2 papers
math.SP2025
On Courant-type bounds and spectral partitioning via Neumann domains on quantum graphs
Luís Baptista, Matthias Hofmann
We study the structure of eigenfunctions of the Laplacian on quantum graphs, with a particular focus on Morse eigenfunctions via nodal and Neumann domains. Building on Courant-type…
math.CO2024
Mean distance on metric graphs
Luís N. Baptista, James B. Kennedy, Delio Mugnolo
We introduce a natural notion of mean (or average) distance in the context of compact metric graphs, and study its relation to geometric properties of the graph. We show that it ex…