Yazd University Algebraic Structures and Their Applications 2382-9761 5 2 2018 11 01 Finite groups admitting a connected cubic integral bi-Cayley graph 35 43 1217 10.22034/as.2018.1217 EN Majid Arezoomand University of Larestan 0000-0002-4614-6350 Bijan Taeri Department of mathematical sciences Isfahan University of Technology Isfahan, Iran. Journal Article 2018 03 22 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. https://as.yazd.ac.ir/article_1217_916b135f40cc53c43df5d1406cdac745.pdf