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Diskretnaya Matematika, 2017, Volume 29, Issue 3, Pages 114–125
DOI: https://doi.org/10.4213/dm1440 (Mi dm1440) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A method of graph reduction and its applications

D. V. sirotkin, D. S. Malyshev

National Research University – Higher School of Economics in Nizhny Novgorod
Full-text PDF (506 kB) Citations (1)
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DOI: https://doi.org/10.4213/dm1440
Abstract: The independent set problem for a given simple graph is to determine the size of a maximum set of its pairwise non-adjacent vertices. We propose a new way of graph reduction leading to a new proof of the NP-completeness of the independent set problem in the class of planar graphs and to the proof of NP-completeness of this problem in the class of planar graphs having only triangular internal facets of maximal vertex degree 18.
Keywords: independent sets, planar graph, planar triangulation, computational complexity.
Funding agency Grant number
Russian Science Foundation 17-11-01336
Исследование выполнено за счет гранта Российского научного фонда (проект № 17-11-01336).
Received: 16.12.2016
English version:
Discrete Mathematics and Applications, 2018, Volume 28, Issue 4, Pages 249–258
DOI: https://doi.org/10.1515/dma-2018-0022
Bibliographic databases:
UDC: 519.17
Language: Russian
Citation: D. V. sirotkin, D. S. Malyshev, “A method of graph reduction and its applications”, Diskr. Mat., 29:3 (2017), 114–125; Discrete Math. Appl., 28:4 (2018), 249–258
Citation in format AMSBIB
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\by D.~V.~sirotkin, D.~S.~Malyshev
\paper A method of graph reduction and its applications
\jour Diskr. Mat.
\yr 2017
\vol 29
\issue 3
\pages 114--125
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\crossref{https://doi.org/10.4213/dm1440}
\elib{https://elibrary.ru/item.asp?id=29887805}
\transl
\jour Discrete Math. Appl.
\yr 2018
\vol 28
\issue 4
\pages 249--258
\crossref{https://doi.org/10.1515/dma-2018-0022}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85053113965}
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  • https://doi.org/10.4213/dm1440
  • https://www.mathnet.ru/eng/dm/v29/i3/p114
    • 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
    		Дискретная математика
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