We prove that the regularity of edge ideals of powers of forests is weakly decreasing. We then compute the regularity of edge ideals of powers of cycles.
@article{arxiv.2502.05126,
title = {Regularity of edge ideals of powers of graphs},
author = {My Hanh Pham and Thanh Vu},
journal= {arXiv preprint arXiv:2502.05126},
year = {2025}
}