On the Betti Numbers of some Classes of Binomial Edge Ideals

On the Betti Numbers of some Classes of Binomial Edge Ideals

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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Veröffentlicht in:The Electronic journal of combinatorics 2013-12, Vol.20 (4)
Hauptverfasser: Zafar, Sohail, Zahid, Zohaib
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1077-8926
1077-8926
DOI:10.37236/3689