A survey of edge-spectral-Tur\'an type problems in spectral graph theory: Results, conjectures and open problems
Combinatorics
2025-12-23 v1 Spectral Theory
Abstract
The edge-spectral-Tur\'an type problem is also called the Brualdi-Hoffman-Tur\'an type problem, which is a central topic in spectral graph theory, seeking to determine the maximum spectral radius of an -free graph with edges. This problem has attracted significant attention in recent years. In this paper, we will sort out several closely related results in this type of problem and then propose some conjectures for further research.
Cite
@article{arxiv.2512.19395,
title = {A survey of edge-spectral-Tur\'an type problems in spectral graph theory: Results, conjectures and open problems},
author = {Yuantian Yu and Huihui Zhang and Minjie Zhang},
journal= {arXiv preprint arXiv:2512.19395},
year = {2025}
}