关于“容斥原理的拓广及其应用”的注记

J4 ›› 2012, Vol. 47 ›› Issue (10): 64-69.

关于“容斥原理的拓广及其应用”的注记

唐善刚

西华师范大学数学与信息学院, 四川南充 637009

收稿日期:2011-07-25 出版日期:2012-11-20 发布日期:2012-10-26
作者简介:唐善刚(1978- ),男,副教授,硕士,主要从事组合学及群论研究. Email:tangshangang2001@163.com
基金资助:
西华师范大学校基金资助项目(11A032)

A note on“generalized principle of inclusionexclusion and its application”

TANG Shan-gang

College of Mathematics and Information, China West Normal University, Nanchong 637009, Sichuan, China

Received:2011-07-25 Online:2012-11-20 Published:2012-10-26

摘要/Abstract

摘要：

得到了赋权有限集上具带权表达式的广义容斥原理,改进了已有文献的一个定理的缺陷,并应用广义容斥原理拓广了ménage问题,且得到拓广的ménage问题的计数定理。

关键词: 赋权有限集;广义容斥原理;ménage问题

Abstract:

A generalized principle of inclusion-exclusion which is a essential improvement of a well known theorem is given on a weighted finite set. By using generalized principle of inclusion-exclusion, a kind of ménage problem is extended and some enumerating theorems are given on the ménage problem.

Key words: weighted finite set; generalized principle of inclusion-exclusion; ménage problem

唐善刚. 关于“容斥原理的拓广及其应用”的注记[J]. J4, 2012, 47(10): 64-69.

TANG Shan-gang. A note on“generalized principle of inclusionexclusion and its application”[J]. J4, 2012, 47(10): 64-69.

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