On the Gonality of Ferrers Rook Graphs

Authors

  • David Jensen University of Kentucky
  • Marissa Morvai Wake Forest University
  • Noah Speeter University of Wisconsin-Rock County
  • Ben Welch University of Kentucky
  • Sydney Yeomans University of Michigan

DOI:

https://doi.org/10.46787/pump.v8i.4174

Keywords:

chip firing; gonality; Ferrers diagrams

Abstract

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.

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Published

2025-03-04

How to Cite

Jensen, D., Morvai, M., Speeter, N., Welch, W., & Yeomans, S. (2025). On the Gonality of Ferrers Rook Graphs. The PUMP Journal of Undergraduate Research, 8, 70–84. https://doi.org/10.46787/pump.v8i.4174