De Bruijn–Erdős Reduction to Finite Sets and Results Near the Lower Bound

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

Chapter Chapter 5 in The New Mathematical Coloring Book, 2024, pp 45-48 from Springer

Abstract: Abstract We can expand the notion of the chromatic number to any subset S of the plane. The chromatic number χ(S) of S is the smallest number of colors sufficient for coloring the points of S in such a way that forbids monochromatic unit segments.

Date: 2024
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DOI: 10.1007/978-1-0716-3597-1_5

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