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Preprint . 2021
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zbMATH Open
Article . 2021
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Involve a Journal of Mathematics
Article . 2021 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2021
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Jet graphs

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 31 Dec 2021Embargo end date: 01 Jan 2021 English Publisher:Mathematical Sciences PublishersJournal:Involve, a Journal of Mathematics, volume 14, pages 793-812 (issn: 1944-4176, eissn: 1944-4184, Copyright policy )
Authors: Galetto, Federico; Helmick, Elisabeth; Walsh, Molly;

doi: 10.2140/involve.2021.14.793 , 10.48550/arxiv.2104.08933

arXiv: 2104.08933

Abstract

We define an operation of jets on graphs inspired by the corresponding notion in commutative algebra and algebraic geometry. We examine a few graph theoretic properties and invariants of this construction, including chromatic numbers, co-chordality, and vertex covers.

fixed some typos, cleaned up notations, figures, and examples

Related Organizations
Keywords

jets, graphs, square-free monomial ideals, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Graph operations (line graphs, products, etc.), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Graphs and abstract algebra (groups, rings, fields, etc.), 13F55, 05E40, 05C25, 05C69, 05C76, Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Combinatorial aspects of commutative algebra

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    popularity
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    influence
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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