NONVANISHING OF BETTI NUMBERS OF EDGE IDEALS AND COMPLETE BIPARTITE SUBGRAPHS

被引：10

作者：

Kimura, Kyouko ^{[1
]}

机构：

[1] Shizuoka Univ, Fac Sci, Dept Math, Shizuoka 4228017, Japan

来源：

COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 02期

关键词：

Complete bipartite graphs; Edge ideals; Graded Betti numbers; Lyubeznik resolutions; Projective dimension; MINIMAL FREE RESOLUTIONS; PROJECTIVE DIMENSION; MONOMIAL IDEALS; INDEPENDENCE; REGULARITY; BOUNDS;

D O I：

10.1080/00927872.2014.984840

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a finite simple graph, one can associate the edge ideal. In this article, we prove that a graded Betti number of the edge ideal does not vanish if the original graph contains a set of complete bipartite subgraphs with some conditions. Also we give a combinatorial description for the projective dimension of the edge ideals of unmixed bipartite graphs.

引用

页码：710 / 730

页数：21

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