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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 215–228 (Mi semr102)  

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

Research papers

Upper complexity bounds for an infinite family of graph-manifolds

E. A. Fominykhab

a Chelyabinsk State University
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (323 kB) Citations (2)
References:
Abstract: We provide a new formula for an upper bound of complexity of closed connected graph-manifolds obtained by gluing together two Seifert manifolds fibered over the disc with two exceptional fibers and a Seifert manifolds fibered over the annulus with one exceptional fiber. This bound turns out to be sharp for all such manifolds up to complexity 12.
Keywords: Matveev's complexity, graph-manifolds.
Received February 7, 2008, published May 15, 2008
Bibliographic databases:
Document Type: Article
UDC: 515.16
MSC: 57M27
Language: Russian
Citation: E. A. Fominykh, “Upper complexity bounds for an infinite family of graph-manifolds”, Sib. Èlektron. Mat. Izv., 5 (2008), 215–228
Citation in format AMSBIB
\Bibitem{Fom08}
\by E.~A.~Fominykh
\paper Upper complexity bounds for an infinite family of graph-manifolds
\jour Sib. \`Elektron. Mat. Izv.
\yr 2008
\vol 5
\pages 215--228
\mathnet{http://mi.mathnet.ru/semr102}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586633}
\elib{https://elibrary.ru/item.asp?id=11928975}
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  • https://www.mathnet.ru/eng/semr102
  • https://www.mathnet.ru/eng/semr/v5/p215
  • 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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    Abstract page:218
    Full-text PDF :54
    References:41
     
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