title: Explicit analytical solution for scaling quantum graphs.
abstract: We show that scaling quantum graphs with arbitrary topology are explicitly analytically solvable. This is surprising since quantum graphs are excellent models of quantum chaos and quantum chaotic systems are not usually explicitly analytically solvable.
authors.affiliation: Department of Physics, Wesleyan University, Middletown, CT 06459-0155, USA. ydabaghian@wesleyan.edu
authors.forename: Yu
authors.initials: Y
authors.lastname: Dabaghian
authors.forename: R
authors.initials: R
authors.lastname: Blümel