  We investigate the non-self-averaging properties of the dynamics of Ising,
4-state Potts and 10-state Potts models in single-cluster Monte Carlo
simulations on quenched ensembles of planar, trivalent Phi3 random graphs,
which we use as an example of relevant quenched connectivity disorder.
  We employ a novel application of scaling techniques to the cumulative
probability distribution of the autocorrelation times for both the energy and
magnetisation in order to discern non-self-averaging. Although the specific
results discussed here are for quenched random graphs, the method has quite
general applicability.
