应用Mathematica计算组合数学问题

Using mathematica to solve combinatorial problems

讨论组合数学中的带有条件限制的排列和组合问题的计算机算法,特别对典型的错排问题、有禁位排列问题和重集的组合问题进行了研究.在对照传统的理论解法的基础上,再运用数学软件Mathematica4.0在计算机上进行编程计算.

This paper is mainly deal with the permutation and combination problems solved by using mathematical software mathematica 4.0. These problems are constrained by many restrictions, so they are hard to get their numerical solutions.