Regularity of Initial Ideal of Binomial Edge Ideals in Degree 2 and Their Powers

被引：0

作者：

Rahim, Bakhtyar Mahmood ^{[1
]}

Saremi, Hero ^{[2
]}

Hama, Mudhafar Fattah ^{[3
]}

机构：

[1] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani, Iraq

[2] Islamic Azad Univ, Dept Math, Sanandaj Branch, Sanandaj, Iran

[3] Univ Sulaimani, Coll Sci, Dept Math, Sulaimani, Iraq

来源：

CONTEMPORARY MATHEMATICS | 2024年 / 5卷 / 02期

关键词：

Keywords : edge ideals; binomial edge ideals; Castelnuovo-Mumford regularity; polynomials ring; ASYMPTOTIC-BEHAVIOR;

D O I：

10.37256/cm.5220243191

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Castelnuovo-Mumford regularity of the initial ideal of binomial edge ideals in degree 2 ( [ in(<) ( J(G) )](2) ) , and their powers for some classes of graphs. Also, we obtain a lower bound for the regularity of powers of binomial edge ideal associated to complete bipartite graphs.

引用

页码：2246 / 2254

页数：9

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