NPAC Technical Report SCCS-103

A Multi-Grid Cluster Labeling Scheme

J Apostolakis, P Coddington, E Marinari

Submitted June 6 1991


Abstract

We introduce a simple multi-scale algorithm for connected component labeling on parallel computers, which we apply to the problem of labeling clusters in spin and percolation models. We show that it is only logarithmically slowed down in the critical limit of bond percolation and the Ising model. We also discuss, in light of the proposed Teraflop computers optimized for lattice gauge theories and other lattice problems, the minimum requirements for simple computer switchboard architectures for which one can efficiently implement multi-scale algorithms to fight critical slowing down.


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