Matchings and squarefree powers of edge ideals
Commutative Algebra
2019-09-26 v1 Combinatorics
Abstract
Squarefree powers of edge ideals are intimately related to matchings of the underlying graph. In this paper we give bounds for the regularity of squarefree powers of edge ideals, and we consider the question of when such powers are linearly related or have linear resolution. We also consider the so-called squarefree Ratliff property.
Cite
@article{arxiv.1909.11420,
title = {Matchings and squarefree powers of edge ideals},
author = {Nursel Erey and Jürgen Herzog and Takayuki Hibi and Sara Saeedi Madani},
journal= {arXiv preprint arXiv:1909.11420},
year = {2019}
}
Comments
21 pages, 6 figures