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Revista de la Unión Matemática Argentina
Article . 2022 . Peer-reviewed
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Preprint . 2019
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Article . 2022
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https://dx.doi.org/10.48550/ar...
Article . 2019
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Binomial edge ideals of cographs

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 17 Aug 2022Embargo end date: 01 Jan 2019Publisher:Union Matematica ArgentinaJournal:Revista de la Unión Matemática Argentina (issn: 1669-9637, Copyright policy )
Authors: Kahle, Thomas; Krüsemann, Jonas;

doi: 10.33044/revuma.2247 , 10.48550/arxiv.1906.05510

arXiv: 1906.05510

Binomial edge ideals of cographs

Abstract

We determine the Castelnuovo-Mumford regularity of binomial edge ideals of complement reducible graphs (cographs). For cographs with $n$ vertices the maximum regularity grows as $2n/3$. We also bound the regularity by graph theoretic invariants and construct a family of counterexamples to a conjecture of Hibi and Matsuda.

11 pages, 2 figures. v2: Final version as in Revista de la Uni\'on Matem\'atica Argentina

Keywords

binomial edge ideal, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Syzygies, resolutions, complexes and commutative rings, Graphs and abstract algebra (groups, rings, fields, etc.), undirected graph, Computational homological algebra, 05E40 (Primary), 13D02, 05C99, 13P20 (Secondary), FOS: Mathematics, Mathematics - Combinatorics, Betti numbers, Combinatorics (math.CO), Combinatorial aspects of commutative algebra, 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!
2
Average
Average
Average
Green
gold