Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Scale-free networks with an exponent less than two.

Hamed Seyed-Allaei1, Ginestra Bianconi, Matteo Marsili

  • 1International School for Advanced Studies, via Beirut 4, 34014 Trieste, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 23, 2006
PubMed
Summary

This study examines scale-free networks with a degree distribution exponent gamma < 2. These networks exhibit faster link growth and small-world properties, differing from those with gamma > 2.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Lost in Retraining: Closed-Loop Learning and Model Collapse in Exponential Families.

Physical review letters·2026
Same author

Designing topological cluster synchronization patterns with the Dirac operator.

Physical review. E·2026
Same author

Triadic percolation on multilayer networks.

Physical review. E·2026
Same author

Neighbourhood topology unveils pathological hubs in the brain networks of epilepsy-surgery patients.

Brain communications·2025
Same author

Mining higher-order triadic interactions.

Nature communications·2025
Same author

Beyond holography: The entropic quantum gravity foundations of anisotropic diffusion.

Physical review. E·2025

Area of Science:

  • Network science
  • Graph theory
  • Statistical physics

Background:

  • Scale-free networks are prevalent in various systems.
  • Networks with degree distribution exponent gamma < 2 exhibit extremely skewed degree distributions.
  • These networks differ significantly from those with gamma > 2.

Purpose of the Study:

  • To investigate the properties of scale-free simple graphs with gamma < 2.
  • To analyze a prototype model exhibiting these properties.
  • To provide a detailed analytical investigation of these networks.

Main Methods:

  • Analysis of scale-free simple graphs.
  • Degree distribution exponent analysis (gamma < 2).
  • Development and investigation of a prototype network model.

Related Experiment Videos

Main Results:

  • Networks with gamma < 2 show link growth exceeding node growth.
  • These networks possess the small-world property.
  • Network diameter increases logarithmically with size; clustering coefficient remains finite.

Conclusions:

  • Scale-free networks with gamma < 2 have distinct properties compared to those with gamma > 2.
  • A prototype model successfully replicates these observed network characteristics.
  • The findings offer insights into the structure and behavior of highly skewed networks.