SPLITTINGS FOR SYMBOLIC POWERS OF EDGE IDEALS OF COMPLETE GRAPHS

被引：0

作者：

Cooper, Susan M. ^{[1
]}

Da Silva, Sergio ^{[2
]}

Gutkin, Max ^{[1
]}

Reimer, Tessa ^{[3
]}

机构：

[1] Univ Manitoba, Dept Math, Winnipeg, MB, Canada

[2] Virginia State Univ, Dept Math & Econ, Petersburg, VA USA

[3] Univ Manitoba, Dept Stat, Winnipeg, MB, Canada

来源：

JOURNAL OF COMMUTATIVE ALGEBRA | 2024年 / 16卷 / 02期

关键词：

Betti numbers; splittings; symbolic powers; edge ideals; BETTI NUMBERS;

D O I：

10.1216/jca.2024.16.183

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the s -th symbolic powers of the edge ideals of complete graphs. In particular, we provide a criterion for finding an Eliahou-Kervaire splitting on these ideals, and we use the splitting to provide a description for the graded Betti numbers. We also discuss the symbolic powers and graded Betti numbers of edge ideals of parallelizations of finite simple graphs.

引用

页码：183 / 196

页数：14

共 50 条

[1] Symbolic powers of edge ideals of graphs
Gu, Yan
Ha, Huy Tai
O'Rourke, Jonathan L.
Skelton, Joseph W.
COMMUNICATIONS IN ALGEBRA, 2020, 48 (09) : 3743 - 3760
[2] ON THE DEPTH OF SYMBOLIC POWERS OF EDGE IDEALS OF GRAPHS
Fakhari, S. A. S.
NAGOYA MATHEMATICAL JOURNAL, 2022, 245 : 28 - 40
[3] Regularity of symbolic powers of edge ideals of unicyclic graphs
Fakhari, S. A. Seyed
JOURNAL OF ALGEBRA, 2020, 541 : 345 - 358
[4] Regularity of symbolic powers of edge ideals of chordal graphs
Fakhari, S. A. Seyed
KYOTO JOURNAL OF MATHEMATICS, 2022, 62 (04) : 753 - 762
[5] ON THE REGULARITY OF SMALL SYMBOLIC POWERS OF EDGE IDEALS OF GRAPHS
Fakhari, S. A. Seyed
MATHEMATICA SCANDINAVICA, 2023, 129 (01) : 39 - 59
[6] Comparing symbolic powers of edge ideals of weighted oriented graphs
Mandal, Mousumi
Pradhan, Dipak Kumar
JOURNAL OF ALGEBRAIC COMBINATORICS, 2022, 56 (02) : 453 - 474
[7] Lower bounds for the depth of symbolic powers of edge ideals of graphs
Fakhari, S. A. Seyed
JOURNAL OF ALGEBRA, 2024, 639 : 422 - 439
[8] Properties of symbolic powers of edge ideals of weighted oriented graphs
Mandal, Mousumi
Pradhan, Dipak Kumar
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2023, 33 (05) : 927 - 951
[9] Ordinary and Symbolic Powers of Edge Ideals of Weighted Oriented Graphs
Banerjee, Arindam
Das, Kanoy Kumar
Selvaraja, S.
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2025, 48 (03)
[10] Comparing symbolic powers of edge ideals of weighted oriented graphs
Mousumi Mandal
Dipak Kumar Pradhan
Journal of Algebraic Combinatorics, 2022, 56 : 453 - 474

← 1 2 3 4 5 →