Note on the second eigenvalue of regular graphs

The goal of this expository note is to give a short, self-contained proof of nearly optimal lower bounds for the second largest eigenvalue of the adjacency matrix of regular graphs.

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Bibliographic Details
Published in:arXiv.org 2023-11
Main Authors: Balla, Igor, Räty, Eero, Sudakov, Benny, Tomon, István
Format: Article
Language:English
Subjects:
Eigenvalues
Graphs
Lower bounds
Online Access:Get full text
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Description
Summary:The goal of this expository note is to give a short, self-contained proof of nearly optimal lower bounds for the second largest eigenvalue of the adjacency matrix of regular graphs.
ISSN:2331-8422