论文标题
在H-Perfect图的稳定套件的Ehrhart环的Gorenstein特性上
On the Gorenstein property of the Ehrhart ring of the stable set polytope of an h-perfect graph
论文作者
论文摘要
在本文中，我们给出了H-Perfect图的Ehrhart环的Gorenstein属性标准：H-Perfect Graph $ g $的稳定套件的Ehrhart环是Gorenstein的稳定套件是Gorenstein的gorenstein，并且仅当（If（1）Maximal集团的大小时， $ n = 2 $，没有和弦至少7或（c）$ n \ geq 3 $没有奇数周期，没有和弦和长度至少5个。
In this paper, we give a criterion of the Gorenstein property of the Ehrhart ring of the stable set polytope of an h-perfect graph: the Ehrhart ring of the stable set polytope of an h-perfect graph $G$ is Gorenstein if and only if (1) sizes of maximal cliques are constant (say $n$) and (2) (a) $n=1$, (b) $n=2$ and there is no odd cycle without chord and length at least 7 or (c) $n\geq 3$ and there is no odd cycle without chord and length at least 5.
