南方科技大学知识苑(SUSTech KC): Constructing 2-Arc-Transitive Covers of Hypercubes

题名	Constructing 2-Arc-Transitive Covers of Hypercubes
作者	Giudici, Michael 1; Li, Caiheng2 ; Xu, Yian 3
通讯作者	Xu, Yian
发表日期	2019-09
DOI	10.1007/s00373-019-02049-8
发表期刊	GRAPHS AND COMBINATORICS 影响因子和分区
ISSN	0911-0119
EISSN	1435-5914
卷号	35 期号:5页码:973-987
摘要	We introduce the notion of a symmetric basis of a vector space equipped with a quadratic form, and provide a sufficient and necessary condition for the existence to such a basis. Symmetric bases are then used to study Cayley graphs of certain extraspecial 2-groups of order which are further shown to be normal Cayley graphs and 2-arc-transitive covers of 2r-dimensional hypercubes.
关键词	Extraspecial 2-group Symmetric basis Quadratic form Locally-primitive graph Normal Cayley graph
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	其他
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000485988200001
出版者	SPRINGER JAPAN KK
ESI学科分类	MATHEMATICS
来源库	Web of Science
引用统计	被引频次[WOS]：0
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/25234
专题	理学院_数学系工学院_材料科学与工程系
作者单位	1.Univ Western Australia, Sch Math & Stat, Ctr Math Symmetry & Computat, Crawley, Australia 2.Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China 3.Southeast Univ, Sch Math, Nanjing, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Giudici, Michael,Li, Caiheng,Xu, Yian. Constructing 2-Arc-Transitive Covers of Hypercubes[J]. GRAPHS AND COMBINATORICS,2019,35(5):973-987.
APA	Giudici, Michael,Li, Caiheng,&Xu, Yian.(2019).Constructing 2-Arc-Transitive Covers of Hypercubes.GRAPHS AND COMBINATORICS,35(5),973-987.
MLA	Giudici, Michael,et al."Constructing 2-Arc-Transitive Covers of Hypercubes".GRAPHS AND COMBINATORICS 35.5(2019):973-987.