POWERS OF EDGE IDEALS OF REGULARITY THREE BIPARTITE GRAPHS

被引：30

作者：

Alilooee, Ali ^{[1
]}

Banerjee, Arindam ^{[2
]}

机构：

[1] Univ Wisconsin Stout, Dept Math, 712 South Broadway, Menomonie, WI 54751 USA

[2] Purdue Univ, Dept Math, 610 Purdue Mall, W Lafayette, IN 47906 USA

来源：

JOURNAL OF COMMUTATIVE ALGEBRA | 2017年 / 9卷 / 04期

关键词：

Bipartite graphs; Castelnuovo-Mumford regularity; bipartite complement; even-connected vertices;

D O I：

10.1216/JCA-2017-9-4-441

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that, if I (G) is the edge ideal of a connected bipartite graph with regularity 3, then, for all s >= 2, the regularity of I (G)(s) is exactly 2s + 1.

引用

页码：441 / 454

页数：14

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