On the betti numbers of some classes of binomial edge ideals

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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
the electronic journal of combinatorics
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.
Description
Keywords
Castelnuovo-Mumford regularity, Betti numbers, Binomial edge ideal
Citation
Zahid, Z., & Zafar, S. (2013). On the Betti numbers of some classes of binomial edge ideals. arXiv preprint arXiv:1310.3981.