多限相邻排列问题初步探索

Multi-Set of Limit Adjacent Preliminary Exploration

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