KMS Of Academy of mathematics and systems sciences, CAS
Orthogonal graphs of characteristic 2 and their automorphisms | |
WAN ZheXian; ZHOU Kai | |
2009 | |
发表期刊 | Science in China. Series A: Mathematics |
ISSN | 1006-9283 |
卷号 | 52期号:2页码:361 |
摘要 | The (singular) orthogonal graph O(2v+δ,q) over a field with q elements and of characteristic 2 (where v≥1, and δ= 0,1 or 2) is introduced. When v = 1, O(2·1,q), O(2·1+1,q) and O(2·1 + 2, q) are complete graphs with 2, q + 1 and q~2 + 1 vertices, respectively. When v≥2, O(2v+δ,q) is strongly regular and its parameters are computed. O(2v+1, q) is isomorphic to the symplectic graph Sp(2v, q). The chromatic number of O(2v+δ, q) except when δ=0 and v is odd is computed and the group of graph automorphisms of O(2v+δ, q) is determined. |
语种 | 英语 |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/7987 |
专题 | 系统科学研究所 |
作者单位 | 中国科学院数学与系统科学研究院 |
推荐引用方式 GB/T 7714 | WAN ZheXian,ZHOU Kai. Orthogonal graphs of characteristic 2 and their automorphisms[J]. Science in China. Series A: Mathematics,2009,52(2):361. |
APA | WAN ZheXian,&ZHOU Kai.(2009).Orthogonal graphs of characteristic 2 and their automorphisms.Science in China. Series A: Mathematics,52(2),361. |
MLA | WAN ZheXian,et al."Orthogonal graphs of characteristic 2 and their automorphisms".Science in China. Series A: Mathematics 52.2(2009):361. |
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