POWERS OF EDGE IDEALS OF REGULARITY THREE BIPARTITE GRAPHS

被引：29

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

共 16 条

[1] Banerjee A., 2014, ARXIV14060456V1MATHA
[2] Berlekamp D, 2012, MATH RES LETT, V19, P109
[3] Beyarslan S., 2014, ARXIV14090277MATHAC
[4] Chardin M., LECT NOTES PURE APPL, V254, P1
[5] Chardin M., 2007, LECT NOTES PURE APPL, V254, P1
[6] Powers of ideals and the cohomology of stalks and fibers of morphisms
Chardin, Marc
[J]. ALGEBRA & NUMBER THEORY, 2013, 7 (01) : 1 - 18
[7] Asymptotic behaviour of the Castelnuovo-Mumford regularity
Cutkosky, SD
Herzog, J
Trung, NV
[J]. COMPOSITIO MATHEMATICA, 1999, 118 (03) : 243 - 261
[8] Regularity 3 in edge ideals associated to bipartite graphs
Fernandez-Ramos, Oscar
Gimenez, Philippe
[J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2014, 39 (04) : 919 - 937
[9] POWERS OF EDGE IDEALS
Ferro, Carmela
Murgia, Mariella
Olteanu, Oana
[J]. MATEMATICHE, 2012, 67 (01): : 129 - 144
[10] FROBERG R, 1990, TOPICS ALGEBRA

← 1 2 →