二面体群上构作的结合方案（英文）  

CONSTRUCTION OF AN ASSOCIATION SCHEME OVER DIHEDRAL GROUP

作　　者：岳孟田[1] 李增提[2] 

机构地区：[1]廊坊师范学院科研处,河北廊坊065000 [2]廊坊师范学院数信学院,河北廊坊065000

出　　处：《数学杂志》2015年第1期103-109,共7页Journal of Mathematics

基　　金：Supported by Natural Science Foundation of Hebei Province(A2013408009);Natural Science Foundation of Hebei Education Department(ZH2012082);the Doctor Foundation of Langfang Teachers’ College(LSBS201205)

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.

关 键 词：二面体群 结合方案 强正则图 

分 类 号：O157[理学—数学]