Finite groups admitting a connected cubic integral bi-Cayley graph
نویسندگان
1 University of Larestan
2 Department of mathematical sciences Isfahan University of Technology Isfahan, Iran.
doi
10.22034/as.2018.1217چکیده
A graph is called integral if all eigenvalues of its adjacency matrix are integers. Given a subset $S$ of a finite group $G$, the bi-Cayley graph $BCay(G,S)$ is a graph with vertex set $G\times\{1,2\}$ and edge set $\{\{(x,1),(sx,2)\}\mid s\in S, x\in G\}$. In this paper, we classify all finite groups admitting a connected cubic integral bi-Cayley graph.
