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

Akihiro Higashitani; Nayana Shibu Deepthi

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arxiv 2207.06021 v1 pith:JDGSZPQ4 submitted 2022-07-13 math.AC math.CO

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

Akihiro Higashitani , Nayana Shibu Deepthi This is my paper

classification math.AC math.CO

keywords graphsringsvectorsedgefamilyspecialassociatedcomplex

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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.

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

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