The size of the Betti table of Binomial Edge Ideals

The size of the Betti table of Binomial Edge Ideals

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

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Veröffentlicht in:arXiv.org 2023-02
Hauptverfasser: Ficarra, Antonino, Sgroi, Emanuele
Format: Artikel
Sprache:eng
Schlagworte:
Apexes
Graph theory
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Zusammenfassung:Let \(G\) be a finite simple graph with \(n\) non isolated vertices, and let \(J_G\) its binomial edge ideal. We determine all pairs \((\mbox{projdim}(J_G),\mbox{reg}(J_G))\), where \(G\) ranges over all finite simple graphs with \(n\) non isolated vertices, for any \(n\).
ISSN:2331-8422