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Efficiency of informational transfer in regular and complex networks
I Vragović1, E Louis, A Díaz-Guilera
1Departamento de Física Aplicada, Instituto Universitario de Materiales and Unidad Asociada CSIC-UA, Universidad de Alicante, E-03080 Alicante, Spain.
Summary
This study introduces a new method to measure network efficiency in complex systems, finding that even nonclustered networks can be highly efficient, especially in transportation systems.
Area of Science:
- Network Science
- Information Theory
- Complex Systems Analysis
Background:
- Informational exchange is crucial in complex networks.
- Existing efficiency measures may not fully capture nonclustered systems.
Purpose of the Study:
- To propose a modified local efficiency measure for complex networks.
- To analyze efficiency in nonclustered and small-world network topologies.
- To characterize weighted networks, including real-world transportation systems.
Main Methods:
- Modification of network efficiency measures for local analysis.
- Application to declustered and small-world network extensions.
- Analysis of unweighted and weighted network systems.
- Examination of urban underground transportation networks.
Main Results:
- Declustered networks exhibit high local efficiency despite near-zero clustering.
- Small-world and scale-free networks are both globally and locally efficient.
- The proposed method effectively characterizes weighted networks, including transportation systems.
Conclusions:
- Local network efficiency is a valuable metric, particularly for systems with low clustering.
- The findings have implications for understanding and optimizing complex information exchange systems.
- The analysis provides new insights into the efficiency of urban transit networks.