Binomial edge ideals of graphs

被引：0

作者：

Madani, Sara Saeedi ^{[1
]}

Kiani, Dariush ^{[1
,2
]}

机构：

[1] Amirkabir Univ Technol, Tehran Polytech, Fac Math & Comp Sci, Dept Pure Math, Tehran 15914, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2012年 / 19卷 / 02期

关键词：

Binomial edge ideals; Linear resolutions; Castelnuovo-Mumford regularity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize all graphs whose binomial edge ideals have a linear resolution. Indeed, we show that complete graphs are the only graphs with this property. We also compute some graded components of the first Betti number of the binomial edge ideal of a graph with respect to the graphical terms. Finally, we give an upper bound for the Castelnuovo-Mumford regularity of the binomial edge ideal of a closed graph.

引用

页数：6

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