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Diskretnyi Analiz i Issledovanie Operatsii, 2008, Volume 15, Issue 6, Pages 3–10 (Mi da552)  
This article is cited in 9 scientific papers (total in 9 papers)

A criterion for a class of graphs to be a boundary class and applications

V. E. Alekseev, D. S. Malyshev

N. I. Lobachevski State University of Nizhni Novgorod
Full-text PDF (241 kB) Citations (9)
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Abstract: A new definition of the boundary class of graphs is given and the corresponding criterion is proved. The class of all graphs in which every connected component is a tree with at most three leaves is considered as an example. This class is known to be the boundary class for several graph problems. We establish some sufficient conditions for this class to be a boundary class and prove that it is the boundary class for the bipartite subgraph and the planar subgraph problems. Bibl. 8.
Keywords: computational complexity, boundary class, maximum subgraph problem.
Received: 16.06.2008
Revised: 01.10.2008
Bibliographic databases:
UDC: 519.178
Language: Russian
Citation: V. E. Alekseev, D. S. Malyshev, “A criterion for a class of graphs to be a boundary class and applications”, Diskretn. Anal. Issled. Oper., 15:6 (2008), 3–10
Citation in format AMSBIB
\Bibitem{AleMal08}
\by V.~E.~Alekseev, D.~S.~Malyshev
\paper A criterion for a class of graphs to be a~boundary class and applications
\jour Diskretn. Anal. Issled. Oper.
\yr 2008
\vol 15
\issue 6
\pages 3--10
\mathnet{http://mi.mathnet.ru/da552}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2543142}
\zmath{https://zbmath.org/?q=an:1249.05363}
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    • This publication is cited in the following 9 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:543
    Full-text PDF :104
    References:57
    First page:12
     
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