Title of article :
Finite groups admitting a connected cubic integral bi-Cayley graph
Author/Authors :
Arezoomand, Majid Department of engineering - University of Larestan Larestan, Iran , Taeri, Bijan Department of mathematical sciences - Isfahan University of Technology Isfahan, Iran
Abstract :
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×{1,2} and edge set {{(x,1),(sx,2)}∣s∈S,x∈G}. In this paper, we classify all finite groups admitting a connected cubic integral bi-Cayley graph.
Keywords :
Bi-Cayley graph , Irreducible representation , Integer eigenvalues
Journal title :
Astroparticle Physics
