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math.CO2023
The Gonality of Queen's Graphs
Ralph Morrison, Noah Speeter
In this paper we study queen's graphs, which encode the moves by a queen on an chess board, through the lens of chip-firing games. We prove that their gonality is equal…
math.CO2023
On the size and complexity of scrambles
Seamus Connor, Steven DiSilvio, Sasha Kononova +2
The scramble number of a graph, a natural generalization of bramble number, is an invariant recently developed to study chip-firing games and graph gonality. We introduce the carto…