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arxiv: 1809.03423 · v1 · pith:DEMVQ4MTnew · submitted 2018-09-10 · 🧮 math.AC

Extremal Betti numbers of some Cohen-Macaulay binomial edge ideals

classification 🧮 math.AC
keywords cohen-macaulaybinomialedgeidealssomebettibipartiteextremal
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We provide the regularity and the Cohen-Macaulay type of binomial edge ideals of Cohen-Macaulay cones, and we show the extremal Betti numbers of some classes of Cohen-Macaulay binomial edge ideals: Cohen-Macaulay bipartite and fan graphs. In addition, we compute the Hilbert-Poincar\'e series of the binomial edge ideals of some Cohen-Macaulay bipartite graphs.

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