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
收藏
页码：345 / 358
页数：14
相关论文
共 50 条
  • [1] REGULARITY OF POWERS OF EDGE IDEALS OF UNICYCLIC GRAPHS
    Alilooee, Ali
    Beyarslan, Selvi Kara
    Selvaraja, S.
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2019, 49 (03) : 699 - 728
  • [2] ON THE REGULARITY OF SMALL SYMBOLIC POWERS OF EDGE IDEALS OF GRAPHS
    Fakhari, S. A. Seyed
    [J]. MATHEMATICA SCANDINAVICA, 2023, 129 (01) : 39 - 59
  • [3] Regularity of symbolic powers of edge ideals of chordal graphs
    Fakhari, S. A. Seyed
    [J]. KYOTO JOURNAL OF MATHEMATICS, 2022, 62 (04) : 753 - 762
  • [4] Regularity of symbolic powers of edge ideals
    Jayanthan, A., V
    Kumar, Rajiv
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2020, 224 (07)
  • [5] Symbolic defects of edge ideals of unicyclic graphs
    Mandal, Mousumi
    Pradhan, Dipak Kumar
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (05)
  • [6] Regularity of symbolic powers of edge ideals of Cameron-Walker graphs
    Seyed Fakhari, S. A.
    [J]. COMMUNICATIONS IN ALGEBRA, 2020, 48 (12) : 5215 - 5223
  • [7] An upper bound for the regularity of symbolic powers of edge ideals of chordal graphs
    Fakhari, Seyed Amin Seyed
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2019, 26 (02):
  • [8] Symbolic powers of edge ideals of graphs
    Gu, Yan
    Ha, Huy Tai
    O'Rourke, Jonathan L.
    Skelton, Joseph W.
    [J]. COMMUNICATIONS IN ALGEBRA, 2020, 48 (09) : 3743 - 3760
  • [9] Regularity of symbolic powers of cover ideals of graphs
    Fakhari, S. A. Seyed
    [J]. COLLECTANEA MATHEMATICA, 2019, 70 (02) : 187 - 195
  • [10] Regularity of symbolic powers of cover ideals of graphs
    S. A. Seyed Fakhari
    [J]. Collectanea Mathematica, 2019, 70 : 187 - 195
12345