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arXiv · 2209.10799

Toric rings arising from vertex cover ideals

Jürgen Herzog·Takayuki Hibi·Somayeh Moradi
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Abstract

We extend the sortability concept to monomial ideals which are not necessarily generated in one degree and as an application we obtain normal Cohen-Macaulay toric rings attached to vertex cover ideals of graphs. Moreover, we consider a construction on a graph called a clique multi-whiskering which always produces vertex cover ideals with componentwise linear powers.

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Jürgen Herzog, Takayuki Hibi, Somayeh Moradi. 2022-09-22. Toric rings arising from vertex cover ideals. https://arxiv.org/abs/2209.10799

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