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Clustering spectrum of scale-free networks.
- Source :
-
Physical Review E . Oct2017, Vol. 96 Issue 4, p1-1. 1p. - Publication Year :
- 2017
-
Abstract
- Real-world networks often have power-law degrees and scale-free properties, such as ultrasmall distances and ultrafast information spreading. In this paper, we study a third universal property: three-point correlations that suppress the creation of triangles and signal the presence of hierarchy. We quantify this property in terms of c(k), the probability that two neighbors of a degree-k node are neighbors themselves. We investigate how the clustering spectrum k ↦ c(k) scales with k in the hidden-variable model and show that c(k) follows a universal curve that consists of three k ranges where c(k) remains flat, starts declining, and eventually settles on a power-law c(k) ~ k-α with α depending on the power law of the degree distribution. We test these results against ten contemporary real-world networks and explain analytically why the universal curve properties only reveal themselves in large networks. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24700045
- Volume :
- 96
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Physical Review E
- Publication Type :
- Academic Journal
- Accession number :
- 128015444
- Full Text :
- https://doi.org/10.1103/PhysRevE.96.042309