论文标题

特殊图的边缘环的$ h $ - 向量

The $h$-vectors of the edge rings of a special family of graphs

论文作者

Higashitani, Akihiro, Deepthi, Nayana Shibu

论文摘要

同质环的$ h $ - 向量是通常反映环理论属性的最重要的不变性之一。另一方面,很少有$ h $ - 向量明确计算的图形环的示例。在本文中,我们通过使用初始理想的技术和相关的简单复合物来计算特殊图形的$ h $ - 向量。

The $h$-vectors of homogeneous rings are one of the most important invariants that often reflect ring-theoretic properties. On the other hand, there are few examples of edge rings of graphs whose $h$-vectors are explicitly computed. In this paper, we compute the $h$-vector of a special family of graphs, by using the technique of initial ideals and the associated simplicial complex.

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