论文标题
通过组合不变式的边缘理想的代数不变理想的一些解释
Some interpretations for algebraic invariants of edge ideals of hypergraphs via combinatorial invariants
论文作者
论文摘要
目前的工作涉及表征某些代数不变的超图形理想。为了这个目的，首先，我们引入了类似于超图的匹配数字的某些组合不变性。然后，我们将它们相互比较，并将其与以前存在的相提并论。这些不变性用于表征或界定一些代数不变的超图形，例如分级贝蒂数字，投射维度和Castelnouvo-Mumford的规律性。
The present work is concerned with characterizing some algebraic invariants of edge ideals of hypergraphs. To this aim, firstly, we introduce some kinds of combinatorial invariants similar to matching numbers for hypergraphs. Then we compare them to each other and to previously existing ones. These invariants are used for characterizing or bounding some algebraic invariants of edge ideals of hypergraphs such as graded Betti numbers, projective dimension and Castelnouvo-Mumford regularity.
