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math.CO2025
Refined Brill-Noether Theory for Complete Graphs
Haruku Aono, Eric Burkholder, Owen Craig +3
The divisor theory of the complete graph is in many ways similar to that of a plane curve of degree . We compute the splitting types of all divisors on the complete graph…
math.CO2024
On the Gonality of Ferrers Rook Graphs
David Jensen, Marissa Morvai, William Welch +1
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 p…
math.CO2022
Sliding Block Puzzles with a Twist: On Segerman's 15+4 Puzzle
Patrick Garcia, Angela Hanson, David Jensen +1
Segerman's 15+4 puzzle is a hinged version of the classic 15-puzzle, in which the tiles rotate as they slide around. In 1974, Wilson classified the groups of solutions to sliding b…