  In a recent paper, Pardo and the first named author introduced a class of
C*-algebras which which are constructed from an action of a group on a graph.
This class was shown to include many C*-algebras of interest, including all
Kirchberg algebras in the UCT class. In this paper, we study the conditions
under which these algebras can be realized as partial crossed products of
commutative C*-algebras by groups. In addition, for any $n\geq 2$ we present a
large class of groups such that for any group $H$ in this class, the Cuntz
algebra $\mathcal{O}_n$ is isomorphic to a partial crossed product of a
commutative C*-algebra by $H$.
