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Matematicheskie Zametki, 2012, Volume 92, Issue 3, Pages 463–480
DOI: https://doi.org/10.4213/mzm9066 (Mi mzm9066) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Gigantic Component in Random Distance Graphs of Special Form

A. R. Yarmuhametov

M. V. Lomonosov Moscow State University
Full-text PDF (542 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm9066
Abstract: We consider the problem of threshold probability for the existence of a gigantic component in a certain series of random distance graphs. The results obtained generalize the classical Erdős–Rényi theorems in the case of geometric graphs of special form.
Keywords: random distance graph, gigantic component in a random graph, classical Erdős–Rényi theorems, $k$-vertex tree, Stirling's formula.
Received: 02.03.2011
Revised: 20.06.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 3, Pages 426–441
DOI: https://doi.org/10.1134/S0001434612090167
Bibliographic databases:
Document Type: Article
UDC: 519.172
Language: Russian
Citation: A. R. Yarmuhametov, “Gigantic Component in Random Distance Graphs of Special Form”, Mat. Zametki, 92:3 (2012), 463–480; Math. Notes, 92:3 (2012), 426–441
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    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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