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Subconstituents of orthogonal graphs of characteristic 2
Zhou, Kai1; Gu, Zhenhua2; Wan, Zhe-Xian3
2016-10-15
发表期刊LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN0024-3795
卷号507页码:251-266
摘要The subconstituents of the (singular) orthogonal graphs over finite fields of characteristic 2 are studied. After considering the actions of the orthogonal group on the graphs, their parameters are calculated. We show that the first subconstituent is strongly regular and that for all but the smallest cases, the second subconstituent is quasi-strongly regular and edge regular. The automorphism group of the second subconstituent is also determined. (C) 2016 Elsevier Inc. All rights reserved.
关键词Orthogonal graphs Subconstituents Strongly regular Quasi-strongly regular Graph automorphisms
DOI10.1016/j.laa.2016.05.036
语种英语
资助项目National Natural Science Foundation of China[11301509] ; National Natural Science Foundation of China[11501396] ; National Natural Science Foundation of China[61121062/F02] ; Priority Academic Program Development of Jiangsu Higher Education Institutions
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000382591700017
出版者ELSEVIER SCIENCE INC
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/23508
专题系统科学研究所
通讯作者Gu, Zhenhua
作者单位1.Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Peoples R China
2.Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Zhou, Kai,Gu, Zhenhua,Wan, Zhe-Xian. Subconstituents of orthogonal graphs of characteristic 2[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2016,507:251-266.
APA Zhou, Kai,Gu, Zhenhua,&Wan, Zhe-Xian.(2016).Subconstituents of orthogonal graphs of characteristic 2.LINEAR ALGEBRA AND ITS APPLICATIONS,507,251-266.
MLA Zhou, Kai,et al."Subconstituents of orthogonal graphs of characteristic 2".LINEAR ALGEBRA AND ITS APPLICATIONS 507(2016):251-266.
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