论文标题
涵盖图和koszul属性的符号能力
Symbolic Powers of Cover Ideals of Graphs and Koszul Property
论文作者
论文摘要
我们表明,将晶须(或吊坠)连接到图形盖的顶点,从而产生具有以下属性的新图形:其覆盖层的所有符号功率理想的所有符号功率都是Koszul或等效地,componentwise linarear。这扩展了先前的工作,其中将晶须添加到所有顶点或图形盖的顶点。
We show that attaching a whisker (or a pendant) at the vertices of a cycle cover of a graph results in a new graph with the following property: all symbolic powers of its cover ideal are Koszul or, equivalently, componentwise linear. This extends previous work where the whiskers were added to all vertices or to the vertices of a vertex cover of the graph.