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Related Concept Videos

Weighted Mean00:57

Weighted Mean

While taking the arithmetic, geometric, or harmonic mean of a sample data set, equal importance is assigned to all the data points. However, all the values may not always be equally important in some data sets. An intrinsic bias might make it more important to give more weightage to specific values over others.
For example, consider the number of goals scored in the matches of a tournament. While computing the average number of goals scored in the tournament, it may be more important to...
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.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
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.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
Sequence Networks of Rotating Machines01:24

Sequence Networks of Rotating Machines

A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
Distributed Loads: Problem Solving01:21

Distributed Loads: Problem Solving

Beams are structural elements commonly employed in engineering applications requiring different load-carrying capacities. The first step in analyzing a beam under a distributed load is to simplify the problem by dividing the load into smaller regions, which allows one to consider each region separately and calculate the magnitude of the equivalent resultant load acting on each portion of the beam. The magnitude of the equivalent resultant load for each region can be determined by calculating...
Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...

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Related Experiment Video

Updated: May 26, 2026

Divergence of Root Microbiota in Different Habitats based on Weighted Correlation Networks
09:49

Divergence of Root Microbiota in Different Habitats based on Weighted Correlation Networks

Published on: September 25, 2021

Finding communities in weighted networks through synchronization.

Xuyang Lou1, Johan A K Suykens

  • 1Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, China. Xuyang.Lou@gmail.com

Chaos (Woodbury, N.Y.)
|January 10, 2012
PubMed
Summary
This summary is machine-generated.

We present a new local weight ratio scheme to detect community structures in weighted networks. This method reveals connections between network communities and synchronization dynamics, applicable to both synthetic and real-world data.

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Area of Science:

  • Complex Networks Analysis
  • Network Science
  • Systems Biology

Background:

  • Community detection in weighted networks is a significant challenge.
  • Understanding network structures is crucial for various scientific domains.

Purpose of the Study:

  • To introduce a novel local weight ratio scheme for community detection in weighted networks.
  • To explore the relationship between community structures and synchronization dynamics within the Kuramoto model.

Main Methods:

  • Developed a local weight ratio scheme considering link weights, density, and neighbor relationships.
  • Applied the scheme within the Kuramoto model to analyze synchronization time scales.
  • Investigated hierarchical structures in networks based on synchronization patterns.

Main Results:

  • The proposed scheme effectively identifies community structures in weighted networks.
  • Established a link between community structures and the dynamic time scales of synchronization.
  • Demonstrated the ability to unravel hierarchical network structures through synchronization processes.

Conclusions:

  • The local weight ratio scheme offers a robust method for community detection in weighted networks.
  • Synchronization dynamics provide insights into network hierarchy and community organization.
  • The approach is validated on diverse network types, including benchmark and real-world examples.