The regularity of powers of edge ideals

被引：61

作者：

Banerjee, Arindam ^{[1
]}

机构：

[1] Univ Virginia, Dept Math, Charlottesville, VA 22903 USA

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2015年 / 41卷 / 02期

关键词：

Castelnuovo-Mumford regularity; Powers of edge ideals; Cricket free; MONOMIAL IDEALS; RESOLUTIONS;

D O I：

10.1007/s10801-014-0537-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the existence of a special order on the set of minimal monomial generators of powers of edge ideals of arbitrary graphs. Using this order, we find new upper bounds on the regularity of powers of edge ideals of graphs whose complement does not have any induced four cycles.

引用

页码：303 / 321

页数：19

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