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The size of Betti tables of edge ideals arising from bipartite graphs
Published 8 Mar 2021 in math.AC and math.CO | (2103.04766v1)
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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