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We study the chromatic number χ¯Xρk$$ \overline{\chi}\left(X;\rho; k\right) $$ of a metric space X with a metric ρ and k forbidden distances. We obtain an estimate of the form χ¯ℝnρk≥BkCn$$… Click to show full abstract
We study the chromatic number χ¯Xρk$$ \overline{\chi}\left(X;\rho; k\right) $$ of a metric space X with a metric ρ and k forbidden distances. We obtain an estimate of the form χ¯ℝnρk≥BkCn$$ \overline{\chi}\left({\mathbb{R}}^n;\rho; k\right)\ge {(Bk)}^{Cn} $$ for cases where the metric ρ on the set ℝn is generated by the ℓq-norm.
Keywords:
forbidden distances;
space metric;
chromatic number;
number several
Journal Title: Journal of Mathematical Sciences
Year Published: 2017
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Journal Title: Journal of Mathematical Sciences
Year Published: 2017
Link to full text (if available)
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recommendations!