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A survey of 𝜒‐boundedness

Abstract:
If 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.
Publication status:
Published
Peer review status:
Peer reviewed

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Files:
Publisher copy:
10.1002/jgt.22601

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0003-4489-5988



Publisher:
Wiley
Journal:
Journal of Graph Theory More from this journal
Volume:
95
Issue:
3
Pages:
479-504
Publication date:
2020-08-24
Acceptance date:
2020-05-28
DOI:
EISSN:
1097-0118
ISSN:
0364-9024


Language:
English
Keywords:
Pubs id:
1130790
Local pid:
pubs:1130790
Deposit date:
2020-09-06

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