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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 488, Pages 5–30 (Mi znsl6909)  

This article is cited in 1 scientific paper (total in 1 paper)

The structure of directed forests of minimal weight: algebra of subsets of the set of vertices

V. A. Buslov

St. Petersburg State University, Faculty of Physics
Full-text PDF (277 kB) Citations (1)
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Abstract: An embedded system of algebras of subsets of the set of vertices of weighted digraph is constructed, and the properties of spanning minimal forests are studied by restricting them to atoms of the corresponding algebras.
Key words and phrases: weighted digraph, minimal forest, set algebras.
Received: 18.11.2019
Document Type: Article
UDC: 519.17
Language: Russian
Citation: V. A. Buslov, “The structure of directed forests of minimal weight: algebra of subsets of the set of vertices”, Combinatorics and graph theory. Part XI, Zap. Nauchn. Sem. POMI, 488, POMI, St. Petersburg, 2019, 5–30
Citation in format AMSBIB
\Bibitem{Bus19}
\by V.~A.~Buslov
\paper The structure of directed forests of minimal weight: algebra of subsets of the set of vertices
\inbook Combinatorics and graph theory. Part~XI
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 488
\pages 5--30
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6909}
Linking options:
  • https://www.mathnet.ru/eng/znsl6909
  • https://www.mathnet.ru/eng/znsl/v488/p5
  • 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
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    Full-text PDF :35
    References:24
     
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