707 citations · 1.5k across the 11 of their papers we have counts for
6 papers · 1 filter
Random Sequential Renormalization of Networks I: Application to Critical Trees
Golnoosh Bizhani, Vishal Sood, Maya Paczuski +1
We introduce the concept of Random Sequential Renormalization (RSR) for arbitrary networks. RSR is a graph renormalization procedure that locally aggregates nodes to produce a coar…
Random sampling vs. exact enumeration of attractors in random Boolean networks
Andrew Berdahl, Amer Shreim, Vishal Sood +2
We clarify the effect different sampling methods and weighting schemes have on the statistics of attractors in ensembles of random Boolean networks (RBNs). We directly measure cycl…
Complex Network Analysis of State Spaces for Random Boolean Networks
Amer Shreim, Andrew Berdahl, Vishal Sood +2
We apply complex network analysis to the state spaces of random Boolean networks (RBNs). An RBN contains Boolean elements each with inputs. A directed state space network (…
Localization Transition of Biased Random Walks on Random Networks
Vishal Sood, Peter Grassberger
We study random walks on large random graphs that are biased towards a randomly chosen but fixed target node. We show that a critical bias strength b_c exists such that most walks…
Voter Model on Heterogeneous Graphs
V. Sood, S. Redner
We study the voter dynamics model on heterogeneous graphs. We exploit the non-conservation of the magnetization to characterize how consensus is reached on networks with different…
First Passage Properties of the Erdos-Renyi Random Graph
V. Sood, S. Redner, D. ben-Avraham
We study the mean time for a random walk to traverse between two arbitrary sites of the Erdos-Renyi random graph. We develop an effective medium approximation that predicts that th…