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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 1, Pages 36–45 (Mi jsfu217)  

This article is cited in 2 scientific papers (total in 2 papers)

The clique minimal separator decomposition of a hypergraph

Valentina V. Bykova

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
Full-text PDF (182 kB) Citations (2)
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Abstract: We present the decomposition of a hypergraph into its atoms with using the clique minimal separators. We have indicated that this decomposition is unique. We offer effective procedures for computing the clique minimal separators and construction the decomposition. We give the application by decomposition for computing the treewidth of a hypergraph.
Keywords: atom hypergraph, clique separator, acyclicity, treewidth.
Received: 18.09.2011
Received in revised form: 25.10.2011
Accepted: 10.11.2011
Document Type: Article
UDC: 519.1
Language: Russian
Citation: Valentina V. Bykova, “The clique minimal separator decomposition of a hypergraph”, J. Sib. Fed. Univ. Math. Phys., 5:1 (2012), 36–45
Citation in format AMSBIB
\Bibitem{Byk12}
\by Valentina~V.~Bykova
\paper The clique minimal separator decomposition of a~hypergraph
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 1
\pages 36--45
\mathnet{http://mi.mathnet.ru/jsfu217}
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  • https://www.mathnet.ru/eng/jsfu217
  • https://www.mathnet.ru/eng/jsfu/v5/i1/p36
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
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    Full-text PDF :298
    References:64
     
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