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Matematicheskie Zametki, 2022, Volume 111, Issue 1, Pages 107–116
DOI: https://doi.org/10.4213/mzm12722 (Mi mzm12722) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotics of the Independence Number of a Random Subgraph of the Graph G(n,r,<s)

A. M. Raigorodskiiabcd, V. S. Karasb

a Moscow Institute of Physics and Technology (National Research 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
Full-text PDF (509 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm12722
Abstract: The probabilistic version of a classical problem of extremal combinatorics is considered. The stability theorem which says that the independence number of a random subgraph of the graph G(n,r,s) remains asymptotically constant when edges are randomly removed is generalized to the case of nonconstant parameters.
Keywords: graph G(n,r,s), independence number, random subgraph, s-intersecting set, asymptotics.
Funding agency Grant number
Russian Science Foundation 16-11-10014
This work was supported by the Russian Science Foundation under grant 16-11-10014.
Received: 12.12.2020
English version:
Mathematical Notes, 2022, Volume 111, Issue 1, Pages 124–131
DOI: https://doi.org/10.1134/S0001434622010138
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: A. M. Raigorodskii, V. S. Karas, “Asymptotics of the Independence Number of a Random Subgraph of the Graph G(n,r,<s)”, Mat. Zametki, 111:1 (2022), 107–116; Math. Notes, 111:1 (2022), 124–131
Citation in format AMSBIB
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\issue 1
\pages 107--116
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  • https://doi.org/10.4213/mzm12722
  • https://www.mathnet.ru/eng/mzm/v111/i1/p107
    • This publication is cited in the following 2 articles:
    1. J. Zou, H. Li, S. Zhang, C. Ye, “Generalized connectivity of the Mycielskian graph under g-extra restriction”, Mathematics, 11:19 (2023), 4043  crossref
    2. V. O. Kirova, A. A. Sagdeev, “Two-colorings of normed spaces with no long monochromatic unit arithmetic progressions”, Dokl. Math., 106:2 (2022), 348–350  mathnet  crossref  crossref  mathscinet  elib
    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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