@article{Li2023, 
author = {Jianping Li and Leshi Qiu and Jianbin Zhang},
title = {Proof of a conjecture on the    ϵ-spectral radius of trees},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {2},
pages = {4363-4371},
keywords = {spectral radius, eccentricity matrix, matching number},
url = {https://www.sciopen.com/article/10.3934/math.2023217},
doi = {10.3934/math.2023217},
abstract = {The    ϵ-spectral radius of a connected graph is the largest eigenvalue of its eccentricity matrix. In this paper, we identify the unique    n-vertex tree with diameter    4 and matching number    5 that minimizes the    ϵ-spectral radius, and thus resolve a conjecture proposed in [W. Wei, S. Li, L. Zhang, Characterizing the extremal graphs with respect to the eccentricity spectral radius, and beyond, Discrete Math. 345 (2022) 112686].}
}