The size of the Betti table of Binomial Edge Ideals

Antonino Ficarra; Emanuele Sgroi

The size of the Betti table of Binomial Edge Ideals

Commutative Algebra 2025-01-15 v2

Authors: Antonino Ficarra , Emanuele Sgroi

Abstract

Let $G$ be a finite simple graph on $n$ non-isolated vertices, and let $J_G$ be its binomial edge ideal. We determine almost all pairs $(\text{projdim}(J_G),\text{reg}(J_G))$ , where $G$ ranges over all finite simple graphs on $n$ non-isolated vertices, for any $n$ .

Keywords

binomial edge ideal betti table projective dimension regularity finite simple graph

Cite

@article{arxiv.2302.03585,
  title  = {The size of the Betti table of Binomial Edge Ideals},
  author = {Antonino Ficarra and Emanuele Sgroi},
  journal= {arXiv preprint arXiv:2302.03585},
  year   = {2025}
}

Comments

This is the final version of the paper, accepted for publication in Journal of Algebra and its Applications, https://doi.org/10.1142/S0218196724500589

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