This paper gives exact formulas for the regularity of edge ideals of edge-weighted integrally closed trees. In addition, we provide some linear upper bounds on the regularity of powers of such ideals.
@article{arxiv.2403.03609,
title = {Powers of edge ideals of edge-weighted trees},
author = {Jiaxin Li and Guangjun Zhu and Shiya Duan},
journal= {arXiv preprint arXiv:2403.03609},
year = {2024}
}