Mathematics > Combinatorics
[Submitted on 18 Dec 2018 (v1), last revised 25 May 2020 (this version, v3)]
Title:A survey of $χ$-boundedness
View PDFAbstract: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 1980's, 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.
Submission history
From: Alexander Scott [view email][v1] Tue, 18 Dec 2018 17:23:29 UTC (34 KB)
[v2] Sun, 23 Dec 2018 18:15:55 UTC (34 KB)
[v3] Mon, 25 May 2020 07:13:45 UTC (36 KB)
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