Scattering theory for graphs isomorphic to a homogeneous tree at   infinity
  We describe the spectral theory of the adjacency operator of a graph which is isomorphic to homogeneous trees at infinity. Using some combinatorics, we reduce the problem to a scattering problem for a finite rank perturbation of the adjacency operator on an homogeneous tree. We developp this scattering theory using the classical recipes for Schr\"odinger operators in Euclidian spaces. 
Yves Colin De Verdi\`ere (IF), Francoise Truc (IF)
math-ph math.MP math.SP