  In this paper, we study optimal parametrizations of the invariant sets of a
single matrix graph IFS which is a generalization of the result of Rao and
Zhang (2016). We show that the invariant sets of a linear single matrix GIFS
which has a primitive associated matrix and satisfies the open set condition
admit optimal parametrizations. This result is the basis of the further study
of space-filling curves of self-affine sets.
