Regularity of powers of (parity) binomial edge ideals

被引：2

作者：

Shen, Yi-Huang ^{[1
]}

Zhu, Guangjun ^{[2
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, CAS Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China

[2] Soochow Univ, Sch Math Sci, Suzhou 215006, Jiangsu, Peoples R China

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2023年 / 57卷 / 01期

关键词：

Regularity; Binomial edge ideal; Parity binomial edge ideal; d-sequences; Almost complete intersection; COHEN-MACAULAY; ORTHOGONAL REPRESENTATIONS; ASYMPTOTIC-BEHAVIOR; SEQUENCES;

D O I：

10.1007/s10801-022-01163-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we provide exact formulas for the regularity of powers of an almost complete intersection ideal I which is generated by a homogeneous d-sequence. As applications, when I is an almost complete intersection, taking the form of a (parity) binomial edge ideal of a connected graph, we can describe explicitly reg(I-t) for t >= 2. The only exception is when I is the parity binomial edge ideal of a graph which is obtained by adding an edge between two disjoint odd cycles.

引用

下载

页码：75 / 100

页数：26

共 50 条

[1] Regularity of powers of (parity) binomial edge ideals
Yi-Huang Shen
Guangjun Zhu
Journal of Algebraic Combinatorics, 2023, 57 : 75 - 100
[2] REGULARITY OF PARITY BINOMIAL EDGE IDEALS
Kumar, Arvind
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (07) : 2727 - 2737
[3] Regularity of powers of d-sequence (parity) binomial edge ideals of unicycle graphs
Amalore Nambi, Marie
Kumar, Neeraj
COMMUNICATIONS IN ALGEBRA, 2024, 52 (06) : 2598 - 2615
[4] Regularity of Powers of Binomial Edge Ideals of Complete Multipartite Graphs
Wang, Hong
Tang, Zhongming
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023, 73 (03) : 793 - 810
[5] Regularity of powers of binomial edge ideals of complete multipartite graphs
Hong Wang
Zhongming Tang
Czechoslovak Mathematical Journal, 2023, 73 : 793 - 810
[6] Comparison of symbolic and ordinary powers of parity binomial edge ideals
Taghipour, Nadia
Bayati, Shamila
Rahmati, Farhad
MONATSHEFTE FUR MATHEMATIK, 2024, 203 (03): : 695 - 710
[7] Comparison of symbolic and ordinary powers of parity binomial edge ideals
Nadia Taghipour
Shamila Bayati
Farhad Rahmati
Monatshefte für Mathematik, 2024, 203 : 695 - 710
[8] On the regularity of binomial edge ideals
Ene, Viviana
Zarojanu, Andrei
MATHEMATISCHE NACHRICHTEN, 2015, 288 (01) : 19 - 24
[9] Regularity of Initial Ideal of Binomial Edge Ideals in Degree 2 and Their Powers
Rahim, Bakhtyar Mahmood
Saremi, Hero
Hama, Mudhafar Fattah
CONTEMPORARY MATHEMATICS, 2024, 5 (02): : 2246 - 2254
[10] Parity binomial edge ideals
Kahle, Thomas
Sarmiento, Camilo
Windisch, Tobias
JOURNAL OF ALGEBRAIC COMBINATORICS, 2016, 44 (01) : 99 - 117

← 1 2 3 4 5 →