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Electronic Journal of Combinatorics
Article . 2013 . Peer-reviewed
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Article . 2013
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https://dx.doi.org/10.48550/ar...
Article . 2013
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Article . 2013
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On the Betti Numbers of some Classes of Binomial Edge Ideals

On the Betti numbers of some classes of binomial edge ideals
Authors: Sohail Zafar; Zohaib Zahid;

On the Betti Numbers of some Classes of Binomial Edge Ideals

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.

Keywords

FOS: Mathematics, Homological functors on modules (Tor, Ext, etc.) in associative algebras, binomial edge ideal, 05E40, 16E30, Betti numbers, Combinatorial aspects of commutative algebra, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Castelnuovo-Mumford regularity

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
18
Top 10%
Top 10%
Average
Green
gold