Directed strongly regular graphs with rank 6

Directed strongly regular graphs with rank 6
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秩为 6 的有向强正则图

DOI:
10.1016/j.disc.2016.10.013
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发表时间:
2017-06
影响因子:
0.8
通讯作者:
Liu Jinwang
Liu Jinwang
中科院分区:
数学3区
文献类型:
--
作者:
Ma Junye;Zhang Bicheng;Liu Jinwang

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本文研究了邻接矩阵秩为6的有向强正则图的24种可能性,我们的证明基于两种有效的算法。最后得到了4类具有可实现参数集的有向强正则图,排除了20类具有可行参数集的有向强正则图,部分解决了邻接矩阵秩为6的有向强正则图的分类问题.
In this paper, we study 24 possibilities of directed strongly regular graphs with adjacency matrix of rank 6, our proof is based on two effective algorithms. At last, we get 4 families of directed strongly regular graphs with realizable parameter sets, exclude 20 families of directed strongly regular graphs with feasible parameter sets; partially solve the classification problem of directed strongly regular graphs with adjacency matrix of rank 6.
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