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arXiv · 1708.00844

On the extremal Betti numbers of the binomial edge ideal of closed graphs

Hernán de Alba·Do Trong Hoang
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Abstract

We study the equality of the extremal Betti numbers of the binomial edge ideal $J_G$ and those of its initial ideal ${\rm in}(J_G)$ of a closed graph $G$. We prove that in some cases there is an unique extremal Betti number for ${\rm in}(J_G)$ and as a consequence there is an unique extremal Betti number for $J_G$ and these extremal Betti numbers are equal

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Hernán de Alba, Do Trong Hoang. 2017-08-02. On the extremal Betti numbers of the binomial edge ideal of closed graphs. https://arxiv.org/abs/1708.00844

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