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arxiv: 1711.03193 · v2 · pith:KM5GX7ORnew · submitted 2017-11-08 · 🧮 math.CO · math.MG

Chromatic numbers of spheres

classification 🧮 math.CO math.MG
keywords chromaticcolorsnumbernumberspointsspheressubsetbounds
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The chromatic number of a subset of Euclidean space is the minimal number of colors sufficient for coloring all points of this subset in such a way that any two points at the distance 1 have different colors. We give new upper bounds for chromatic numbers of spheres.

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