A Note on Eigenvalues of Cayley Graphs
Combinatorics
2023-12-21 v1 Group Theory
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.
Cite
@article{arxiv.2310.09058,
title = {A Note on Eigenvalues of Cayley Graphs},
author = {Arnbjörg Soffía Árnadóttir and Chris Godsil},
journal= {arXiv preprint arXiv:2310.09058},
year = {2023}
}
Comments
8 pages