FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
k-belts and edge-cycles of three-dimensional simple polytopes with at most hexagonal facets |
Erokhovets N.Yu. |
2015, issue 2, P. 197-213 |
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. |
Keywords: k-belt, simple edge-cycle, patch, cyclic edge-cut, three-dimensional polytope, fullerene |
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References |
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