8 papers
PageRank and rank-reversal dependence on the damping factor
Seung-Woo Son, Claire Christensen, Peter Grassberger +1
PageRank (PR) is an algorithm originally developed by Google to evaluate the importance of web pages. Considering how deeply rooted Google's PR algorithm is to gathering relevant i…
Sampling properties of directed networks
Seung-Woo Son, Claire Christensen, Golnoosh Bizhani +3
For many real-world networks only a small "sampled" version of the original network may be investigated; those results are then used to draw conclusions about the actual system. Va…
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…
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…
Explosive Percolation is Continuous, but with Unusual Finite Size Behavior
Peter Grassberger, Claire Christensen, Golnoosh Bizhani +2
We study four Achlioptas type processes with "explosive" percolation transitions. All transitions are clearly continuous, but their finite size scaling functions are not entire hol…
Agglomerative Percolation in Two Dimensions
Claire Christensen, Golnoosh Bizhani, Seung-Woo Son +2
We study a process termed "agglomerative percolation" (AP) in two dimensions. Instead of adding sites or bonds at random, in AP randomly chosen clusters are linked to all their nei…