  We consider the cubic nonlinear Schr\"{o}dinger equation on the star graph
with the Kirchhoff boundary condition. We prove modified scattering for the
final state problem and the initial value problem. Moreover, we also consider
the failure of scattering for the Schr\"{o}dinger equation with power-type
long-range nonlinearities. These results are extension of the results for NLS
on the one dimensional Euclidean space.
