  We study random walks on the dilute hypercube using an exact enumeration
Master equation technique, which is much more efficient than Monte Carlo
methods for this problem. For each dilution $p$ the form of the relaxation of
the memory function $q(t)$ can be accurately parametrized by a stretched
exponential $q(t)=\exp(-(t/\tau)^\beta)$ over several orders of magnitude in
$q(t)$. As the critical dilution for percolation $p_c$ is approached, the time
constant $\tau(p)$ tends to diverge and the stretching exponent $\beta(p)$
drops towards 1/3. As the same pattern of relaxation is observed in wide class
of glass formers, the fractal like morphology of the giant cluster in the
dilute hypercube is a good representation of the coarse grained phase space in
these systems. For these glass formers the glass transition can be pictured as
a percolation transition in phase space.
