Regularity of symbolic powers of edge ideals of unicyclic graphs

被引：12

作者：

Fakhari, S. A. Seyed ^{[1
,2
]}

机构：

[1] Univ Tehran, Coll Sci, Sch Math Stat & Comp Sci, Tehran, Iran

[2] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet, Hanoi, Vietnam

来源：

JOURNAL OF ALGEBRA | 2020年 / 541卷

关键词：

Castelnuovo-Mumford regularity; Edge ideal; Symbolic power; Unicyclic graph; PROJECTIVE DIMENSION; BOUNDS;

D O I：

10.1016/j.jalgebra.2019.08.039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a unicyclic graph with edge ideal I(G). For any integer s >= 1, we denote the s-th symbolic power of I(G) by I(G)((s)). It is shown that reg(I(G)((s))) = reg(I(G)(s)), for every s >= 1. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：345 / 358

页数：14

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