
arXiv: 1711.03193
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.
Distance in graphs, Metric Geometry (math.MG), geometric covering, Coloring of graphs and hypergraphs, Mathematics - Metric Geometry, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), chromatic number, FOS: Mathematics, info:eu-repo/classification/udc/51, Mathematics - Combinatorics, Combinatorics (math.CO)
Distance in graphs, Metric Geometry (math.MG), geometric covering, Coloring of graphs and hypergraphs, Mathematics - Metric Geometry, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), chromatic number, FOS: Mathematics, info:eu-repo/classification/udc/51, Mathematics - Combinatorics, Combinatorics (math.CO)
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