  We consider the Schr\"{o}dinger equation with power type long-range
nonlinearity on star graph. Under a general boundary condition at the vertex,
including Kirchhoff, Dirichlet, $\delta$, or $\delta'$ boundary condition, we
show that the non-trivial global solution does not scatter to standing waves.
Our proof is based on the argument by Murphy and Nakanishi, who treated the
long-range nonlinear Schr\"{o}dinger equation with a general potential in the
Euclidean space, in order to consider general boundary conditions.
