18 citations · 42 across the 4 of their papers we have counts for
5 papers
The Impact of Imperfect Information on Network Attack
Andrew Melchionna, Jesus Caloca, Shane Squires +3
This paper explores the effectiveness of network attack when the attacker has imperfect information about the network. For Erdős-Rényi networks, we observe that dynamical importanc…
Spatially embedded growing small-world networks
Ari Zitin, Alex Gorowora, Shane Squires +4
Networks in nature are often formed within a spatial domain in a dynamical manner, gaining links and nodes as they develop over time. We propose a class of spatially-based growing…
Stability of Boolean networks: The joint effects of topology and update rules
Shane Squires, Andrew Pomerance, Michelle Girvan +1
We study the stability of orbits in large Boolean networks with given complex topology. We impose no restrictions on the form of the update rules, which may be correlated with loca…
Weakly Explosive Percolation in Directed Networks
Shane Squires, Katherine Sytwu, Diego Alcala +3
Percolation, the formation of a macroscopic connected component, is a key feature in the description of complex networks. The dynamical properties of a variety of systems can be un…
Dynamical Instability in Boolean Networks as a Percolation Problem
Shane Squires, Edward Ott, Michelle Girvan
Boolean networks, widely used to model gene regulation, exhibit a phase transition between regimes in which small perturbations either die out or grow exponentially. We show and nu…