Abstract
In this paper we first study clusters in type $\tilde{\mathbb{A}}$ and
compute how many infinite families there are. We also highlight the
similarities and differences between the annuli diagrams used to study clusters
and those used to study exceptional sets in type $\tilde{\mathbb{A}}$. We then
focus on exceptional collections (sets) of modules over quiver algebras by
first showing that the notion of relative projectivity in exceptional sets is
well defined. We finish by counting the number of exceptional sets of
representations of type $\mathbb{A}$ quivers with straight orientation and
using this to count the number of families of exceptional sets of type
$\tilde{\mathbb{A}}$ with straight orientation.