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Related Concept Videos

Protein Networks02:26

Protein Networks

An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
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Directing Effect of Substituents: meta-Directing Groups01:09

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Related Experiment Video

Updated: Jul 4, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain
05:55

Modeling the Functional Network for Spatial Navigation in the Human Brain

Published on: October 13, 2023

Local structure of directed networks.

Ginestra Bianconi1, Natali Gulbahce, Adilson E Motter

  • 1The Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy.

Physical Review Letters
|June 4, 2008
PubMed
Summary
This summary is machine-generated.

Directed networks, unlike undirected ones, surprisingly show fewer short loops than random models. This study develops a theory to understand loop density in directed networks, impacting their structure and dynamics.

Related Experiment Videos

Last Updated: Jul 4, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain
05:55

Modeling the Functional Network for Spatial Navigation in the Human Brain

Published on: October 13, 2023

Area of Science:

  • Network science
  • Complex systems analysis
  • Graph theory

Background:

  • Previous research on undirected small-world networks linked local structure to high short-loop density.
  • Many real-world networks are directed, necessitating a distinct analytical approach.
  • Understanding local organization is key to network function.

Purpose of the Study:

  • To investigate the local organization of directed networks.
  • To determine if directed networks exhibit a high or low density of short loops compared to random models.
  • To develop a theoretical framework for analyzing loop density in directed networks.

Main Methods:

  • Analysis of local organization in directed networks.
  • Comparison of loop density in real directed networks versus randomized network models.
  • Development of a theoretical framework and derivation of conditions for loop density comparison.

Main Results:

  • Real-world directed networks surprisingly contain fewer short loops than expected by random models.
  • A theoretical framework was developed to predict loop density relative to random counterparts.
  • Conditions were derived to identify networks with significantly more or fewer short loops.

Conclusions:

  • The local organization of directed networks differs significantly from undirected networks regarding short loops.
  • The developed theory provides a method to assess loop density deviations from randomness in directed networks.
  • Findings have broad implications for understanding structural and dynamical processes in directed networks.