# A survey of χ ‐boundedness

@article{Scott2020ASO,
title={A survey of
$\chi$ ‐boundedness},
author={Alex D. Scott and Paul D. Seymour},
journal={Journal of Graph Theory},
year={2020},
volume={95},
pages={473 - 504}
}
• Published 24 August 2020
• Mathematics
• Journal of Graph Theory
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.
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