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math.CO2025
The gonality of circulant graphs
Lisa Cenek, Lizzie Ferguson, Eyobel Gebre +5
The gonality of a graph measures how difficult it is to move chips around the entirety of a graph according to certain chip-firing rules without introducing debt. In this paper we…
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…