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math.CO2024
The gonality of chess graphs
Nila Cibu, Kexin Ding, Steven DiSilvio +4
Chess graphs encode the moves that a particular chess piece can make on an chessboard. We study through these graphs through the lens of chip-firing games and graph gon…
math.CO2022★ 1 cited
Scramble number and tree-cut decompositions
Lisa Cenek, Lizzie Ferguson, Eyobel Gebre +6
The scramble number of a graph is an invariant recently developed to study chip-firing games and divisorial gonality. In this paper we introduce the screewidth of a graph, based on…
math.CO2022
Computing higher graph gonality is hard
Ralph Morrison, Lucas Tolley
In the theory of divisors on multigraphs, the divisorial gonality of a graph is the minimum degree of a rank divisor on that graph. It was proved by Gijswijt et al. th…