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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
Bounds on higher graph gonality
Lisa Cenek, Lizzie Ferguson, Eyobel Gebre +5
We prove new lower and upper bounds on the higher gonalities of finite graphs. These bounds are generalizations of known upper and lower bounds for first gonality to higher gonalit…