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Extremal Betti numbers of some Cohen-Macaulay binomial edge ideals

Published 10 Sep 2018 in math.AC | (1809.03423v1)

Abstract: 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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