Irreducible decomposition of powers of edge ideals

JOURNAL OF ALGEBRA

卷:556

Article

Morales, Marcel¹  Nguyen Thi Dung² 

[1] Univ Grenoble Alpes, Inst Fourier, UMR 5582, BP 74, St Martin Dheres 38402, France

[2] Thai Nguyen Univ Agr & Forestry, Thai Nguyen, Vietnam

关键词: Irreducible decomposition;    Primary decomposition;    Associated prime;    Corner element;    Edge ideal;    Graph;    Toric edge ideal;   

DOI  :  10.1016/j.jalgebra.2020.01.027

来源: Elsevier

【 摘 要 】

In this paper by using some tools from graph theory, mainly the theorem on ear decomposition of factor-critical graphs given by L. Lovasz and the canonical decomposition of a graph given by Edmonds and Gallai, we can describe each irreducible component of powers of edge ideals of a graph. As an application we use our results to persistence of irreducible components, to bound dstab and to count the number of irreducible components of powers of edge ideals of a graph. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free