Orthogonal graphs of characteristic 2 and their automorphisms
文献类型：期刊论文
| 作者 | Wan ZheXian; Zhou Kai; WAN ZheXian
|
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2009-02-01 |
| 卷号 | 52期号:2页码:361-380 |
| 关键词 | singular orthogonal graphs regularity chromatic number automorphisms |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-009-0018-6 |
| 英文摘要 | The (singular) orthogonal graph O(2 nu + delta, q) over a field with q elements and of characteristic 2 (where nu a (c) 3/4 1, and delta = 0, 1 or 2) is introduced. When nu = 1, O(2 center dot 1, q), O(2 center dot 1 + 1, q) and O(2 center dot 1 + 2, q) are complete graphs with 2, q + 1 and q (2) + 1 vertices, respectively. When nu a (c) 3/4 2, O(2 nu + delta, q) is strongly regular and its parameters are computed. O(2 nu + 1, q) is isomorphic to the symplectic graph Sp(2 nu, q). The chromatic number of O(2 nu + nu, q) except when delta = 0 and nu is odd is computed and the group of graph automorphisms of O(2 nu + delta, q) is determined. |
| 资助项目 | National Natural Science Foundation of China[10731070] ; Major State Basic Research Development Program of China[2004CB318000] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000264135700015 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7986]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Zhou Kai |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wan ZheXian,Zhou Kai,WAN ZheXian. Orthogonal graphs of characteristic 2 and their automorphisms[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2009,52(2):361-380. |
| APA | Wan ZheXian,Zhou Kai,&WAN ZheXian.(2009).Orthogonal graphs of characteristic 2 and their automorphisms.SCIENCE IN CHINA SERIES A-MATHEMATICS,52(2),361-380. |
| MLA | Wan ZheXian,et al."Orthogonal graphs of characteristic 2 and their automorphisms".SCIENCE IN CHINA SERIES A-MATHEMATICS 52.2(2009):361-380. |
入库方式： OAI收割
来源：数学与系统科学研究院
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