Spatial models for spread of an epidemic may be mapped onto bond percolation. We point out that with disorder in the … epidemic outbreak depends strongly on the disorder because the critical region of the corresponding percolation model is … broadened. In some networks the percolation threshold is zero if another kind of disorder is present, namely divergent …

We study the very long-range bond-percolation problem on a linear chain with both node and bond dilution. Very long … the percolation, and node dilution which weakens percolation. The case α=0 with ps=1 is well-known, being the exactly … solvable mean-field model. The percolation order parameter P∞ is investigated numerically for different values of α, ps and ρ …

topologically similar to random graphs. Percolation on these networks is numerically studied for systems of up to 107 sites. The …

k-cliques. We present the basic features of the associated percolation transition of overlapping k-cliques. After …

statistical distributions of damage spreading near the percolation transition obey power-laws, and dynamical correlations between …