2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70973The article provides an explicit algebraic expression for the generating function of walks on graphs. Its proof is based on the scattering theory for the differential Laplace operator on non-compact graphs.Uses epic and eepic stylesCombinatoricsMathematical Physics05A15, 34B45, 60G50text