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Matematicheskie Zametki, 2020, Volume 107, Issue 3, Pages 351–365
DOI: https://doi.org/10.4213/mzm12205 (Mi mzm12205) 		 
This article is cited in 13 scientific papers (total in 13 papers)

A Generalization of Kneser Graphs

A. V. Bobua, A. E. Kupriyanova, A. M. Raigorodskiibacd

a Lomonosov Moscow State University
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
c Caucasus Mathematical Center, Adyghe State University, Maikop
d Buryat State University, Institute for Mathematics and Informatics, Ulan-Ude
Full-text PDF (550 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm12205
Abstract: Graphs which are analogs of Kneser graphs are studied. The problem of determining the chromatic numbers of these graphs is considered. It is shown that their structure is similar to that of Kneser graphs. Upper and lower bounds for the chromatic numbers of the graphs under examination are obtained. For certain parameter values, an order-sharp estimate of the chromatic numbers is found, and in some cases, the exact value of the quantity in question is determined.
Keywords: Kneser's conjecture, Kneser graphs, topological method.
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 Presidential Program for the State Support of Leading Scientific Schools under grant NSh-6760.2018.1.
Received: 01.10.2018
Revised: 23.05.2019
English version:
Mathematical Notes, 2020, Volume 107, Issue 3, Pages 392–403
DOI: https://doi.org/10.1134/S0001434620030037
Bibliographic databases:
Document Type: Article
UDC: 517.179.4
Language: Russian
Citation: A. V. Bobu, A. E. Kupriyanov, A. M. Raigorodskii, “A Generalization of Kneser Graphs”, Mat. Zametki, 107:3 (2020), 351–365; Math. Notes, 107:3 (2020), 392–403
Citation in format AMSBIB
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\by A.~V.~Bobu, A.~E.~Kupriyanov, A.~M.~Raigorodskii
\paper A Generalization of Kneser Graphs
\jour Mat. Zametki
\yr 2020
\vol 107
\issue 3
\pages 351--365
\mathnet{http://mi.mathnet.ru/mzm12205}
\crossref{https://doi.org/10.4213/mzm12205}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4070857}
\transl
\jour Math. Notes
\yr 2020
\vol 107
\issue 3
\pages 392--403
\crossref{https://doi.org/10.1134/S0001434620030037}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000528213700003}
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  • https://doi.org/10.4213/mzm12205
  • https://www.mathnet.ru/eng/mzm/v107/i3/p351
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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