Journal of Statistical Physics, VoL 46, Nos. 3/4, 1987, p. 507-515.
A new algorithm is presented, based on elements of artificial intelligence theory,
to determine the fractal properties of the backbone of the incipient infinite
cluster. It is found that the fractal dimensionality of the backbone is
d~ B= 1.61 Jr• 0.01, the chemical dimensionality is dt = 1.40 + 0.01, and the fractal
dimension of the minimum path dm~n=l.15_+0.02 for the two-dimensional
triangular lattice.