Abstract
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 isd BBf =1.61±0.01, the chemical dimensionality isd t=1.40±0.01, and the fractal dimension of the minimum pathd min=1.15 ± 0.02 for the two-dimensional triangular lattice.
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Laidlaw, D., MacKay, G. & Jan, N. Some fractal properties of the percolating backbone in two dimensions. J Stat Phys 46, 507–515 (1987). https://doi.org/10.1007/BF01013371
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DOI: https://doi.org/10.1007/BF01013371