On the Gorenstein property of the Ehrhart ring of the stable set polytope of an h-perfect graph
| Autor: | Miyazaki, Mitsuhiro |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: Added an example, which shows that the symbolic powers of the canonical ideal of the Ehrhart ring of HSTAB(G) of a graph G is not equal to the ordinary power in general |
| Databáze: | arXiv |
| Externí odkaz: |
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