On the extremal Betti numbers of the binomial edge ideal of closed graphs
Abstract
We study the equality of the extremal Betti numbers of the binomial edge ideal JG and those of its initial ideal in(JG) of a closed graph G. We prove that in some cases there is an unique extremal Betti number for in(JG) and as a consequence there is an unique extremal Betti number for JG and these extremal Betti numbers are equal
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