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Diskretnyi Analiz i Issledovanie Operatsii, 2009, Volume 16, Issue 1, Pages 80–92 (Mi da563)  
This article is cited in 16 scientific papers (total in 16 papers)

On two-colour perfect colourings of circular graphs

D. B. Khoroshilova

Novosibirsk State University
Full-text PDF (269 kB) Citations (16)
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Abstract: We consider perfect colourings of a certain class of infinite graphs called circular graphs. It is shown that every such perfect colouring yields a perfect colouring of an $n$-dimensional infinite lattice which has the same parameters as the original colouring. A construction that produces two-colour perfect colourings of circular graphs is proposed and the parameters of perfect colourings given by the construction are enumerated. Bibl. 12.
Keywords: perfect colouring, circular graph, equitable partition.
Received: 16.09.2008
Revised: 17.11.2008
Bibliographic databases:
UDC: 519.87
Language: Russian
Citation: D. B. Khoroshilova, “On two-colour perfect colourings of circular graphs”, Diskretn. Anal. Issled. Oper., 16:1 (2009), 80–92
Citation in format AMSBIB
\Bibitem{Kho09}
\by D.~B.~Khoroshilova
\paper On two-colour perfect colourings of circular graphs
\jour Diskretn. Anal. Issled. Oper.
\yr 2009
\vol 16
\issue 1
\pages 80--92
\mathnet{http://mi.mathnet.ru/da563}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2543164}
\zmath{https://zbmath.org/?q=an:1249.05119}
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  • https://www.mathnet.ru/eng/da563
  • https://www.mathnet.ru/eng/da/v16/i1/p80
    • This publication is cited in the following 16 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:601
    Full-text PDF :155
    References:69
    First page:11
     
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