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Diskretnaya Matematika, 2019, Volume 31, Issue 2, Pages 114–122
DOI: https://doi.org/10.4213/dm1573
(Mi dm1573)
 

This article is cited in 2 scientific papers (total in 2 papers)

On the connectivity of configuration graphs

Yu. L. Pavlov

Institute of Applied Mathematical Research of the Karelian Research Centre RAS, Petrozavodsk
Full-text PDF (411 kB) Citations (2)
References:
Abstract: We consider configuration graphs with vertex degrees being independent identically distributed random variables. The distribution of these variables satisfies only relatively weak constraints on the probabilities of large values of degrees. For the case when the number of vertices tends to infinity, the conditions are found under which the graph is asymptotically almost surely connected. We also give estimates of the rate of convergence to zero of the probability that the graph is not connected.
Keywords: configuration graph, random vertex degrees, graph connectivity.
Received: 13.04.2019
English version:
Discrete Mathematics and Applications, 2021, Volume 31, Issue 1, Pages 43–49
DOI: https://doi.org/10.1515/dma-2021-0004
Bibliographic databases:
Document Type: Article
UDC: 519.212.2+519.175.4
Language: Russian
Citation: Yu. L. Pavlov, “On the connectivity of configuration graphs”, Diskr. Mat., 31:2 (2019), 114–122; Discrete Math. Appl., 31:1 (2021), 43–49
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/dm1573
  • https://doi.org/10.4213/dm1573
  • https://www.mathnet.ru/eng/dm/v31/i2/p114
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретная математика
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    Abstract page:449
    Full-text PDF :63
    References:63
    First page:44
     
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