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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 499, Pages 17–19
DOI: https://doi.org/10.31857/S268695432104007X (Mi danma184) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Asymptotics of the independence number of a random subgraph of the graph $G(n,r,<s)$

V. S. Karasa, P. A. Ogarokb, A. M. Raigorodskiiabcd

a Lomonosov Moscow State University, Moscow, Russia
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow oblast, Russia
c Caucasus Mathematical Center, Adyghe State University, Maykop, Republic of Adygea, Russia
d Buryat State University, Institute for Mathematics and Informatics, Ulan-Ude, Buryat Republic, Russia
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DOI: https://doi.org/10.31857/S268695432104007X
Abstract: In this paper, we deal with a probabilistic version of a classical problem in extremal combinatorics. An extension to the case of nonconstant parameters and to the case of different probabilities of edges is established for a stability theorem asserting that the independence number of a random subgraph of a graph $G(n,r,<s)$ does not change asymptotically, provided that the initial edges are deleted independently.
Keywords: asymptotics, independence number, random subgraphs, graph $G(n,r,<s)$.
Funding agency Grant number
Russian Science Foundation 16-11-10014
This work was supported by the Russian Science Foundation, project no. 16-11-10014.
Presented: V. V. Kozlov
Received: 26.03.2020
Revised: 15.05.2021
Accepted: 16.05.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 1, Pages 173–174
DOI: https://doi.org/10.1134/S1064562421040074
Bibliographic databases:
Document Type: Article
UDC: 519.1
Language: Russian
Citation: V. S. Karas, P. A. Ogarok, A. M. Raigorodskii, “Asymptotics of the independence number of a random subgraph of the graph $G(n,r,<s)$”, Dokl. RAN. Math. Inf. Proc. Upr., 499 (2021), 17–19; Dokl. Math., 104:1 (2021), 173–174
Citation in format AMSBIB
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\paper Asymptotics of the independence number of a random subgraph of the graph $G(n,r,<s)$
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\pages 17--19
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