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Diskretnyi Analiz i Issledovanie Operatsii, 2014, Volume 21, Issue 1, Pages 44–52 (Mi da759)  

This article is cited in 5 scientific papers (total in 5 papers)

On the description problem of the diversity vectors of balls

A. A. Evdokimovab, T. I. Fedoryaevaba

a Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
b Sobolev Institute of Mathematics, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
Full-text PDF (249 kB) Citations (5)
References:
Abstract: The diversity vectors of balls are studied (the $i$th component of the vector is equal to the number of different balls of radius $i$) for ordinary connected graphs. The description problem of the diversity vectors of balls is solved for graphs with a small diameter. Ill. 3, bibliogr. 11.
Keywords: graph, metric ball, radius of ball, the number of balls, the diversity vector of balls.
Received: 16.12.2012
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 2, Pages 190–195
DOI: https://doi.org/10.1134/S1990478914020057
Bibliographic databases:
Document Type: Article
UDC: 519.1+519.173
Language: Russian
Citation: A. A. Evdokimov, T. I. Fedoryaeva, “On the description problem of the diversity vectors of balls”, Diskretn. Anal. Issled. Oper., 21:1 (2014), 44–52; J. Appl. Industr. Math., 8:2 (2014), 190–195
Citation in format AMSBIB
\Bibitem{EvdFed14}
\by A.~A.~Evdokimov, T.~I.~Fedoryaeva
\paper On the description problem of the diversity vectors of balls
\jour Diskretn. Anal. Issled. Oper.
\yr 2014
\vol 21
\issue 1
\pages 44--52
\mathnet{http://mi.mathnet.ru/da759}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3288380}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 2
\pages 190--195
\crossref{https://doi.org/10.1134/S1990478914020057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902132663}
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  • https://www.mathnet.ru/eng/da/v21/i1/p44
  • This publication is cited in the following 5 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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    Abstract page:474
    Full-text PDF :132
    References:73
    First page:18
     
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