  We study the classical limit of the ELPR/FK spin foam models by analyzing the
large-distance asymptotics of the corresponding graviton propagators. This is
done by examining the large-spin asymptotics of the Hartle-Hawking wavefunction
which is peaked around a classical flat spatial geometry. By using the
stationary phase method we determine the wavefunction asymptotics. The obtained
asymptotics does not give the desired large-distance asymptotics for the
corresponding graviton propagator. However, we show that the ELPR/FK vertex
amplitude can be redefined such that the corresponding Hartle-Hawking
wavefunction gives the desired asymptotics for the graviton propagator.
