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Let G be a simple graph on the vertex set [n] and let be the corresponding binomial edge ideal. Let be the cone of v on H. In this article, we compute all the Betti numbers of in terms of the Betti numbers of and as a consequence, we get the Betti diagram of wheel graph. Also, we study Cohen–Macaulay defect of in terms of Cohen–Macaulay defect of and using this we construct...
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