论文标题

来自部分总和族的强烈定期图的两种构建

Two Kinds of Constructions of Directed Strongly Regular Graphs from Partial Sum Families and Semi-direct Products of Groups

论文作者

Zhou, Jingkun, He, Zhiwen, Chai, Zhao

论文摘要

在本文中,我们通过使用带有本地环的部分总和家族来构建具有新参数的强烈规则图。获得了16个新的定向定期图表的家庭,并给出了统一的部分总和系列。基于有限场的循环数量,我们提出了两个无限的定向定期的Cayley图的无限族,该家族来自组的半独立产品。

In this paper, we construct directed strongly regular graphs with new parameters by using partial sum families with local rings. 16 families of new directed strongly regular graphs are obtained and the uniform partial sum families are given. Based on the cyclotomic numbers of finite fields, we present two infinite families of directed strongly regular Cayley graphs from semi-direct products of groups.

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