Matchings and squarefree powers of edge ideals

Erey, Nursel; Herzog, Jürgen; Hibi, Takayuki; Saeedi Madani, Sara

doi:10.1016/j.jcta.2021.105585

Matchings and squarefree powers of edge ideals

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Erey N., Herzog J., Hibi T., Saeedi Madani S.

Journal of Combinatorial Theory. Series A, vol.188, 2022 (SCI-Expanded)

Publication Type: Article / Article
Volume: 188
Publication Date: 2022
Doi Number: 10.1016/j.jcta.2021.105585
Journal Name: Journal of Combinatorial Theory. Series A
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, MathSciNet, zbMATH, DIALNET
Keywords: Matchings, Edge ideals, Squarefree powers, MONOMIAL IDEALS, REGULARITY, BOUNDS
Kocaeli University Affiliated: No

Abstract

© 2021Squarefree 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.