  We provide a complete invariant for graph C*-algebras which are amplified in
the sense that whenever there is an edge between two vertices, there are
infinitely many. The invariant used is the standard primitive ideal space
adorned with a map into {-1,0,1,2,...}, and we prove that the classification
result is strong in the sense that isomorphisms at the level of the invariant
always lift. We extend the classification result to cover more graphs, and give
a range result for the invariant (in the vein of Effros-Handelman-Shen) which
is further used to prove that extensions of graph C*-algebras associated to
amplified graphs are again graph C*-algebras of amplified graphs.
