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Prikladnaya Diskretnaya Matematika, 2013, Number 3(21), Pages 76–85 (Mi pdm417)  
This article is cited in 1 scientific paper (total in 1 paper)

Applied Graph Theory

On a construction of quadruple circulant networks with the maximal number of nodes for any diameter

E. A. Monakhova

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
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Abstract: For undirected circulant networks, the maximization problem for the number of nodes under given degree and diameter of a graph is considered. A new lower estimate is obtained for the attainable number of nodes in the circulant graphs of dimension 4 and any diameter. Some new infinite families of circulants reaching this estimate are constructed. For graphs of these families, some analytical descriptions are given.
Keywords: undirected circulant graphs, diameter, maximum order of a graph.
Document Type: Article
UDC: 519.87
Language: Russian
Citation: E. A. Monakhova, “On a construction of quadruple circulant networks with the maximal number of nodes for any diameter”, Prikl. Diskr. Mat., 2013, no. 3(21), 76–85
Citation in format AMSBIB
\Bibitem{Mon13}
\by E.~A.~Monakhova
\paper On a~construction of quadruple circulant networks with the maximal number of nodes for any diameter
\jour Prikl. Diskr. Mat.
\yr 2013
\issue 3(21)
\pages 76--85
\mathnet{http://mi.mathnet.ru/pdm417}
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  • https://www.mathnet.ru/eng/pdm/y2013/i3/p76
    • 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
    		Прикладная дискретная математика
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    References:33
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