Fibonacci Sumsets and the Gonality of Strip Graphs
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909290163339264 |
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| author | Jensen, David Laboy, Doel Rivera |
| author_facet | Jensen, David Laboy, Doel Rivera |
| contents | We provide a new perspective on the divisor theory of graphs, using additive combinatorics. As a test case for this perspective, we compute the gonality of certain families of outerplanar graphs, specifically the strip graphs. The Jacobians of such graphs are always cyclic of Fibonacci order. As a consequence, we obtain several results on the additive properties of Fibonacci numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09247 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fibonacci Sumsets and the Gonality of Strip Graphs Jensen, David Laboy, Doel Rivera Combinatorics 05C57, 14T90 We provide a new perspective on the divisor theory of graphs, using additive combinatorics. As a test case for this perspective, we compute the gonality of certain families of outerplanar graphs, specifically the strip graphs. The Jacobians of such graphs are always cyclic of Fibonacci order. As a consequence, we obtain several results on the additive properties of Fibonacci numbers. |
| title | Fibonacci Sumsets and the Gonality of Strip Graphs |
| topic | Combinatorics 05C57, 14T90 |
| url | https://arxiv.org/abs/2408.09247 |