Work

A note on eigenvalues of Cayley graphs

Year: 2023

Type: article

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.

Source: Linear Algebra and its Applications

DOI: 10.1016/j.laa.2023.12.002

Authors: Arnbjörg Soffía Árnadóttir, Chris Godsil

Institutions: Technical University of Denmark, University of Waterloo

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,760

Funders: Carlsbergfondet, Danmarks Frie Forskningsfond, Danmarks Frie Forskningsfond, Natural Sciences and Engineering Research Council of Canada