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
收藏
页码：2472 / 2483
页数：12
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