Orthogonal graphs of odd characteristic and their automorphisms

Orthogonal graphs of odd characteristic and their automorphisms
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DOI:
10.1016/j.ffa.2006.12.001
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发表时间:
2008-04
期刊:
Finite Fields Their Appl.
影响因子:
--
通讯作者:
Zhenhua Gu;Z. Wan
Zhenhua Gu;Z. Wan
中科院分区:
其他
文献类型:
--
作者:
Zhenhua Gu;Z. Wan

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(各向同性)正交图O(2ν+δ,q)在奇数特征的Fqof上,其中引入了ν大于或等于1和δ=0,1或2。当ν=1时,O(2·1+δ,q)是完全图。当ν大于或等于2时,O(2ν+δ,q)是强规则的,计算它的参数,以及它的色数。确定了正交图的自同构群。
The (isotropic) orthogonal graph O(2ν+δ,q) over Fqof odd characteristic, where ν⩾1 and δ=0,1 or 2 is introduced. When ν=1, O(2⋅1+δ,q) is a complete graph. When ν⩾2, O(2ν+δ,q) is strongly regular and its parameters are computed, as well as its chromatic number. The automorphism groups of orthogonal graphs are also determined.