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Diskretnaya Matematika, 2009, Volume 21, Issue 4, Pages 129–134
DOI: https://doi.org/10.4213/dm1077 (Mi dm1077) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the number of boundary classes in the 3-colouring problem

D. S. Malyshev
Full-text PDF (110 kB) Citations (4)
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DOI: https://doi.org/10.4213/dm1077
Abstract: The notion of a boundary class is a useful notion in the investigation of the complexity of extremal problems on graphs. One boundary class is known for the independent set problem and three boundary classes are known for the dominating set problem. In this paper it is proved that the set of boundary classes for the 3-colouring problem is infinite.
Received: 08.01.2008
English version:
Discrete Mathematics and Applications, 2009, Volume 19, Issue 6, Pages 625–630
DOI: https://doi.org/10.1515/DMA.2009.043
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: D. S. Malyshev, “On the number of boundary classes in the 3-colouring problem”, Diskr. Mat., 21:4 (2009), 129–134; Discrete Math. Appl., 19:6 (2009), 625–630
Citation in format AMSBIB
\Bibitem{Mal09}
\by D.~S.~Malyshev
\paper On the number of boundary classes in the 3-colouring problem
\jour Diskr. Mat.
\yr 2009
\vol 21
\issue 4
\pages 129--134
\mathnet{http://mi.mathnet.ru/dm1077}
\crossref{https://doi.org/10.4213/dm1077}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2641024}
\elib{https://elibrary.ru/item.asp?id=20730317}
\transl
\jour Discrete Math. Appl.
\yr 2009
\vol 19
\issue 6
\pages 625--630
\crossref{https://doi.org/10.1515/DMA.2009.043}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-75349093896}
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  • https://doi.org/10.4213/dm1077
  • https://www.mathnet.ru/eng/dm/v21/i4/p129
    • 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
    		Дискретная математика
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    Full-text PDF :167
    References:28
    First page:14
     
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