[jboggan]

I spent a summer as an undergrad doing research on this sort of thing, a nice paper came out of it from the grad students working with us [0].

I love to see graph theory creeping into other branches of mathematics, especially blending the discrete and continuous domains.

0 - https://books.google.com/books?id=J65sAwAAQBAJ&pg=PA15&lpg=P...

[mikhailfranco]

Standalone version here: http://people.math.gatech.edu/~mbaker/pdf/Quantum_Graphs_Rev...