In recent years, digraph induced generators of quantum dynamical semigroups have been introduced and studied, particularly in the context of unique relaxation. In this talk we consider the converse construction to show every generator L naturally gives rise to a digraph GL. In specialized cases we use properties of GL to explicitly compute all invariant states of the semigroup. In the general case we discuss relaxation and the number of invariant states of the semigroup in terms of several other generator induced graphs.