455 citations · 766 across the 17 of their papers we have counts for
4 papers · 1 filter
Network Analysis of the State Space of Discrete Dynamical Systems
Amer Shreim, Peter Grassberger, Walter Nadler +3
We study networks representing the dynamics of elementary 1-d cellular automata (CA) on finite lattices. We analyze scaling behaviors of both local and global network properties as…
Link and subgraph likelihoods in random undirected networks with fixed and partially fixed degree sequence
Jacob G. Foster, David V. Foster, Peter Grassberger +1
The simplest null models for networks, used to distinguish significant features of a particular network from {\it a priori} expected features, are random ensembles with the degree…
Coexistence of Self-Organized Criticality and Intermittent Turbulence in the Solar Corona
Vadim M. Uritsky, Maya Paczuski, Joseph M. Davila +1
An extended data set of extreme ultraviolet images of the solar corona provided by the SOHO spacecraft are analyzed using statistical methods common to studies of self-organized cr…
Subgraph Ensembles and Motif Discovery Using a New Heuristic for Graph Isomorphism
Kim Baskerville, Maya Paczuski
A new heuristic based on vertex invariants is developed to rapidly distinguish non-isomorphic graphs to a desired level of accuracy. The method is applied to sample subgraphs from…