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Problemy Peredachi Informatsii, 2015, Volume 51, Issue 2, Pages 86–98 (Mi ppi2172)  
This article is cited in 7 scientific papers (total in 7 papers)

Large Systems

Independence numbers and chromatic numbers of some distance graphs

A. V. Bobu, O. A. Kostina, A. E. Kupriyanov

Department of Mathematical Statistics and Random Processes, Faculty of Mathematics and Mechanics, Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (215 kB) Citations (7)
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Abstract: We study a family of distance graphs in $\mathbb R^n$. We present bounds for independence numbers which are asymptotically tight as $n\to\infty$. We substantially improve upper bounds on chromatic numbers of these graphs, and in a number of cases we give explicit constructions of independence sets.
Received: 28.05.2014
English version:
Problems of Information Transmission, 2015, Volume 51, Issue 2, Pages 165–176
DOI: https://doi.org/10.1134/S0032946015020076
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.1
Language: Russian
Citation: A. V. Bobu, O. A. Kostina, A. E. Kupriyanov, “Independence numbers and chromatic numbers of some distance graphs”, Probl. Peredachi Inf., 51:2 (2015), 86–98; Problems Inform. Transmission, 51:2 (2015), 165–176
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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