On the Gonality of Ferrers Rook Graphs
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913348612784128 |
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| author | Jensen, David Morvai, Marissa Welch, William Yeomans, Sydney |
| author_facet | Jensen, David Morvai, Marissa Welch, William Yeomans, Sydney |
| contents | A Ferrers rook graph is a graph whose vertices correspond to the dots in a Ferrers diagram, and where two vertices are adjacent if they are in the same row or the same column. We propose a conjectural formula for the gonality of Ferrers rook graphs, and prove this conjecture for a few infinite families of Ferrers diagrams. We also prove the conjecture for all Ferrers diagrams $F$ with $|F| \leq 8$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07947 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Gonality of Ferrers Rook Graphs Jensen, David Morvai, Marissa Welch, William Yeomans, Sydney Combinatorics 05C57 A Ferrers rook graph is a graph whose vertices correspond to the dots in a Ferrers diagram, and where two vertices are adjacent if they are in the same row or the same column. We propose a conjectural formula for the gonality of Ferrers rook graphs, and prove this conjecture for a few infinite families of Ferrers diagrams. We also prove the conjecture for all Ferrers diagrams $F$ with $|F| \leq 8$. |
| title | On the Gonality of Ferrers Rook Graphs |
| topic | Combinatorics 05C57 |
| url | https://arxiv.org/abs/2405.07947 |