二面体群上构作的结合方案

摘要

本文研究了二面体群的元素的等价划分问题。利用群在集合上的作用，在二面体群上构造了一类新的结合方案，并且计算了这类结合方案的所有参数。进一步，得到了一类强正则图。所得到的结果丰富了结合方案理论。%In this paper, we study the dihedral group of elements of the equivalence parti-tioning. By using the group acting on the set, we obtain the construction of association schemes on the dihedral group and all parameters of these schemes are computed. Moreover, we obtain a family of strongly regular graphs. The result enriches the theory of association scheme.