On the distribution of eigenvalues in families of Cayley graphs

On the distribution of eigenvalues in families of Cayley graphs

We consider the family of undirected Cayley graphs associated with odd cyclic groups, and study statistics for the eigenvalues in their spectra. Our results are motivated by analogies between arithmetic geometry and graph theory.

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Veröffentlicht in:European journal of mathematics 2024-09, Vol.10 (3), Article 49
Hauptverfasser: Lalín, Matilde, Ray, Anwesh
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Eigenvalues
Graph theory
Graphs
Mathematics
Mathematics and Statistics
Research Article
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Zusammenfassung:We consider the family of undirected Cayley graphs associated with odd cyclic groups, and study statistics for the eigenvalues in their spectra. Our results are motivated by analogies between arithmetic geometry and graph theory.
ISSN:2199-675X
2199-6768
DOI:10.1007/s40879-024-00763-z