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arXiv · 2103.04766

The size of Betti tables of edge ideals arising from bipartite graphs

Nursel Erey·Takayuki Hibi
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Abstract

Let $\operatorname{pd}(I(G))$ and $\operatorname{reg}(I(G))$ respectively denote the projective dimension and the regularity of the edge ideal $I(G)$ of a graph $G$. For any positive integer $n$, we determine all pairs $(\operatorname{pd}(I(G)),\, \operatorname{reg}(I(G)))$ as $G$ ranges over all connected bipartite graphs on $n$ vertices.

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Nursel Erey, Takayuki Hibi. 2021-03-08. The size of Betti tables of edge ideals arising from bipartite graphs. https://doi.org/10.1090/proc/16119

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