论文标题
图形喷气机的主要组成部分
The Principal Component of the Jets of a Graph
论文作者
论文摘要
我们定义了图的喷气机的S级主体成分，并根据基本图的最小顶点覆盖物对其边缘理想的主要分解进行了描述。作为一个应用程序，我们显示了COCHORDAL图的Jets的S级主体成分是COCHORDAL，并将其连接到Froberg的定理，以实现COCHORDAL图的边缘理想的线性分辨率。提供了一个附录，以描述计算机代数系统MacAulay2中的一些喷气机的计算。
We define the s-order principal component of the jets of a graph and give a description of the primary decomposition of its edge ideal in terms of the minimal vertex covers of the base graph. As an application, we show the s-order principal component of the jets of a cochordal graph is cochordal, and connect this to Froberg's theorem on the linear resolution of edge ideals of cochordal graphs. An appendix is provided describing some computations of jets in the computer algebra system Macaulay2.
