Geodesic
Chromatic number with several forbidden distances in the space with the ~$\ell_q$-metric
Contemporary Mathematics and Its Applications, Tome 100 (2016), pp. 12-18.

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We study the chromatic number $\overline\chi(X; \rho; k)$ of a metric space $X$ with a metric $\rho$ and $k$ forbidden distances. We obtain an estimate of the form $\overline\chi({R}^n; \rho; k) \geq (Bk)^{Cn}$ for cases where the metric $\rho$ on the set $\mathbb{R}^n$ is generated by the $\ell_q$-norm. 
@article{CMA_2016_100_a1,
     author = {A. V. Berdnikov},
     title = {Chromatic number with several forbidden distances in the space with the ~$\ell_q$-metric},
     journal = {Contemporary Mathematics and Its Applications},
     pages = {12--18},
     publisher = {mathdoc},
     volume = {100},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMA_2016_100_a1/}
}
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A. V. Berdnikov. Chromatic number with several forbidden distances in the space with the ~$\ell_q$-metric. Contemporary Mathematics and Its Applications, Tome 100 (2016), pp. 12-18. http://geodesic.mathdoc.fr/item/CMA_2016_100_a1/