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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 (…
The predictability of letters in written english
Thomas Schürmann, Peter Grassberger
We show that the predictability of letters in written English texts depends strongly on their position in the word. The first letters are usually the least easy to predict. This ag…
Node similarity within subgraphs of protein interaction networks
Orion Penner, Vishal Sood, Gabe Musso +3
We propose a biologically motivated quantity, twinness, to evaluate local similarity between nodes in a network. The twinness of a pair of nodes is the number of connected, labeled…
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…
Graph animals, subgraph sampling and motif search in large networks
Kim Baskerville, Peter Grassberger, Maya Paczuski
We generalize a sampling algorithm for lattice animals (connected clusters on a regular lattice) to a Monte Carlo algorithm for `graph animals', i.e. connected subgraphs in arbitra…
Networks of Recurrent Events, a Theory of Records, and an Application to Finding Causal Signatures in Seismicity
J. Davidsen, P. Grassberger, M. Paczuski
We propose a method to search for signs of causal structure in spatiotemporal data making minimal a priori assumptions about the underlying dynamics. To this end, we generalize the…