English

Note on the second eigenvalue of regular graphs

Combinatorics 2023-11-22 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2311.07629,
  title  = {Note on the second eigenvalue of regular graphs},
  author = {Igor Balla and Eero Räty and Benny Sudakov and István Tomon},
  journal= {arXiv preprint arXiv:2311.07629},
  year   = {2023}
}

Comments

This is a companion note to arXiv:2311.02070, and we do not plan to publish it as a separate paper

R2 v1 2026-06-28T13:19:48.886Z