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Distributed rewiring model for complex networking: The effect of local rewiring rules on final structural properties.
Magali Alexander López Chavira1, Ricardo Marcelín-Jiménez1
1Department of Electrical Engineering, Universidad Autónoma Metropolitana, Iztapalapa, Mexico City, Mexico.
This study introduces a distributed rewiring model for complex networks. The model enhances network properties like reduced diameter and increased clustering by allowing nodes to discover and create shortcuts.
Area of Science:
- Complex Networks
- Network Science
- Graph Theory
Background:
- Complex networks exhibit critical structural properties such as diameter and average path length.
- These properties influence system functionalities including fault tolerance, attack resilience, and routing efficiency.
- Understanding the evolutionary forces shaping network structure is crucial for various applications.
Purpose of the Study:
- To investigate the evolutionary forces that lead to the settlement of structural properties in complex networks.
- To propose and evaluate a distributed rewiring model for network topology modification.
- To explore the applicability of the model to Information and Communication Technologies (ICT) systems and other complex network scenarios.
Main Methods:
- Utilized a discrete event simulator to model network evolution.
- Implemented a distributed rewiring mechanism where nodes discover and create shortcuts to distant regions.
- Nodes locally optimize packet trajectories, leading to global topological changes.
Main Results:
- The distributed rewiring model successfully generated networks with characteristics similar to known complex networks.
- Observed a significant decrease in network diameter and an increase in the clustering coefficient compared to the initial graph.
- Demonstrated that subtle changes in local rewiring rules can lead to diverse final network structures.
Conclusions:
- A distributed, locally driven rewiring approach can effectively modify global network topology.
- The proposed model fosters the emergence of desirable complex network properties.
- The findings have implications for designing robust and efficient networks, particularly in ICT.
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