2 papers
math.CO2025
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…
math.CO2024
Generating Series of Key Polynomials and Bounded Ascending Sequences of Integers
Noah Cape, Shaul Zemel
The fact that Schubert polynomials are the weighted counting functions for reduced RC-graphs, also known as reduced pipe dreams, was established using their generating functions in…