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Rapid algorithm for identifying backbones in the two-dimensional percolation model

Wei-Guo Yin·Ruibao Tao
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Abstract

We present a rapid algorithm for identifying the current-carrying backbone in the percolation model. It applies to general two-dimensional graphs with open boundary conditions. Complemented by the modified Hoshen-Kopelman cluster labeling algorithm, our algorithm identifies dangling parts using their local properties. For planar graphs, it finds the backbone almost four times as fast as Tarjan's depth-first-search algorithm, and uses the memory of the same size as the modified Hoshen-Kopelman algorithm. Comparison with other algorithms for backbone identification is addressed.

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Wei-Guo Yin, Ruibao Tao. 2001-01-15. Rapid algorithm for identifying backbones in the two-dimensional percolation model. https://doi.org/10.1142/s0129183103005509

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