activity
19992007
most citedGraph Partitioning Induced Phase Transitions

10 citations · 10 across the 2 of their papers we have counts for

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5 papers · 1 filter

cond-mat.stat-mech200710 cited

Graph Partitioning Induced Phase Transitions

Gerald Paul, Reuven Cohen, Sameet Sreenivasan +2

We study the percolation properties of graph partitioning on random regular graphs with N vertices of degree . Optimal graph partitioning is directly related to optimal attack a…

cond-mat.stat-mech2005

Optimization of Network Robustness to Random Breakdowns

Gerald Paul, Sameet Sreenivasan, Shlomo Havlin +1

We study network configurations that provide optimal robustness to random breakdowns for networks with a given number of nodes and a given cost--which we take as the average nu…

cond-mat.stat-mech2005

Resilience of Complex Networks to Random Breakdown

Gerald Paul, Sameet Sreenivasan, H. Eugene Stanley

Using Monte Carlo simulations we calculate , the fraction of nodes which are randomly removed before global connectivity is lost, for networks with scale-free and bimodal degr…

cond-mat.stat-mech2001

Scaling of Cluster and Backbone Mass Between Two Lines in 3d Percolation

Luciano R. da Silva, Gerald Paul, Shlomo Havlin +2

We consider the cluster and backbone mass distributions between two lines of arbitrary orientations and lengths in porous media in three dimensions, and model the porous media by b…

cond-mat.stat-mech1999

Traveling time and traveling length for flow in porous media

Youngki Lee, Jose S. Andrade, Sergey V. Buldyrev +5

We study traveling time and traveling length for tracer dispersion in porous media. We model porous media by two-dimensional bond percolation, and we model flow by tracer particles…