Complementary algorithms for graphs and percolation

@article{Lee2007ComplementaryAF,
  title={Complementary algorithms for graphs and percolation},
  author={Michael J. Lee},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2007},
  volume={76 2 Pt 2},
  pages={027702}
}
A pair of complementary algorithms are presented. One of the pair is a fast method for connecting graphs with an edge. The other is a fast method for removing edges from a graph. Both algorithms employ the same tree-based graph representation and so, in concert, can arbitrarily modify any graph. Since the clusters of a percolation model may be described as simple connected graphs, an efficient Monte Carlo scheme can be constructed which uses the algorithms to sweep the occupation probability… CONTINUE READING

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