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Rapid Algorithm For Identifying Backbones In The Two-Dimensional Percolation Model

Author

Listed:
  • WEI-GUO YIN

    (Department of Physics, Fudan University, Shanghai 200433, People's Republic of China)

  • RUIBAO TAO

    (Department of Physics, Fudan University, Shanghai 200433, People's Republic of China;
    CCAST (World Laboratory), P. O. Box 8730, Beijing 100080, People's Republic of China)

Abstract

We present a rapid algorithm for identifying the current-carrying backbone in the two-dimensional percolation model. Taking advantage of 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 the commonly-used Tarjan's depth-first-search algorithm. Comparison with other algorithms for backbone identification is also addressed.

Suggested Citation

  • Wei-Guo Yin & Ruibao Tao, 2003. "Rapid Algorithm For Identifying Backbones In The Two-Dimensional Percolation Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(10), pages 1427-1437.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:10:n:s0129183103005509
    DOI: 10.1142/S0129183103005509
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