On the Gonality of Ferrers Rook Graphs
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| ≤ 8.
Authors
- William J. Welch (ORCID: https://orcid.org/0000-0002-4575-3124)
- Noah Speeter (ORCID: https://orcid.org/0000-0001-5467-7111)
- Marissa Morvai
- Sydney Yeomans
- David Jensen
Institutions
- University of Kentucky (US)
- University of Michigan (US)
- Rock County Historical Society (US)
- Wake Forest University (US)
Publication Details
- Journal
- The PUMP Journal of Undergraduate Research
- Published
- 2025-03-04
- DOI
- https://doi.org/10.46787/pump.v8i.4174
- Primary Topic
- Graph Labeling and Dimension Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00