Constraints have been used extensively for the construction of graphical user interfaces. User interface constraints that are declarative are more favorable but require sophisticated constraint planning algorithms. Constraint planning algorithms proposed previously are getting more and more complicated as they were asked to handle more general requirements. We believe that the difficulty is mainly caused by the complicated data structure that is translated directly from the problem. By a transformation, we propose a simplified graph model for the problem and prove that the constraint planning problem can be reduced to finding feedback vertex sets on the simplified graph model. We also consider the general problem of handling non-uniform user interface constraints.