A Note on Eigenvalues of Cayley Graphs

Published 13 Oct 2023 in math.CO and math.GR | (2310.09058v1)

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.

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