  In 2003, Fomin and Zelevinsky proved that finite type cluster algebras can be
classified by Dynkin diagrams. Then in 2013, Barot and Marsh defined the
presentation of a reflection group associated to a Dynkin diagram in terms of
an edge-weighted, oriented graph, and proved that this group is invariant (up
to isomorphism) under diagram mutations. In this paper, we extend Barot and
Marsh's results to Artin group presentations, defining new generator relations
and showing mutation-invariance for these presentations.
