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Diskretnyi Analiz i Issledovanie Operatsii, 2009, Volume 16, Issue 6, Pages 74–92 (Mi da596)  
This article is cited in 6 scientific papers (total in 6 papers)

Exact upper estimates of the number of different balls of given radius for the graphs with fixed number of vertexes and diameter

T. I. Fedoryaeva

S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
Full-text PDF (305 kB) Citations (6)
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Abstract: For the $n$-vertex usual connected graphs with diameter $d$ the exact upper estimates of the number of different balls of given radius are obtained from investigation of the location of the centers of distinct balls. Ill. 5, bibl. 7.
Keywords: graph, diameter of the graph, metric ball, radius of the ball, number of balls, estimates.
Received: 01.06.2009
Revised: 26.10.2009
Bibliographic databases:
UDC: 519.17
Language: Russian
Citation: T. I. Fedoryaeva, “Exact upper estimates of the number of different balls of given radius for the graphs with fixed number of vertexes and diameter”, Diskretn. Anal. Issled. Oper., 16:6 (2009), 74–92
Citation in format AMSBIB
\Bibitem{Fed09}
\by T.~I.~Fedoryaeva
\paper Exact upper estimates of the number of different balls of given radius for the graphs with fixed number of vertexes and diameter
\jour Diskretn. Anal. Issled. Oper.
\yr 2009
\vol 16
\issue 6
\pages 74--92
\mathnet{http://mi.mathnet.ru/da596}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2649144}
\zmath{https://zbmath.org/?q=an:1249.05092}
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    • This publication is cited in the following 6 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 :110
    References:47
    First page:6
     
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