2-Arc-Transitive Regular Covers of K-n,K-n Having the Covering Transformation Group Z(p)(2)
文献类型：期刊论文
| 作者 | Du, Shaofei1; Xu, Wenqin2; Yan, Guiying3
|
| 刊名 | COMBINATORICA
 |
| 出版日期 | 2018-08-01 |
| 卷号 | 38期号:4页码:803-826 |
| ISSN号 | 0209-9683 |
| DOI | 10.1007/s00493-016-3511-x |
| 英文摘要 | This paper contributes to the classification of finite 2-arc-transitive graphs. In [12], all the regular covers of complete bipartite graphs K-n,K-n were classified, whose covering transformation group is cyclic and whose fibre-preserving automorphism group acts 2-arc-transitively. In this paper, a further classification is achieved for all the regular covers of K-n,K-n, whose covering transformation group is elementary abelian group of order p(2) and whose fibre-preserving automorphism group acts 2-arc-transitively. As a result, two new infinite families of 2-arc-transitive graphs are found. Moveover, it will be explained that it seems to be infeasible to classify all such covers when the covering transformation group is an elementary abelian group of order p(k) for an arbitrary integer k. |
| 资助项目 | National Natural Science Foundation of China[11271267] ; National Natural Science Foundation of China[11371259] ; National Natural Science Foundation of China[11371355] ; National Research Foundation for the Doctoral Program of Higher Education of China[20121108110005] ; China Postdoctoral Science Foundation[2016M591271] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000443306900003 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31194]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Du, Shaofei |
| 作者单位 | 1.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 2.North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Du, Shaofei,Xu, Wenqin,Yan, Guiying. 2-Arc-Transitive Regular Covers of K-n,K-n Having the Covering Transformation Group Z(p)(2)[J]. COMBINATORICA,2018,38(4):803-826. |
| APA | Du, Shaofei,Xu, Wenqin,&Yan, Guiying.(2018).2-Arc-Transitive Regular Covers of K-n,K-n Having the Covering Transformation Group Z(p)(2).COMBINATORICA,38(4),803-826. |
| MLA | Du, Shaofei,et al."2-Arc-Transitive Regular Covers of K-n,K-n Having the Covering Transformation Group Z(p)(2)".COMBINATORICA 38.4(2018):803-826. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。