We examine the surface segregation behavior of binary polymer blends w
ith architecturally asymmetric components. Particular attention is giv
en to molten blends containing linear and branched polymers composed o
f the same type of monomer. If the branches are sufficiently long and
the branch points (joints) dilute, we argue that the surface enrichmen
t behavior has universal features that are independent of the chemical
identity of monomers. We identify entropic and enthalpic contribution
s to the surface potentials acting on end, joint, and middle monomers
of each species and show that these can be incorporated into a linear
response formalism for the prediction of surface enrichment. Applicati
ons to linear-comb and linear-star mixtures are explicitly demonstrate
d, and scaling relations for the integrated surface enrichment and enr
ichment length scale are identified. We also identify a topological. e
nrichment mechanism for blends that contain loops, e.g. linear-ring mi
xtures. Surprisingly, a dilute amount of ring polymer added to a linea
r melt is found at a surface at precisely twice the bulk concentration
, independent of ring length. This is argued to be a natural consequen
ce of the reflecting boundary conditions that are imposed on polymer p
ropagators for nearly incompressible melts at impenetrable surfaces.