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Cluster counting: The Hoshen-Kopelman algorithm vs. spanning tree approaches

F. Babalievski
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Abstract

Two basic approaches to the cluster counting task in the percolation and related models are discussed. The Hoshen-Kopelman multiple labeling technique for cluster statistics is redescribed. Modifications for random and aperiodic lattices are sketched as well as some parallelised versions of the algorithm are mentioned. The graph-theoretical basis for the spanning tree approaches is given by describing the "breadth-first search" and "depth-first search" procedures. Examples are given for extracting the elastic and geometric "backbone" of a percolation cluster. An implementation of the "pebble game" algorithm using a depth-first search method is also described.

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F. Babalievski. 1997-11-27. Cluster counting: The Hoshen-Kopelman algorithm vs. spanning tree approaches. https://doi.org/10.1142/s0129183198000054

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