  For a stability condition $\sigma$ on a triangulated category,
Dimitrov-Katzarkov introduced the notion of a $\sigma$-exceptional collection.
In this paper, we study full $\sigma$-exceptional collections in the derived
category of an acyclic quiver. In particular, we prove that any stability
condition $\sigma$ on the derived category of a Dynkin quiver admits a full
$\sigma$-exceptional collection.
