REGULARITY OF PARITY BINOMIAL EDGE IDEALS

被引：2

作者：

Kumar, Arvind ^{[1
,2
]}

机构：

[1] Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, India

[2] Chennai Math Inst, Dept Math, Chennai 603103, Tamil Nadu, India

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 07期

关键词：

Parity binomial edge ideal; Lovasz-Saks-Schrijver(LSS) ideal; binomial edge ideal; Betti number; regularity;

D O I：

10.1090/proc/15434

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a simple graph on n vertices and I-G denotes parity binomial edge ideal of G in the polynomial ring S =K[x(1), ..., x(n), y(1), ..., y(n)]. We obtain lower bound for the regularity of parity binomial edge ideals of graphs. We then classify all graphs whose parity binomial edge ideals have regularity 3. We classify graphs whose parity binomial edge ideals have pure resolution.

引用

页码：2727 / 2737

页数：11

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