  The complex structure of a surface generated by the two-dimensional dynamical
triangulation(DT) is determined by measuring the resistivity of the surface. It
is found that surfaces coupled to matter fields have well-defined complex
structures for cases when the matter central charges are less than or equal to
one, while they become unstable beyond c=1. A natural conjecture that fine
planar random network of resistors behave as a continuous sheet of constant
resistivity is justified numerically for c<1.
