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

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