The main result of the paper provides an explicit description of an embedde
d resolution of the hypersurface germ ({f(x, y) + z(2) = 0), 0) subset of (
C-3, 0) for an arbitrary f : (C-2, 0) --> (C, 0), The topological data of t
he exceptional divisors, their intersections and embeddings is codified in
a (two-dimensional) "resolution graph".