥原理拓展到赋权有限集上具带权表达式的一般化情形,得到了具带权表达式的广义容斥原理,并给出广义容斥原理在组合计数中的具体应用。

关键词: 赋权有限集;广义容斥原理;组合计数

Abstract:

The principle of inclusion-exclusion is extended to the general restricted conditions on a weighted finite set, a weighted generalization of principle of inclusion-exclusion is given. Some applications of generalized principle of inclusion-exclusion are given on the combinatorial enumeration.

Key words:  weighted finite set; generalized principle of inclusion-exclusion; combinatorial enumeration

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