  We study Jacobi matrices on star-like graphs, which are graphs that are given
by the pasting of a finite number of half-lines to a compact graph.
Specifically, we extend subordinacy theory to this type of graphs, that is, we
find a connection between asymptotic properties of solutions to the eigenvalue
equations and continuity properties of the spectral measure with respect to the
Lebesgue measure. We also use this theory in order to derive results regarding
the multiplicity of the singular spectrum.
