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Izvestiya: Mathematics, 2017, Volume 81, Issue 2, Pages 391–443
DOI: https://doi.org/10.1070/IM8460 (Mi im8460) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Distribution of small subgraphs in Buckley–Osthus random graphs

S. D. Tilga

Lomonosov Moscow State University
English version PDF (482 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM8460
Abstract: We study a random graph model similar to the Buckley–Osthus preferential attachment model and develop a technique for estimating the expectation of a wide class of random variables in this model. By means of this technique, we prove a theorem on the asymptotic behaviour of the expectation of the number of subgraphs isomorphic to a fixed graph in the random graphs of the model.
Keywords: random graph, internet graph, preferential attachment, Buckley–Osthus model, number of subgraphs.
Received: 18.10.2015
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2017, Volume 81, Issue 2, Pages 161–214
DOI: https://doi.org/10.4213/im8460
Bibliographic databases:
Document Type: Article
UDC: 519.175.4
MSC: 05C80, 68M10, 68R10
Language: English
Original paper language: Russian
Citation: S. D. Tilga, “Distribution of small subgraphs in Buckley–Osthus random graphs”, Izv. RAN. Ser. Mat., 81:2 (2017), 161–214; Izv. Math., 81:2 (2017), 391–443
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM8460
  • https://www.mathnet.ru/eng/im/v81/i2/p161
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:576
    Russian version PDF:182
    English version PDF:19
    References:56
    First page:31
     
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