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Monte Carlo simulation conductivity calculations for the honeycomb random site resistor lattice have been performed for lattice sizes from 200*200 at higher site fractions up to 1400*1400 near percolation. Lattice conductivity curves were compared with EMT results, also backbone beta '=0.38+or-0.02 and conductivity t=1.27+or-0.04 critical exponents were obtained.
Li et al. (Mon,) studied this question.