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arXiv · 2207.06021

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

Akihiro Higashitani·Nayana Shibu Deepthi
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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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Akihiro Higashitani, Nayana Shibu Deepthi. 2022-07-13. The $h$-vectors of the edge rings of a special family of graphs. https://arxiv.org/abs/2207.06021

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