Bounds on regularity of quadratic monomial ideals

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:176

Article

Blekherman, Grigoriy¹  Jung, Jaewoo¹ 

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

关键词: Monomial ideal;    Castelnuovo-Mumford regularity;    Minimal free resolution;    Quadratic monomial ideal;   

DOI  :  10.1016/j.jcta.2020.105296

来源: Elsevier

【 摘 要 】

Castelnuovo-Mumford regularity is a measure of algebraic complexity of an ideal. Regularity of monomial ideals can be investigated combinatorially. We use a simple graph decomposition and results from structural graph theory to prove, improve and generalize many of the known bounds on regularity of quadratic square-free monomial ideals. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free