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Matematicheskie Zametki, 2014, Volume 96, Issue 1, Pages 138–147
DOI: https://doi.org/10.4213/mzm10352 (Mi mzm10352) 		 
This article is cited in 10 scientific papers (total in 10 papers)

New Upper Bounds for the Independence Numbers of Graphs with Vertices in $\{-1,0,1\}^n$ and Their Applications to Problems of the Chromatic Numbers of Distance Graphs

E. I. Ponomarenkoa, A. M. Raigorodskiiba

a Moscow Institute of Physics and Technology (State University)
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (532 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm10352
Abstract: Upper bounds for the independence numbers in the graphs with vertices at $\{-1, 0,1\}^n$ are improved. Their applications to problems of the chromatic numbers of distance graphs are studied.
Keywords: graph, hypergraph, independence number, chromatic number, distance graph, Hamming distance, Nelson–Erdős–Hadwiger problem.
Received: 08.08.2013
Revised: 26.11.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 1, Pages 140–148
DOI: https://doi.org/10.1134/S000143461407013X
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: E. I. Ponomarenko, A. M. Raigorodskii, “New Upper Bounds for the Independence Numbers of Graphs with Vertices in $\{-1,0,1\}^n$ and Their Applications to Problems of the Chromatic Numbers of Distance Graphs”, Mat. Zametki, 96:1 (2014), 138–147; Math. Notes, 96:1 (2014), 140–148
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm/v96/i1/p138
    • This publication is cited in the following 10 articles:
    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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