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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 1, Pages 202–207 (Mi uzku1111)  
This article is cited in 2 scientific papers (total in 2 papers)

A minimal nonpolytopal fan

M. N. Matveev

Moscow Institute of Physics and Technology (State University)
Full-text PDF (177 kB) Citations (2)
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Abstract: The paper defines a polytopal incomplete fan as a subfan of a polytopal complete fan. A criterion for a not necessarily complete fan to be polytopal is proved. Using this criterion, a minimal nonpolytopal fan of three two-dimensional cones pairwise meeting in the origin is found in $\mathbb R^3$.
Keywords: polytopes, cones, fans, systems of linear equations and inequalities.
Received: 20.12.2011
Document Type: Article
UDC: 514.172.45+514.174.5
Language: Russian
Citation: M. N. Matveev, “A minimal nonpolytopal fan”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 1, Kazan University, Kazan, 2012, 202–207
Citation in format AMSBIB
\Bibitem{Mat12}
\by M.~N.~Matveev
\paper A minimal nonpolytopal fan
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 1
\pages 202--207
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1111}
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  • https://www.mathnet.ru/eng/uzku/v154/i1/p202
    • 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
    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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