Ramanujan Cayley graphs on sporadic groups

نویسندگان

1 Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, 65719-95863, I. R. Iran

doi
10.22061/jdma.2023.10294.1062
چکیده

Let $\Gamma$ be a $k-$regular graph with the second maximum  eigenvalue $\lambda$. Then  $\Gamma$ is said o be Ramanujan graph if $\lambda\leq 2\sqrt{k-1}$. Let $G$ be a finite group  and $\Gamma=Cay(G,S)$ be a Cayley graph related to $G$. The aim of this paper is to investigate the Ramanujan Cayley graphs of sporadic groups.