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Matematicheskie Zametki, 2015, Volume 97, Issue 2, Pages 255–261
DOI: https://doi.org/10.4213/mzm10383 (Mi mzm10383) 		 
This article is cited in 11 scientific papers (total in 11 papers)

New Lower Bound for the Chromatic Number of a Rational Space with One and Two Forbidden Distances

E. I. Ponomarenkoa, A. M. Raigorodskiiba

a Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moskovskaya obl.
b M. V. Lomonosov Moscow State University
Full-text PDF (473 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm10383
Abstract: A new lower bound for the chromatic number $\chi({\mathbb Q}^n)$ of the space ${\mathbb Q}^n$ is obtained.
Keywords: chromatic number, rational space with forbidden distances, Nelson–Hadwiger problem, independence number of a graph, Stirling's formula.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00683
Ministry of Education and Science of the Russian Federation МД-6277.2013.1
НШ-2964.2014.1
This work was supported by the Russian Foundation for Basic Research (grant no. 12-01-00683), Grant of the President of the Russian Federation no. MD-6277.2013.1, and by the program “Leading Scientific Schools” (grant no. NSh-2964.2014.1).
Received: 07.08.2013
Revised: 03.04.2014
English version:
Mathematical Notes, 2015, Volume 97, Issue 2, Pages 249–254
DOI: https://doi.org/10.1134/S0001434615010265
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: E. I. Ponomarenko, A. M. Raigorodskii, “New Lower Bound for the Chromatic Number of a Rational Space with One and Two Forbidden Distances”, Mat. Zametki, 97:2 (2015), 255–261; Math. Notes, 97:2 (2015), 249–254
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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