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

2022/07/13 by Akihiro Higashitani, Higashitani, Akihiro, Nayana Shibu Deepthi +1 · 1 citation
Computer Science · Mathematics · #Commutative Algebra and Its Applications #Rings, Modules, and Algebras #Topological and Geometric Data Analysis #math.AC #math.CO #msc:05E40 #msc:13P10

paper · pdf · doi:10.48550/arxiv.2207.06021

arxiv created 2022/07/13 · arxiv updated 2022/07/14

Abstract

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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