The regularity of powers of edge ideals

被引：1
|
作者：
Arindam Banerjee
机构：
[1] University of Virginia,Department of Mathematics
来源：
Journal of Algebraic Combinatorics | 2015年 / 41卷
关键词：
Castelnuovo–Mumford regularity; Powers of edge ideals; Cricket free; Primary 13-02; 13F55; 05C10;
D O I：
暂无
中图分类号：
学科分类号：
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.
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收藏
页码：303 / 321
页数：18
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