  We establish the tracial stability of a certain class of graph products of
C*-algebras. This result involves the development of the "pincushion class" of
finite graphs. We then apply this result in two ways. The first application
yields a selective version of Lin's Theorem for almost commuting operators. The
second application addresses some approximation properties of right-angled
Artin groups. In particular, we show that the full C*-algebra of any
right-angled Artin group is quasidiagonal and thus has a non-trivial amenable
trace, and then we apply tracial stability to show when these amenable traces
are in fact locally finite dimensional.
