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Diskretnyi Analiz i Issledovanie Operatsii, 2015, Volume 22, Issue 6, Pages 43–54
DOI: https://doi.org/10.17377/daio.2015.22.512 (Mi da832) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The diversity vector of balls of a typical graph of small diameter

T. I. Fedoryaevaab

a Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
b Sobolev Institute of Mathematics, 4 Koptyug Ave., 630090 Novosibirsk, Russia
Full-text PDF (278 kB) Citations (7)
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DOI: https://doi.org/10.17377/daio.2015.22.512
Abstract: For ordinary connected graphs, the diversity vectors of balls ($i$th component of the vector is equal to the number of different balls of radius $i$) are studied asymptotically. The asymptotic behavior of the number of graphs of small diameter with full diversity of balls is investigated. The diversity vector of balls of a typical graph of the given small diameter is calculated. Asymptotically exact value of the number of labeled $n$-vertex graphs of diameter 3 is obtained. Ill. 2, bibliogr. 12.
Keywords: graph, metric ball, radius of ball, number of balls, diversity vector of balls, typical graph.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00507
Received: 20.09.2015
Revised: 26.10.2015
Bibliographic databases:
Document Type: Article
UDC: 519.1+519.173
Language: Russian
Citation: T. I. Fedoryaeva, “The diversity vector of balls of a typical graph of small diameter”, Diskretn. Anal. Issled. Oper., 22:6 (2015), 43–54
Citation in format AMSBIB
\Bibitem{Fed15}
\by T.~I.~Fedoryaeva
\paper The diversity vector of balls of a~typical graph of small diameter
\jour Diskretn. Anal. Issled. Oper.
\yr 2015
\vol 22
\issue 6
\pages 43--54
\mathnet{http://mi.mathnet.ru/da832}
\crossref{https://doi.org/10.17377/daio.2015.22.512}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3497822}
\elib{https://elibrary.ru/item.asp?id=25124389}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Full-text PDF :109
    References:40
    First page:13
     
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