Structure of shells in complex networks

J Shao, SV Buldyrev, LA Braunstein, S Havlin… - Physical Review E …, 2009 - APS
We define shell ℓ in a network as the set of nodes at distance ℓ with respect to a given node
and define r ℓ as the fraction of nodes outside shell ℓ. In a transport process, information or …

Network Synchronization in a Noisy Environment with Time Delays:<? format?> Fundamental Limits and Trade-Offs

D Hunt, G Korniss, BK Szymanski - Physical review letters, 2010 - APS
We study the effects of nonzero time delays in stochastic synchronization problems with
linear couplings in an arbitrary network. Using the known exact threshold value from the …

Network coordination and synchronization in a noisy environment with time delays

D Hunt, BK Szymanski, G Korniss - … Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
We study the effects of nonzero time delays in stochastic synchronization problems with
linear couplings in complex networks. We consider two types of time delays: transmission …

Extreme fluctuations in stochastic network coordination with time delays

D Hunt, F Molnár Jr, BK Szymanski, G Korniss - Physical Review E, 2015 - APS
We study the effects of uniform time delays on the extreme fluctuations in stochastic
synchronization and coordination problems with linear couplings in complex networks. We …

Jamming in complex networks with degree correlation

ALP y Piontti, LA Braunstein, PA Macri - Physics Letters A, 2010 - Elsevier
We study the effects of the degree–degree correlations on the pressure congestion J when
we apply a dynamical process on scale free complex networks using the gradient network …

Conservative model for synchronization problems in complex networks

CE La Rocca, LA Braunstein, PA Macri - Physical Review E—Statistical …, 2009 - APS
In this paper we study the scaling behavior of the interface fluctuations (roughness) for a
discrete model with conservative noise on complex networks. Conservative noise is a noise …

Competition between surface relaxation and ballistic deposition models in scale-free networks

CE La Rocca, PA Macri, LA Braunstein - Europhysics Letters, 2013 - iopscience.iop.org
In this paper we study the scaling behavior of the fluctuations in the steady state WS with the
system size N for a surface growth process given by the competition between the surface …

Optimizing synchronization, flow, and robustness in weighted complex networks

G Korniss, R Huang, S Sreenivasan… - … of Optimization in …, 2012 - Springer
Complex biological, social, and technological systems can be often modeled by weighted
networks. The network topology, together with the distribution of available link or node …

Synchronization in scale-free networks: The role of finite-size effects

D Torres, MA Di Muro, CE La Rocca… - Europhysics …, 2015 - iopscience.iop.org
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Synchronization in interacting scale-free networks

MF Torres, MA Di Muro, CE La Rocca… - Europhysics …, 2015 - iopscience.iop.org
We study the fluctuations of the interface, in the steady state, of the Surface Relaxation
Model (SRM) in two scale-free interacting networks where a fraction q of nodes in both …