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Diskretnyi Analiz i Issledovanie Operatsii, 2008, Volume 15, Issue 3, Pages 58–64 (Mi da534)  
This article is cited in 4 scientific papers (total in 4 papers)

Optimization of quadruple circulant networks

È. A. Monakhova

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Full-text PDF (240 kB) Citations (4)
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Abstract: The problem of maximization of the number of nodes for a fixed degree and diameter for circulant networks is considered. The known lower bound for the maximum order of quadruple circulant networks is improved by $O(\frac32d^3)$ for any odd diameter $d>1$. A family of circulant networks is found at which the obtained estimate is attained. Tabl. 1, bibl. 7.
Keywords: circulant networks, diameter, the maximum order of a graph.
Received: 14.02.2008
Revised: 05.05.2008
Bibliographic databases:
UDC: 519.87
Language: Russian
Citation: È. A. Monakhova, “Optimization of quadruple circulant networks”, Diskretn. Anal. Issled. Oper., 15:3 (2008), 58–64
Citation in format AMSBIB
\Bibitem{Mon08}
\by \`E.~A.~Monakhova
\paper Optimization of quadruple circulant networks
\jour Diskretn. Anal. Issled. Oper.
\yr 2008
\vol 15
\issue 3
\pages 58--64
\mathnet{http://mi.mathnet.ru/da534}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2542325}
\zmath{https://zbmath.org/?q=an:1249.68006}
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  • https://www.mathnet.ru/eng/da/v15/i3/p58
    • This publication is cited in the following 4 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 :90
    References:55
    First page:1
     
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