The chromatic number of space with forbidden regular simplex

Authors: Sagdeev A.A.¹^,2
Affiliations:
1. Lomonosov Moscow State University
2. Moscow Institute of Physics and Technology (State University)
Issue: Vol 102, No 3-4 (2017)
Pages: 541-546
Section: Article
URL: https://journal-vniispk.ru/0001-4346/article/view/150180
DOI: https://doi.org/10.1134/S0001434617090267
ID: 150180

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An explicit exponentially growing lower bound for the chromatic number of Euclidean space with forbidden regular simplex is constructed.

chromatic number, distance graph, Euclidean Ramsey theory

Lomonosov Moscow State University; Moscow Institute of Physics and Technology (State University)

Author for correspondence.
Email: xp1@protonmail.com
Russian Federation, Moscow; Dolgoprudnyi, Moscow Oblast

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