  Recent attempts to recover the graviton propagator from spin foam models
involve the use of a boundary quantum state peaked on a classical geometry. The
question arises whether beyond the case of a single simplex this suffices for
peaking the interior geometry in a semiclassical configuration. In this paper
we explore this issue in the context of quantum Regge calculus with a general
triangulation. Via a stationary phase approximation, we show that the boundary
state succeeds in peaking the interior in the appropriate configuration, and
that boundary correlations can be computed order by order in an asymptotic
expansion. Further, we show that if we replace at each simplex the exponential
of the Regge action by its cosine -- as expected from the semiclassical limit
of spin foam models -- then the contribution from the sign-reversed terms is
suppressed in the semiclassical regime and the results match those of
conventional Regge calculus.
