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

Gu, Yan, Hà, Huy Tài, Skelton, Joseph W.

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.

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