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Matematicheskie Zametki, 2018, Volume 103, Issue 2, Pages 248–257
DOI: https://doi.org/10.4213/mzm11397 (Mi mzm11397) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Upper Bounds for the Chromatic Numbers of Euclidean Spaces with Forbidden Ramsey Sets

R. I. Prosanov

Lomonosov Moscow State University
Full-text PDF (493 kB) Citations (16)
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DOI: https://doi.org/10.4213/mzm11397
Abstract: The chromatic number of a Euclidean space $\mathbb R^n$ with a forbidden finite set $C$ of points is the least number of colors required to color the points of this space so that no monochromatic set is congruent to $C$. New upper bounds for this quantity are found.
Keywords: Euclidean Ramsey theory, chromatic number of space.
Received: 01.10.2016
Revised: 07.02.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 2, Pages 243–250
DOI: https://doi.org/10.1134/S000143461801025X
Bibliographic databases:
Document Type: Article
UDC: 514.17
Language: Russian
Citation: R. I. Prosanov, “Upper Bounds for the Chromatic Numbers of Euclidean Spaces with Forbidden Ramsey Sets”, Mat. Zametki, 103:2 (2018), 248–257; Math. Notes, 103:2 (2018), 243–250
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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