Invasion percolation and global optimization
Abstract
Description
Invasion bond percolation (IBP) is mapped exactly into Prim's algorithm for finding the shortest spanning tree of a weighted random graph. Exploring this mapping, which is valid for arbitrary dimensions and lattices, we introduce a new IBP model that belongs to the same universality class as IBP and generates the minimal energy tree spanning the IBP cluster.
4 pages, 3 Postscript figures avaliable from alb@nd.edu, REVTEX
4 pages, 3 Postscript figures avaliable from alb@nd.edu, REVTEX