Exact enumeration of fullerenes
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917693686284288 |
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| author | Engel, Philip Goedgebeur, Jan Smillie, Peter |
| author_facet | Engel, Philip Goedgebeur, Jan Smillie, Peter |
| contents | A fullerene, or buckyball, is a trivalent graph on the sphere with only pentagonal and hexagonal faces. Building on ideas of Thurston, we use modular forms to give an exact formula for the number of oriented fullerenes with a given number of vertices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_01655 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exact enumeration of fullerenes Engel, Philip Goedgebeur, Jan Smillie, Peter Geometric Topology Combinatorics 52C20 (Primary), 05C92, 11F02, 92E10 (Secondary) A fullerene, or buckyball, is a trivalent graph on the sphere with only pentagonal and hexagonal faces. Building on ideas of Thurston, we use modular forms to give an exact formula for the number of oriented fullerenes with a given number of vertices. |
| title | Exact enumeration of fullerenes |
| topic | Geometric Topology Combinatorics 52C20 (Primary), 05C92, 11F02, 92E10 (Secondary) |
| url | https://arxiv.org/abs/2304.01655 |