GRAPHS ON EUCLIDEAN SPACES DEFINED USING TRANSCENDENTAL DISTANCES

DOI10.1112/S0025579311001999zbMath1247.03107MaRDI QIDQ3115483

James H. Schmerl, Péter Komjáth

Publication date: 10 February 2012

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

chromatic numbergraphs on Euclidean spacestranscendental distances

Mathematics Subject Classification ID

Other combinatorial set theory (03E05) Euclidean geometries (general) and generalizations (51M05)

Related Items (1)

Chromatic numbers of algebraic hypergraphs

Cites Work

• Unnamed Item
• The list-chromatic number of infinite graphs defined on Euclidean spaces
• Countable decompositions of \({\mathbb{R}}^2\) and \({\mathbb{R}}^3\)
• Problems and theorems in classical set theory
• Countable partitions of Euclidean space
• On chromatic number of graphs and set-systems
• Measurable sets with excluded distances

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