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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 166, Number 2, Pages 312–319
DOI: https://doi.org/10.4213/tmf6612 (Mi tmf6612) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Branching structure and maximum degree of an evolving random tree

Zhimin Li

School of Mathematics and Physics, Anhui Polytechnic University, Anhui, China
Full-text PDF (326 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf6612
Abstract: We introduce the concept of an evolving random tree. The proposed model is a combination of a preferential attachment model and a uniform model. We consider the branch structure and maximum degree of the evolving random tree, which can partially explain the robustness under random attack and the vulnerability to targeted attack in the world wide web.
Keywords: random recursive tree, scale-free graph, degree sequence.
Received: 03.07.2010
Revised: 02.09.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 166, Issue 2, Pages 270–277
DOI: https://doi.org/10.1007/s11232-011-0021-2
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Zhimin Li, “Branching structure and maximum degree of an evolving random tree”, TMF, 166:2 (2011), 312–319; Theoret. and Math. Phys., 166:2 (2011), 270–277
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v166/i2/p312
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:70
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