  In this paper, we define inhomogeneous Graph-Directed (GD) separation
conditions for a given inhomogeneous GD Iterated Function Systems (IFS), and
estimate the upper box dimension of attractors by the dimension of the
condensation set and associated Mauldin-Williams graph dimension. Following
some work of Fraser, we also estimate the lower box dimension of attractors
generated by inhomogeneous GDIFS. In the end, we shed few lights on the
continuity of dimensions for the attractors of inhomogeneous GDIFS.
