多限相邻排列问题初步探索  

Multi-Set of Limit Adjacent Preliminary Exploration

作　　者：詹高娃 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《汕头大学学报（自然科学版）》2015年第2期34-37,71,共5页Journal of Shantou University：Natural Science Edition

摘　　要：本文研究限定相邻元素的排列问题,由单组的限邻问题推广多组限邻问题,并得到集合中若干个不相交子集之间的限邻排列问题的解决办法,其中多次用到容斥原理、集合的交并运算和归纳与猜想原理,并对定理进行了初步的推广与应用.In this paper, the permutation problem of limit adjacent elements is studied. The single set of limit problem is extended to multi-set of limit problem by using inclusion-exclusion principle, collection of occurring simultaneously and principle of induction and conjecture frequently. A solution to deal with limit adjacent arrangement problems about collection of several disjoint subsets is achieved. Preliminary popularization and application of the theorem are also studied

关 键 词：限邻排列 线性排列 圆排列 

分 类 号：O157[理学—数学]