A matroid is Gorenstein if its toric variety is. Hibi, Lasoń, Matsuda, Michałek, and Vodička provided a full graph-theoretic classification of Gorenstein matroids associated to simple graphs. We extend this classification to multigraphs.

中文翻译：

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多重图的Gorenstein图形拟阵

如果拟立人的复曲面是类人动物，则它是Gorenstein。Hibi，Lasoń，Matsuda，Michałek和Vodička提供了与简单图相关的Gorenstein拟阵的完整图论分类。我们将此分类扩展到多图。