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A survey of χ‐boundedness

A survey of \(\chi\)-boundedness
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 24 Aug 2020Embargo end date: 01 Jan 2018 English Publisher:WileyJournal:Journal of Graph Theory, volume 95, pages 473-504 (issn: 0364-9024, eissn: 1097-0118, Copyright policy )Funded by:NSF | Induced Subgraphs and Col..., NSF | Collaborative Research: c...
Authors: Alex Scott; Paul Seymour;

doi: 10.1002/jgt.22601 , 10.48550/arxiv.1812.07500

arXiv: 1812.07500

A survey of χ‐boundedness

Abstract

AbstractIf a graph has bounded clique number and sufficiently large chromatic number, what can we say about its induced subgraphs? András Gyárfás made a number of challenging conjectures about this in the early 1980s, which have remained open until recently; but in the last few years there has been substantial progress. This is a survey of where we are now.

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Keywords

colouring, Coloring of graphs and hypergraphs, \(\chi\)-boundedness, 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!
108
Top 1%
Top 1%
Top 1%
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