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arxiv: 1310.2903 · v1 · pith:4737US3Tnew · submitted 2013-10-10 · 🧮 math.AC · math.CO

Extremal Betti numbers of some classes of binomial edge ideals

classification 🧮 math.AC math.CO
keywords bettibinomialedgeextremalidealbipartiteclassescomplete
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Let $G$ be a cycle or a complete bipartite graph. We show that the binomial edge ideal $J_{G}$ and its initial ideal with respect to the lexicographic order have the same extremal Betti number.

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