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Problemy Peredachi Informatsii, 2020, Volume 56, Issue 4, Pages 50–63
DOI: https://doi.org/10.31857/S0555292320040051 (Mi ppi2328) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Large Systems

On stability of the independence number of a certain distance graph

P. A. Ogaroka, A. M. Raigorodskiibcdeaf

a Moscow Institute of Physics and Technology (State University), Moscow, Russia
b Phystech School of Applied Mathematics and Informatics, Moscow Institute of Physics and Technology (State University), Moscow, Russia
c Institute of Mathematics and Computer Science, Buryat State University, Ulan-Ude, Russia
d Caucasus Mathematical Center, Adyghe State University, Maykop, Republic of Adygea, Russia
e Department of Mathematical Statistics and Random Processes, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
f Laboratory of Advanced Combinatorics and Network Applications, Moscow Institute of Physics and Technology (State University), Moscow, Russia
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DOI: https://doi.org/10.31857/S0555292320040051
Abstract: We study the asymptotic behavior of the independence number of a random subgraph of a certain $(r,s)$-distance graph. We provide upper and lower bounds for the critical edge survival probability under which a phase transition occurs, i.e., large new independent sets appear in the subgraph, which did not exist in the original graph.
Keywords: random graph, distance graph, independence number.
Funding agency Grant number
Russian Science Foundation 16-11-10014
The research was carried out at the expense of the Russian Science Foundation, project no. 16-11-10014.
Received: 09.03.2020
Revised: 29.10.2020
Accepted: 29.10.2020
English version:
Problems of Information Transmission, 2020, Volume 56, Issue 4, Pages 345–357
DOI: https://doi.org/10.1134/S0032946020040055
Bibliographic databases:
Document Type: Article
UDC: 621.391 : 519.176
Language: Russian
Citation: P. A. Ogarok, A. M. Raigorodskii, “On stability of the independence number of a certain distance graph”, Probl. Peredachi Inf., 56:4 (2020), 50–63; Problems Inform. Transmission, 56:4 (2020), 345–357
Citation in format AMSBIB
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\by P.~A.~Ogarok, A.~M.~Raigorodskii
\paper On stability of the independence number of a certain distance graph
\jour Probl. Peredachi Inf.
\yr 2020
\vol 56
\issue 4
\pages 50--63
\mathnet{http://mi.mathnet.ru/ppi2328}
\crossref{https://doi.org/10.31857/S0555292320040051}
\transl
\jour Problems Inform. Transmission
\yr 2020
\vol 56
\issue 4
\pages 345--357
\crossref{https://doi.org/10.1134/S0032946020040055}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000612377800005}
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  • https://www.mathnet.ru/eng/ppi/v56/i4/p50
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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