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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2017 Volume 102, Issue 4, Pages 579–585 (Mi mzm11398)
This article is cited in 5 papers

The Chromatic Number of Space with Forbidden Regular Simplex

A. Sagdeevab

a Lomonosov Moscow State University
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Abstract: 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.

UDC: 517

Received: 02.10.2016
Revised: 20.10.2016

DOI: 10.4213/mzm11398


 English version: Mathematical Notes, 2017, 102:4, 541–546

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© Steklov Math. Inst. of RAS, 2024