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Discrete Mathematics
Article
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arXiv.org e-Print Archive
Preprint . 2014
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Discrete Mathematics
Article . 2015 . Peer-reviewed
License: Elsevier Non-Commercial
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https://dx.doi.org/10.48550/ar...
Article . 2014
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DBLP
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A unified proof of Brooks’ theorem and Catlin’s theorem

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2015Embargo end date: 01 Jan 2014 English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 338, pages 272-273 (issn: 0012-365X, Copyright policy )
Authors: Vaidy Sivaraman;

doi: 10.1016/j.disc.2014.10.005 , 10.48550/arxiv.1402.6298

arXiv: 1402.6298

A unified proof of Brooks’ theorem and Catlin’s theorem

Abstract

We give a new proof of Brooks' theorem that immediately implies a strengthening of Brooks' theorem, known as Catlin's theorem.

Proof rewritten based on referee's report

Related Organizations
Keywords

05C15, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)

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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!
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