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Diskretnaya Matematika, 1993, Volume 5, Issue 1, Pages 112–129 (Mi dm671)  

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

Edge hypergraphs

A. G. Levin, R. I. Tyshkevich
Abstract: The notion of line hypergraph is introduced. It is an immediate generalization of two well-known objects: the line graph and the dual hypergraph. We obtain various characterizations of line hypergraphs; we also obtain a generalization of Whitney's theorem. The NP-completeness of the problem of determining whether a given graph is the line graph of a hypergraph of rank $r>2$ is proved.
Received: 05.08.1991
Bibliographic databases:
UDC: 519.1
Language: Russian
Citation: A. G. Levin, R. I. Tyshkevich, “Edge hypergraphs”, Diskr. Mat., 5:1 (1993), 112–129; Discrete Math. Appl., 3:4 (1993), 407–427
Citation in format AMSBIB
\Bibitem{LevTys93}
\by A.~G.~Levin, R.~I.~Tyshkevich
\paper Edge hypergraphs
\jour Diskr. Mat.
\yr 1993
\vol 5
\issue 1
\pages 112--129
\mathnet{http://mi.mathnet.ru/dm671}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1221673}
\zmath{https://zbmath.org/?q=an:0799.05047}
\transl
\jour Discrete Math. Appl.
\yr 1993
\vol 3
\issue 4
\pages 407--427
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  • https://www.mathnet.ru/eng/dm/v5/i1/p112
  • 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
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