On the extremal Betti numbers of the binomial edge ideal of closed graphs

Hernán de Alba and Do Trong Hoang

Mathematische Nachrichten, 2018, vol. 291, issue 1, 28-40

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

Date: 2018
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