Eigenvalues of Cayley graphs

Abstract

We survey some of the known results on eigenvalues of Cayley graphs and their applications, together with related results on eigenvalues of Cayley digraphs and generalizations of Cayley graphs.

The final version

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Cited by in corpus (10)

• Integral equienergetic non-isospectral unitary Cayley graphs
• Quantum symmetries of Cayley graphs of abelian groups
• Aldous' spectral gap property for normal Cayley graphs on symmetric groups
• The second largest eigenvalue of normal Cayley graphs on symmetric groups generated by cycles
• Singular Graphs with Dihedral Group Action
• Universality classes for purification in nonunitary quantum processes
• On expander Cayley graphs from Galois rings
• Intersective sets over abelian groups
• The second largest eigenvalue of some nonnormal Cayley graphs on symmetric groups
• On the second eigenvalue of a Cayley graph of the symmetric group