On the chromatic number for a set of metric spaces

DOI10.1134/S0001434612030091zbMath1282.05044MaRDI QIDQ2435955

I. M. Mitricheva

Publication date: 21 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

graphconvex optimizationEuclidean spacechromatic numberLagrange functionKarush-Kuhn-Tucker theoremmetric space with a forbidden distance

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Coloring of graphs and hypergraphs (05C15)

Cites Work

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• Distance graph on \(\mathbb Z^n\) with \(\ell_{1}\) norm
• Intersection theorems with geometric consequences
• Borsuk's problem and the chromatic numbers of some metric spaces
• On the chromatic number of a space
• The realization of distances within sets in Euclidean space

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