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Matematicheskie Zametki, 2016, Volume 99, Issue 4, Pages 550–558
DOI: https://doi.org/10.4213/mzm10745 (Mi mzm10745) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On the Number of Edges in Induced Subgraphs of a Special Distance Graph

Ph. Pushnyakov

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Full-text PDF (466 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm10745
Abstract: We obtain new estimates for the number of edges in induced subgraphs of a special distance graph.
Keywords: distance graph, clique, cycle, coloring, Borsuk problem.
Received: 26.03.2015
Revised: 01.07.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 4, Pages 545–551
DOI: https://doi.org/10.1134/S0001434616030275
Bibliographic databases:
Document Type: Article
UDC: 519.176
Language: Russian
Citation: Ph. Pushnyakov, “On the Number of Edges in Induced Subgraphs of a Special Distance Graph”, Mat. Zametki, 99:4 (2016), 550–558; Math. Notes, 99:4 (2016), 545–551
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm10745
  • https://doi.org/10.4213/mzm10745
  • https://www.mathnet.ru/eng/mzm/v99/i4/p550
    • This publication is cited in the following 8 articles:
    1. Ya. K. Shubin, “On the Minimal Number of Edges in Induced Subgraphs of Special Distance Graphs”, Math. Notes, 111:6 (2022), 961–969  mathnet  crossref  crossref
    2. Ph. A. Pushnyakov, A. M. Raigorodskii, “Estimate of the Number of Edges in Special Subgraphs of a Distance Graph”, Math. Notes, 107:2 (2020), 322–332  mathnet  crossref  crossref  isi  elib
    3. Ph. A. Pushnyakov, “The Number of Edges in Induced Subgraphs of Some Distance Graphs”, Math. Notes, 105:4 (2019), 582–591  mathnet  crossref  crossref  mathscinet  isi  elib
    4. M. M. Pyaderkin, “On Threshold Probability for the Stability of Independent Sets in Distance Graphs”, Math. Notes, 106:2 (2019), 274–285  mathnet  crossref  crossref  mathscinet  isi  elib
    5. S. G. Kiselev, A. M. Raigorodskii, “On the chromatic number of a random subgraph of the Kneser graph”, Dokl. Math., 96:2 (2017), 475–476  crossref  mathscinet  zmath  isi  scopus
    6. Lev Shabanov, Andrei Raigorodskii, “TURANOVSKIE OTsENKI DLYa DISTANTsIONNYKh GRAFOV”, Doklady Akademii nauk, 2017, no. 3, 254  crossref
    7. S.G. Kiselev, A.M. Raigorodskii, “O KhROMATIChESKOM ChISLE SLUChAINOGO PODGRAFA KNEZEROVSKOGO GRAFA, “Doklady Akademii nauk””, Doklady Akademii Nauk, 2017, no. 4, 375  crossref
    8. Ph. A. Pushnyakov, “A new estimate for the number of edges in induced subgraphs of a special distance graph”, Problems Inform. Transmission, 51:4 (2015), 371–377  mathnet  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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