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Hoshen–Kopelman algorithm

The Hoshen–Kopelman algorithm is a simple and efficient algorithm for labeling clusters on a grid, where the grid is a regular network of cells, with the cells being either occupied or unoccupied. This algorithm is based on a well-known union-finding algorithm. The algorithm was originally described by Joseph Hoshen and Raoul Kopelman in their 1976 paper…

Applications, Percolation theory & Hoshen–Kopelman algorithm for cluster finding

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Nodal Connectivity InformationElectrical conduction
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Percolation theory

Percolation theoryStatisticsLatticesProbability4-connected neighborhood
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Hoshen–Kopelman algorithm for cluster finding

Raster scanUnion-Find Algorithm
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Percolation theory

Hoshen–Kopelman algorithm for cluster finding

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Hoshen–Kopelman algorithm

Nodes21
Edges20
Triples1
Avg. degree1.9
Density0.095238
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Hoshen–Kopelman algorithm

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Hoshen–Kopelman algorithm → simple and efficient algorithm for labeling clusters on a grid

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Important terminology

grid cell occupied algorithm label cells unoccupied left check cluster assign labeled clusters new andgrid labeling percolation hoshen kopelman neighbors

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Hoshen–Kopelman algorithmis asimple and efficient algorithm for labeling clusters on a grid0.90text

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