| 二面体群上构作的结合方案 |
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| 引用本文： | 岳孟田,李增提.二面体群上构作的结合方案[J].数学杂志,2015,35(1):103-109. |
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| 作者姓名： | 岳孟田 李增提 |
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| 作者单位： | 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 |
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| 基金项目： | Natural Science Foundation of Hebei Province，Natural Science Foundation of Hebei Education Department，the Doctor Foundation of Langfang Teachers’ College |
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| 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。
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| 关 键 词： | 二面体群 结合方案 强正则图 |
| 收稿时间： | 2013/10/9 0:00:00 |
| 修稿时间： | 2014/3/3 0:00:00 |
CONSTRUCTION OF AN ASSOCIATION SCHEME OVER DIHEDRAL GROUP |
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| YUE Meng-tian and LI Zeng-ti.CONSTRUCTION OF AN ASSOCIATION SCHEME OVER DIHEDRAL GROUP[J].Journal of Mathematics,2015,35(1):103-109. |
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| Authors: | YUE Meng-tian and LI Zeng-ti |
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| Institution: | Department of Scientific Research, Langfang Teachers''College, Langfang 065000, China and Mathematics and Information College, Langfang Teachers''College, Langfang 065000, China |
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| 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. |
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| Keywords: | dihedral group association scheme strongly regular graphs |
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