Minimal spanning tree and percolation on mosaics: graph theory and percolation
1999
Graph theory, through the minimal spanning tree (MST), is used to determine site percolation thresholds related to 2D regular lattices. It is shown that there is a direct relation between and a geometrical parameter characterizing the lattices. Moreover, the methodology developed in this paper makes it possible to study long-range percolation in an efficient way.
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