O’Donnell Earns His Doctorate

Alexander Soifer
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Alexander Soifer: University of Colorado at Colorado Springs, College of Letters, Arts, and Sciences

Chapter Chapter 47 in The New Mathematical Coloring Book, 2024, pp 641-642 from Springer

Abstract: Abstract I agree with Ron Graham, Paul O’Donnell proved sensational results, showing that there are unit distance 4-chromatic graphs of girth 9, girth 12, and even of an arbitrarily high girth. These results did give some evidence that, perhaps, the search for a 5-chromatic unit-distance graph may celebrate its victory one day – this is the result O’Donnell was ultimately after but had not succeeded, no one had until 2018 (later about it).

Date: 2024
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DOI: 10.1007/978-1-0716-3597-1_47

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