On the chromatic number of \(\mathbb R^4\)

DOI10.1007/s00454-014-9612-7zbMath1302.05051OpenAlexW2091414672MaRDI QIDQ464746

Geoffrey Exoo, Michael K. Lim, Dan P. Ismailescu

Publication date: 29 October 2014

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-014-9612-7

zbMATH Keywords

chromatic numberunit distance graph

Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15) Distance in graphs (05C12)

Related Items (4)

Coloring distance graphs on the plane ⋮ Large cycles in generalized Johnson graphs ⋮ On the chromatic numbers of small-dimensional Euclidean spaces ⋮ A remark on lower bounds for the chromatic numbers of spaces of small dimension with metrics \(\ell_1\) and \(\ell_2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Intersection theorems with geometric consequences
• A 15-colouring of 3-space omitting distance one
• On the space chromatic number
• Finite Euclidean Ramsey theory
• The Mathematical Coloring Book
• An estimate for the chromatic number of the space $ \mathbb R^4$
• New methods to color the vertices of a graph
• On the chromatic number of a space
• The realization of distances within sets in Euclidean space

This page was built for publication: On the chromatic number of \(\mathbb R^4\)