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Scale-free networks are rare [PDF]
Nature Communications, 2019 Real-world networks are often said to be ”scale free”, meaning their degree distribution follows a power law. Broido and Clauset perform statistical tests of this claim using a large and diverse corpus of real-world networks, showing that scale-free ...
Anna D. Broido, Aaron Clauset
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Deterministic scale-free networks [PDF]
Physica A: Statistical Mechanics and its Applications, 2001 Scale-free networks are abundant in nature and society, describing such diverse systems as the world wide web, the web of human sexual contacts, or the chemical network of a cell. All models used to generate a scale-free topology are stochastic, that is they create networks in which the nodes appear to be randomly connected to each other.
Barabási, A.-L., Ravasz, E., Vicsek, T.
core +7 more sources
Resonant learning in scale-free networks. [PDF]
PLoS Computational Biology, 2023 Large networks of interconnected components, such as genes or machines, can coordinate complex behavioral dynamics. One outstanding question has been to identify the design principles that allow such networks to learn new behaviors.
Samuel Goldman +2 more
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Conflict Dynamics in Scale-Free Networks with Degree Correlations and Hierarchical Structure [PDF]
Entropy, 2022 We present a study of the dynamic interactions between actors located on complex networks with scale-free and hierarchical scale-free topologies with assortative mixing, that is, correlations between the degree distributions of the actors.
Eduardo Jacobo-Villegas +3 more
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Excitable scale free networks [PDF]
The European Physical Journal B, 2007 When a simple excitable system is continuously stimulated by a Poissonian external source, the response function (mean activity versus stimulus rate) generally shows a linear saturating shape. This is experimentally verified in some classes of sensory neurons, which accordingly present a small dynamic range (defined as the interval of stimulus ...
Copelli, M., Campos, P. R. A.
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Scale-Free Networks Are Ultrasmall [PDF]
Physical Review Letters, 2003 Latex, 4 pages, 2 eps figures, small corrections, added ...
Cohen, Reuven, Havlin, Shlomo
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Emergent scale-free networks. [PDF]
PNAS NexusAbstract Many complex systems—from the Internet to social, biological, and communication networks—are thought to exhibit scale-free structure. However, prevailing explanations require that networks grow over time, an assumption that fails in some real-world settings.
Lynn CW, Holmes CM, Palmer SE.
europepmc +5 more sources
Nucleation in scale-free networks [PDF]
Physical Review E, 2011 We have studied nucleation dynamics of the Ising model in scale-free networks with degree distribution $P(k)\sim k^{- }$ by using forward flux sampling method, focusing on how the network topology would influence the nucleation rate and pathway. For homogeneous nucleation, the new phase clusters grow from those nodes with smaller degree, while the ...
Chen, Hanshuang +3 more
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A general model of hierarchical fractal scale-free networks. [PDF]
PLoS ONE, 2022 We propose a general model of unweighted and undirected networks having the scale-free property and fractal nature. Unlike the existing models of fractal scale-free networks (FSFNs), the present model can systematically and widely change the network ...
Kousuke Yakubo, Yuka Fujiki
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Scale-free networks well done [PDF]
Physical Review Research, 2019 We bring rigor to the vibrant activity of detecting power laws in empirical degree distributions in real-world networks. We first provide a rigorous definition of power-law distributions, equivalent to the definition of regularly varying distributions ...
Ivan Voitalov +3 more
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