Extremal Betti Numbers of Some Cohen-Macaulay Binomial Edge Ideals

摘要

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-Poincare series of the binomial edge ideals of some Cohen-Macaulaybipartitegraphs.