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Extremal Betti Numbers of Some Cohen-Macaulay Binomial Edge Ideals
Authors:Carla Mascia  Giancarlo Rinaldo
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-Poincaré series of the binomial edge ideals of some Cohen-Macaulay bipartite graphs.
Keywords:binomial edge ideal  Cohen-Macaulay type  extremal Betti number
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