论文标题

完美匹配的子图层的曲折环

Toric rings of perfectly matchable subgraph polytopes

论文作者

Mori, Kenta

论文摘要

图形的完全可匹配的子图多主层是与图中的顶点匹配点关联的(0,1) - 多层。在本文中,我们研究了完全匹配的亚仪表层曲面环的代数特性(压缩性,gorensteinness)。特别是,我们给出了一个图形的完整表征,该图被压缩完美匹配的子图层。

The perfectly matchable subgraph polytope of a graph is a (0,1)-polytope associated with the vertex sets of matchings in the graph. In this paper, we study algebraic properties (compressedness, Gorensteinness) of the toric rings of perfectly matchable subgraph polytopes. In particular, we give a complete characterization of a graph whose perfectly matchable subgraph polytope is compressed.

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