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Revisiting a theorem by Folkman on graph colouring

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arxiv 1907.11429 v2 pith:RA52SFH5 submitted 2019-07-26 math.CO

Revisiting a theorem by Folkman on graph colouring

classification math.CO
keywords numberfolkmangraphtheoremchromaticcolouringdifferencefollowing
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We give a short proof of the following theorem due to Jon H. Folkman (1969): The chromatic number of any graph is at most $2$ plus the maximum over all subgraphs of the difference between half the number of vertices and the independence number.

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