Construction of strongly regular Cayley graphs based on three-valued Gauss periods
Construction of strongly regular Cayley graphs based on three-valued Gauss periods
复制标题
DOI：
10.1016/j.ejc.2018.01.007
复制
发表时间：
2017-05
期刊：
影响因子：
--
通讯作者：
K. Momihara
中科院分区：
文献类型：
--
作者：
K. Momihara
本文给出了有限域的可加群上基于三值高斯周期的强正则Cayley图的构造。作为结果，我们得到了两个新的强正则凯莱图的无限族和一个零星的例子。这种构造可以看作是班贝格等人（0000）强正则Cayley图构造的推广.
In this paper, we give a construction of strongly regular Cayley graphs on the additive groups of finite fields based on three-valued Gauss periods. As consequences, we obtain two infinite families and one sporadic example of new strongly regular Cayley graphs. This construction can be viewed as a generalization of that of strongly regular Cayley graphs obtained in Bamberg et al. (0000).