This paper proposes a new algorithm for identifying backbones in the application of percolation theory. This algorithm is based on the current-carrying definition of backbone and is carried out on the predetermined spanning cluster. It is fairly easy to implement and further parallelize. The efficiency is enhanced by the fact that the conductivity of a percolating system can be obtained in the same processing of backbone identification. The critical exponents of backbone mass, red bonds (sites) and conductivity obtained by this algorithm are in very good agreement with the existing results.
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Li et al. (2007) studied this question.
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