Diskretnyi Analiz i Issledovanie Operatsii
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Diskretn. Anal. Issled. Oper.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/da534
  • 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
    Statistics & downloads:
    Abstract page:436
    Full-text PDF :86
    References:45
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024