We study with Monte Carlo methods an ensemble of c = -5 gravity graphs , generated by coupling a conformal field theory with central charge c = -5 to two-dimensional quantum gravity .
We measure the fractal properties of the ensemble , such as the string susceptibility exponent \gamma _ { s } and the intrinsic fractal dimensions d _ { H } .
We find \gamma _ { s } = -1.5 ( 1 ) and d _ { H } = 3.36 ( 4 ) , in reasonable agreement with theoretical predictions .
In addition , we study the critical behavior of an Ising model on a quenched ensemble of the c = -5 graphs and show that it agrees , within numerical accuracy , with theoretical predictions for the critical behavior of an Ising model coupled dynamically to two-dimensional quantum gravity , provided the total central charge of the matter sector is c = -5 .
From this we conjecture that the critical behavior of the Ising model is determined solely by the average fractal properties of the graphs , the coupling to the geometry not playing an important role .