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Dal'nevostochnyi Matematicheskii Zhurnal, 2015, Volume 15, Number 2, Pages 197–213 (Mi dvmg309)  

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

$k$-belts and edge-cycles of three-dimensional simple polytopes with at most hexagonal facets

N. Yu. Erokhovets

Lomonosov Moscow State University
Full-text PDF (206 kB) Citations (2)
References:
Abstract: We describe the structure of $k$-belts on simple $3$-polytopes with at most hexagonal facets. As a corollary we prove that the number of patches that can be bounded by a simple edge-cycle of given length on such polytopes different from nanotubes, is finite.
Key words: $k$-belt, simple edge-cycle, patch, cyclic edge-cut, three-dimensional polytope, fullerene.
Received: 30.10.2015
Bibliographic databases:
Document Type: Article
UDC: 514.172.45
MSC: Primary 51M20; Secondary 52B10
Language: Russian
Citation: N. Yu. Erokhovets, “$k$-belts and edge-cycles of three-dimensional simple polytopes with at most hexagonal facets”, Dal'nevost. Mat. Zh., 15:2 (2015), 197–213
Citation in format AMSBIB
\Bibitem{Ero15}
\by N.~Yu.~Erokhovets
\paper $k$-belts and edge-cycles of three-dimensional simple polytopes with at most hexagonal facets
\jour Dal'nevost. Mat. Zh.
\yr 2015
\vol 15
\issue 2
\pages 197--213
\mathnet{http://mi.mathnet.ru/dvmg309}
\elib{https://elibrary.ru/item.asp?id=25058094}
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  • https://www.mathnet.ru/eng/dvmg/v15/i2/p197
  • 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
    Дальневосточный математический журнал
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