TY - JOUR ID - 1217 TI - Finite groups admitting a connected cubic integral bi-Cayley graph JO - Algebraic Structures and Their Applications JA - AS LA - en SN - 2382-9761 AU - Arezoomand, Majid AU - Taeri, Bijan AD - University of Larestan AD - Department of mathematical sciences Isfahan University of Technology Isfahan, Iran. Y1 - 2018 PY - 2018 VL - 5 IS - 2 SP - 35 EP - 43 KW - Bi-Cayley graph KW - Integer eigenvalues KW - Irreducible representation DO - 10.22034/as.2018.1217 N2 - 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. UR - https://as.yazd.ac.ir/article_1217.html L1 - https://as.yazd.ac.ir/article_1217_916b135f40cc53c43df5d1406cdac745.pdf ER -