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A survey of χ-boundedness
Authors:Alex Scott  Paul Seymour
Institution:1. Mathematical Institute, University of Oxford, Oxford, UK;2. Department of Mathematics, Princeton University, Princeton, New Jersey, USA
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.
Keywords:χ-boundedness  colouring
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