Geodesic
The Chromatic Number of Space with Forbidden Regular Simplex
Matematičeskie zametki, Tome 102 (2017) no. 4, pp. 579-585

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An explicit exponentially growing lower bound for the chromatic number of Euclidean space with forbidden regular simplex is constructed .
Keywords: chromatic number, distance graph, Euclidean Ramsey theory. 
@article{MZM_2017_102_4_a9,
     author = {A. Sagdeev},
     title = {The {Chromatic} {Number} of {Space} with {Forbidden} {Regular} {Simplex}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {579--585},
     publisher = {mathdoc},
     volume = {102},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_4_a9/}
}
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A. Sagdeev. The Chromatic Number of Space with Forbidden Regular Simplex. Matematičeskie zametki, Tome 102 (2017) no. 4, pp. 579-585. http://geodesic.mathdoc.fr/item/MZM_2017_102_4_a9/