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Dal'nevostochnyi Matematicheskii Zhurnal, 2015, Volume 15, Number 2, Pages 197–213
(Mi dvmg309)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/dvmg309 https://www.mathnet.ru/eng/dvmg/v15/i2/p197
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Statistics & downloads: |
Abstract page: | 386 | Full-text PDF : | 114 | References: | 96 |
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