ORTHOGONAL COLORINGS OF THE SPHERE

DOI10.1112/S0025579315000303zbMath1337.05041arXiv1505.02514OpenAlexW3099951616MaRDI QIDQ2810736

Seunghun Lee, Andreas F. Holmsen

Publication date: 6 June 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02514

zbMATH Keywords

regular octahedron

Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15) Erd?s problems and related topics of discrete geometry (52C10) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Cites Work

• On the chromatic numbers of spheres in \(\mathbb R^n\)
• Axiom of choice and chromatic number: Examples on the plane
• Projective colorings
• The realization of distances in measurable subsets covering \(R^ n\).
• Axiom of choice and chromatic number of the plane
• Distances realized by sets covering the plane
• Coloring Distance Graphs and Graphs of Diameters
• The Mathematical Coloring Book
• Two simple proofs of the Kochen-Specker theorem

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