论文标题
由顶点覆盖理想产生的曲折环
Toric rings arising from vertex cover ideals
论文作者
论文摘要
我们将可分解性概念扩展到了单一理想,这些理想不一定在一个程度上产生,并且作为应用,我们获得了正常的Cohen-Macaulay旋转环形环,该曲线附着在顶点盖上的图形理想上。此外,我们考虑在一个称为集团多旋风的图上的结构,该图始终会产生带有跨线性力量的顶点覆盖理想。
We extend the sortability concept to monomial ideals which are not necessarily generated in one degree and as an application we obtain normal Cohen-Macaulay toric rings attached to vertex cover ideals of graphs. Moreover, we consider a construction on a graph called a clique multi-whiskering which always produces vertex cover ideals with componentwise linear powers.