  We perform extensive Monte Carlo simulations of the 10-state Potts model on
quenched two-dimensional $\Phi^3$ gravity graphs to study the effect of
quenched connectivity disorder on the phase transition, which is strongly first
order on regular lattices. The numerical data provides strong evidence that,
due to the quenched randomness, the discontinuous first-order phase transition
of the pure model is softened to a continuous transition.
