Chromatic Number with Several Forbidden Distances in the Space with the ℓq-Metric
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DOI: 10.1007/s10958-017-3592-0
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… read more here.
Keywords: forbidden distances; space metric; chromatic number; number several ... See more keywords