A Note on Eigenvalues of Cayley Graphs
arXiv:2310.09058 · doi:10.1016/j.laa.2023.12.002
Abstract
A graph is called integral if all its eigenvalues are integers. A Cayley graph is called normal if its connection set is a union of conjugacy classes. We show that a non-empty integral normal Cayley graph for a group of odd order has an odd eigenvalue.
8 pages