4 papers
The -gonal locus in the moduli space of tropical plane curves
Desmond Leitz, Ralph Morrison, Søren Newman-Taylor +1
We introduce and study the locus of genus tropical plane curves of gonality inside the moduli space of tropica…
Chip-Firing Games on Banana Trees
Marchelle Beougher, Nila Cibu, Kexin Ding +6
We study chip-firing games on multigraphs whose underlying simple graphs are trees, paths, and stars, denoted as banana trees, paths, and stars respectively. We present a polynomia…
The tropical crossing number of a finite graph
Noah Cape, Ralph Morrison
In 2015, Cartwright et al. showed that any -regular metric graph arises as the skeleton of a tropical plane curve with nodes allowed. They introduced the tropical crossing numbe…
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…