  We show that the Alexander and Thurston norms are the same for all
irreducible Eisenbud-Neumann graph links in homology 3-spheres. These are the
links obtained by splicing Seifert links in homology 3-spheres together along
tori. By combining this result with previous results, we prove that the two
norms coincide for all links in S^3 if either of the following two conditions
are met; the link is a graph link, so that the JSJ decomposition of its
complement in S^3 is made up of pieces which are all Seifert-fibered, or the
link is alternating and not a (2,n)-torus link, so that the JSJ decomposition
of its complement in S^3 is made up of pieces which are all hyperbolic. We use
the E-N obstructions to fibrations for graph links together with the Thurston
cone theorem on link fibrations to deduce that every facet of the reduced
Thurston norm unit ball of a graph link is a fibered facet.
