On the Betti numbers of some classes of binomial edge ideals

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Abstract

We study the Betti numbers of binomial edge ideal associated to some classes of graphs with large Castelnuovo-Mumford regularity. As an application we give several lower bounds of the Castelnuovo-Mumford regularity of arbitrary graphs depending on induced subgraphs.

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Zafar, S., & Zahid, Z. (2013). On the Betti numbers of some classes of binomial edge ideals. Electronic Journal of Combinatorics, 20(4). https://doi.org/10.37236/3689

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