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| Open AccessRare and everywhere: Perspectives on scale-free networks
Are scale-free networks rare or universal? Important or not? We present the recent research about degree distributions of networks. This is a controversial topic, but, we argue, with some adjustments of the terminology, it does not have to be.
- Petter Holme
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Article
| Open AccessScale-free networks are rare
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 structure is far from universal.
- Anna D. Broido
- & Aaron Clauset
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Power laws reveal phase transitions in landscape controls of fire regimes
Understanding the environmental controls of past wildfires is difficult due to the lack of records of weather or vegetation. This study shows, using cross-scale analysis, how power laws associated with fire-event time series can identify critical thresholds in landscape dynamics in a rapidly changing climate.
- Donald McKenzie
- & Maureen C. Kennedy