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Matematicheskie Zametki, 2017, Volume 102, Issue 4, Pages 579–585
DOI: https://doi.org/10.4213/mzm11398 (Mi mzm11398) 		 
This article is cited in 5 scientific papers (total 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
Full-text PDF (432 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm11398
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.
Received: 02.10.2016
Revised: 20.10.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 4, Pages 541–546
DOI: https://doi.org/10.1134/S0001434617090267
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
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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  • https://www.mathnet.ru/eng/mzm/v102/i4/p579
    • This publication is cited in the following 5 articles:
    1. R. I. Prosanov, “Counterexamples to Borsuk's Conjecture with Large Girth”, Math. Notes, 105:6 (2019), 874–880  mathnet  crossref  crossref  mathscinet  isi  elib
    2. 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  mathnet  crossref  crossref  mathscinet  isi  elib
    3. A. A. Sagdeev, A. M. Raigorodskii, “On a Frankl-Wilson theorem and its geometric corollaries”, Acta Math. Univ. Comen., 88:3 (2019), 1029–1033  mathscinet  isi
    4. A. Sagdeev, “On the Frankl–Rödl theorem”, Izv. Math., 82:6 (2018), 1196–1224  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    5. R. I. Prosanov, “Upper Bounds for the Chromatic Numbers of Euclidean Spaces with Forbidden Ramsey Sets”, Math. Notes, 103:2 (2018), 243–250  mathnet  mathnet  crossref  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Full-text PDF :114
    References:56
    First page:14
     
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