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二面体群上构作的结合方案
岳孟田¹, 李增提²
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

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.

关键词: 二面体群结合方案强正则图

DOI：

分类号:O157

基金项目: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).

CONSTRUCTION OF AN ASSOCIATION SCHEME OVER DIHEDRAL GROUP

YUE Meng-tian¹, LI Zeng-ti²

1.Department of Scientific Research, Langfang Teachers'College, Langfang 065000, China;2.Mathematics and Information College, Langfang Teachers'College, Langfang 065000, China

Abstract:

In this paper, we study the dihedral group of elements of the equivalence partitioning. 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.

Key words: dihedral group association scheme strongly regular graphs