标准分次顶点覆盖代数、圈和叶
Standard graded vertex cover algebras, cycles and leaves
摘要：
刻画了具有标准分次顶点覆盖代数的单纯复形。这个性质对于定义这些代数的无平方单项式理想有几个很好的结果。结果表明，这种单纯复形与一系列超图密切相关，这些超图推广了二部图和树。这些关系使我们能够获得非常普遍的结果，标准的分次顶点覆盖代数覆盖以前的主要成果Rees代数的squarefree单项理想。
英文摘要：
The aim of this paper is to characterize simplicial complexes which have standard graded vertex cover algebras. This property has several nice consequences for the squarefree monomial ideals defining these algebras. It turns out that such simplicial complexes are closely related to a range of hypergraphs which generalize bipartite graphs and trees. These relationships allow us to obtain very general results on standard graded vertex cover algebras which cover previous major results on Rees algebras of squarefree monomial ideals.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
