4.5k citations · 5.5k across the 21 of their papers we have counts for
21 papers
Catastrophic Cascade of Failures in Interdependent Networks
S. Havlin, N. A. M. Araujo, S. V. Buldyrev +4
Modern network-like systems are usually coupled in such a way that failures in one network can affect the entire system. In infrastructures, biology, sociology, and economy, system…
Catastrophic cascade of failures in interdependent networks
Sergey V. Buldyrev, Roni Parshani, Gerald Paul +2
Many systems, ranging from engineering to medical to societal, can only be properly characterized by multiple interdependent networks whose normal functioning depends on one anothe…
Betweenness Centrality of Fractal and Non-Fractal Scale-Free Model Networks and Tests on Real Networks
Maksim Kitsak, Shlomo Havlin, Gerald Paul +3
We study the betweenness centrality of fractal and non-fractal scale-free network models as well as real networks. We show that the correlation between degree and betweenness centr…
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…
Percolation theory applied to measures of fragmentation in social networks
Yiping Chen, Gerald Paul, Reuven Cohen +4
We apply percolation theory to a recently proposed measure of fragmentation for social networks. The measure is defined as the ratio between the number of pairs of nodes th…
A Complexity O(1) Priority Queue for Event Driven Molecular Dynamics Simulations
Gerald Paul
We propose and implement a priority queue suitable for use in event driven molecular dynamics simulations. All operations on the queue take on average O(1) time per collision. In c…