Coloring Some Finite Sets in ℝn

This note relates to bounds on the chromatic number χ(ℝn) of the Euclidean space, which is the minimum number of colors needed to color all the points in ℝn so that any two points at the distance 1 receive different colors. In [6] a sequence of graphs Gn in ℝn was introduced showing that . For many...

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Bibliographic Details
Main Authors: Balogh József, Kostochka Alexandr, Raigorodskii Andrei
Format: Article
Language:English
Published: Sciendo 2013-03-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1641