Subconstituents of the orthogonal graph of type (m, m −1, 0) of odd characteristic

Subconstituents of the orthogonal graph of type (m, m −1, 0) of odd characteristic
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奇数特征(m,m≤1,0)型正交图的子成分

DOI:
10.1016/j.laa.2017.02.033
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发表时间:
2017
影响因子:
1.1
通讯作者:
张更生
张更生
中科院分区:
数学3区
文献类型:
--
作者:
霍丽君;张更生

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本文引入了Fq上奇特征的(m,m-1,0)型正交图。我们研究了图的基本性质,证明了它的第一子成分是广义强正则图。给出了第二子成分的结构和各子成分之间的邻接关系。
In this paper, the orthogonal graph of type (m, m −1, 0) over Fq of odd characteristic is introduced. We study the elementary properties of the graph and show that the first subconstituent of it is a generalized strongly regular graph. Moreover, the structure of the second subconstituent and the adjacency relations between different subconstituents are given.