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This article is cited in 3 scientific papers (total in 3 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.
DOI:
https://doi.org/10.4213/mzm11398
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English version:
Mathematical Notes, 2017, 102:4, 541–546
Bibliographic databases:
UDC:
517 Received: 02.10.2016 Revised: 20.10.2016
Citation:
A. Sagdeev, “The Chromatic Number of Space with Forbidden Regular Simplex”, Mat. Zametki, 102:4 (2017), 579–585; Math. Notes, 102:4 (2017), 541–546
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/mz11398https://doi.org/10.4213/mzm11398 http://mi.mathnet.ru/eng/mz/v102/i4/p579
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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A. Sagdeev, “On the Frankl–Rödl theorem”, Izv. Math., 82:6 (2018), 1196–1224
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R. I. Prosanov, “Counterexamples to Borsuk's Conjecture with Large Girth”, Math. Notes, 105:6 (2019), 874–880
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Yu. A. Demidovich, “Distance Graphs with Large Chromatic Number and without Cliques of Given Size in the Rational Space”, Math. Notes, 106:1 (2019), 38–51
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