On the Eigenvalue Spectrum of Cayley Graphs: Connections to Group Structure and Expander Properties

Cayley graphs sit at the intersection of algebra, geometry, and theoretical computer science. Their spectra encode fine structural information about both the underlying group and the graph itself. Building on classical work of Alon–Milman, Dodziuk, Margulis, Lubotzky–Phillips–Sarnak, and many others...

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Bibliographic Details

Published in:	Mathematics
Main Authors:	Mohamed A. Abd Elgawad, Junaid Nisar, Salem A. Alyami, Mdi Begum Jeelani, Qasem Al-Mdallal
Format:	Article
Language:	English
Published:	MDPI AG 2025-10-01
Subjects:	Cayley graph eigenvalue adjacency matrix spectrum
Online Access:	https://www.mdpi.com/2227-7390/13/20/3298