Depth of powers of binomial edge ideals of complete bipartite graphs

被引：0

作者：

Wang, Hong ^{[1
]}

Tang, Zhongming ^{[1
,2
]}

机构：

[1] Soochow Suzhou Univ, Dept Math, Suzhou, Peoples R China

[2] Soochow Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 06期

关键词：

Binomial edge ideal; bipartite graph; depth;

D O I：

10.1080/00927872.2022.2164009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G = K-m,K-n-m be a complete bipartite graph on [n] with n - m & GE; m and J(G) its binomial edge ideal in the polynomial ring S = K[x(1), . . . , x(n), y(1), . . . , y(n)] over a field K. For any t & GE; 2, it is proved that depth(S/J(G)(t)) is equal to n + 1 if m = 1 and 4 if m & GE; 2.

引用

页码：2472 / 2483

页数：12

共 50 条

[1] Binomial edge ideals of bipartite graphs
Bolognini, Davide
Macchia, Antonio
Strazzanti, Francesco
EUROPEAN JOURNAL OF COMBINATORICS, 2018, 70 : 1 - 25
[2] Regularity of Powers of Binomial Edge Ideals of Complete Multipartite Graphs
Wang, Hong
Tang, Zhongming
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023, 73 (03) : 793 - 810
[3] Regularity of powers of binomial edge ideals of complete multipartite graphs
Hong Wang
Zhongming Tang
Czechoslovak Mathematical Journal, 2023, 73 : 793 - 810
[4] Generalized binomial edge ideals of bipartite graphs
Shen, Yi-Huang
Zhu, Guangjun
JOURNAL OF ALGEBRA, 2025, 662 : 167 - 213
[5] On the depth of binomial edge ideals of graphs
M. Rouzbahani Malayeri
S. Saeedi Madani
D. Kiani
Journal of Algebraic Combinatorics, 2022, 55 : 827 - 846
[6] On the depth of binomial edge ideals of graphs
Malayeri, M. Rouzbahani
Madani, S. Saeedi
Kiani, D.
JOURNAL OF ALGEBRAIC COMBINATORICS, 2022, 55 (03) : 827 - 846
[7] Powers of generalized binomial edge ideals of path graphs
Shen, Yi-Huang
Zhu, Guangjun
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2024, 34 (05) : 779 - 806
[8] BINOMIAL EDGE IDEALS OF COMPLETE MULTIPARTITE GRAPHS
Ohtani, Masahiro
COMMUNICATIONS IN ALGEBRA, 2013, 41 (10) : 3858 - 3867
[9] POWERS OF EDGE IDEALS OF REGULARITY THREE BIPARTITE GRAPHS
Alilooee, Ali
Banerjee, Arindam
JOURNAL OF COMMUTATIVE ALGEBRA, 2017, 9 (04) : 441 - 454
[10] ON THE DEPTH OF SYMBOLIC POWERS OF EDGE IDEALS OF GRAPHS
Fakhari, S. A. S.
NAGOYA MATHEMATICAL JOURNAL, 2022, 245 : 28 - 40

← 1 2 3 4 5 →