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Percolation Theory on Interdependent Networks Based on Epidemic Spreading
Seung-Woo Son, Golnoosh Bizhani, Claire Christensen +2
We consider percolation on interdependent locally treelike networks, recently introduced by Buldyrev et al., Nature 464, 1025 (2010), and demonstrate that the problem can be simpli…
Are Percolation Transitions always Sharpened by Making Networks Interdependent?
Seung-Woo Son, Peter Grassberger, Maya Paczuski
We study a model for coupled networks introduced recently by Buldyrev et al., Nature 464, 1025 (2010), where each node has to be connected to others via two types of links to be vi…
Exact solutions for mass-dependent irreversible aggregations
Seung-Woo Son, Claire Christensen, Golnoosh Bizhani +2
We consider the mass-dependent aggregation process (k+1)X -> X, given a fixed number of unit mass particles in the initial state. One cluster is chosen proportional to its mass and…