Binomial edge ideals of small depth

JOURNAL OF ALGEBRA

卷:572

Article

Malayeri, Mohammad Rouzbahani¹  Madani, Sara Saeedi^1,2  Kiani, Dariush^1,2 

[1] Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran Polytech, Tehran, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

关键词: Binomial edge ideals;    Depth;    Hochster type formula;    Meet-contractible;   

DOI  :  10.1016/j.jalgebra.2020.11.024

来源: Elsevier

【 摘 要 】

Let G be a graph on [n] and J(G) be the binomial edge ideal of G in the polynomial ring S = K [x(1), ..., x(n), y(1), ..., y(n)] . In this paper we investigate some topological properties of a poset associated to the minimal primary decomposition of J(G). We show that this poset admits some specific subposets which are contractible. This in turn, provides some interesting algebraic consequences. In particular, we characterize all graphs G for which depth S/J(G) = 4. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free