The composition and concentration dependencies of the self-diffusion coefficients for a series of miktoarm star block copolymers of the A(2)B type in solutions in a common good solvent have been investigated by pulsed field-gradient nuclear magnetic resonance; the graft copolymers are composed of A = polyisoprene and B = polystyrene, where the B block was attached either in the middle of the A block (tau = 0.5) or at a position with tau = 0.25. The dependence of the diffusion coefficients on concentration, in both A(2)B graft copolymers and AB diblock copolymers, can be collapsed onto a master curve with a proposed scaling procedure which takes into account the difference in the entanglement characteristics of the parent homopolymers and the different radii of gyration of stars vs linear polymers. The exponential slowing down of the diffusivities expected for star molecules was not observed due to the only moderately high molecular weights and concentrations.