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Mat. Zametki, 2020, Volume 107, Issue 2, Pages 286–298 (Mi mz12088)  

This article is cited in 3 scientific papers (total in 3 papers)

Estimate of the Number of Edges in Special Subgraphs of a Distance Graph

Ph. A. Pushnyakova*, A. M. Raigorodskiiabcd

a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
b Lomonosov Moscow State University
c Caucasus Mathematical Center, Adyghe State University, Maikop
d Buryat State University, Institute for Mathematics and Informatics, Ulan-Ude

Abstract: The classical problem of estimating the number of edges in a subgraph of a special distance graph is considered. Old results are significantly improved.

Keywords: extremal combinatorics, Turán theorem.

Funding Agency Grant Number
Russian Foundation for Basic Research 18-01-00355
Ministry of Education and Science of the Russian Federation НШ-6760.2018.1
This work was supported by the Russian Foundation for Basic Research under grant 18-01-00355 and by the program “Leading Scientific Schools” under grant NSh-6760.2018.1.

* Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/mzm12088

Full text: PDF file (555 kB)
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English version:
Mathematical Notes, 2020, 107:2, 322–332

Bibliographic databases:

UDC: 517
PACS: 02.10.Ox
Received: 12.06.2018
Revised: 01.09.2019

Citation: Ph. A. Pushnyakov, A. M. Raigorodskii, “Estimate of the Number of Edges in Special Subgraphs of a Distance Graph”, Mat. Zametki, 107:2 (2020), 286–298; Math. Notes, 107:2 (2020), 322–332

Citation in format AMSBIB
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\paper Estimate of the Number of Edges in Special Subgraphs of a Distance Graph
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\yr 2020
\vol 107
\issue 2
\pages 286--298
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\crossref{https://doi.org/10.4213/mzm12088}
\elib{https://elibrary.ru/item.asp?id=43245827}
\transl
\jour Math. Notes
\yr 2020
\vol 107
\issue 2
\pages 322--332
\crossref{https://doi.org/10.1134/S0001434620010320}
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  • https://doi.org/10.4213/mzm12088
  • http://mi.mathnet.ru/eng/mz/v107/i2/p286

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. P. A. Ogarok, A. M. Raigorodskii, “Ob ustoichivosti chisla nezavisimosti nekotorogo distantsionnogo grafa”, Probl. peredachi inform., 56:4 (2020), 50–63  mathnet  crossref
    2. Yu. A. Demidovich, M. E. Zhukovskii, “Chromatic Numbers of Distance Graphs without Short Odd Cycles in Rational Spaces”, Math. Notes, 109:5 (2021), 727–734  mathnet  crossref  crossref  isi  elib
    3. A. V. Berdnikov, A. M. Raigorodskii, “Otsenki chisel Borsuka po distantsionnym grafam spetsialnogo vida”, Probl. peredachi inform., 57:2 (2021), 44–50  mathnet  crossref
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