2-Arc-Transitive Regular Covers of K-n,K-n Having the Covering Transformation Group Z(p)(2)

doi:10.1007/s00493-016-3511-x

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	2-Arc-Transitive Regular Covers of K-n,K-n Having the Covering Transformation Group Z(p)(2)
	Du, Shaofei 1; Xu, Wenqin 2; Yan, Guiying3
	2018-08-01
发表期刊	COMBINATORICA
ISSN	0209-9683
卷号	38 期号:4 页码:803-826
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.
DOI	10.1007/s00493-016-3511-x
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000443306900003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31195
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.