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Practical counting of substitutive paths on a planar infrastructure network
Yukio Hayashi1, Atsushi Tanaka2
1Japan Advanced Institute of Science and Technology, Graduate School of Advanced Institute of Science and Technology, Nomi, 923-1292, Japan. yhayashi@jaist.ac.jp.
Scientific Reports
|August 29, 2022
Summary
Fault-tolerant networks have many non-intersecting paths, crucial for infrastructure resilience against disasters. This study introduces a practical method to count these paths, improving risk management strategies.
Area of Science:
- Network science
- Graph theory
- Computer science
Background:
- Fault tolerance in networks is vital for infrastructure resilience.
- Non-intersecting paths enhance network robustness against failures or attacks.
- Enumerating these paths is computationally challenging.
Purpose of the Study:
- To develop a practical method for counting non-intersecting paths in networks.
- To assess the fault tolerance of socio-technological infrastructure networks.
- To provide a tool for risk management and improving network resilience.
Main Methods:
- Developed a mapping from planar networks to directed acyclic graphs.
- Applied a path matrix counting method to enumerate non-intersecting paths.
- Utilized computer simulations for analysis on realistic network models.
Main Results:
- The proposed method effectively approximates the number of non-intersecting paths.
- Computer simulations demonstrated the tendency of path combinations in realistic networks.
- The approach provides insights into network fault tolerance and substitutive path existence.
Conclusions:
- The developed counting method offers a practical solution for assessing network fault tolerance.
- This approach aids in evaluating the potential for substitutive paths in risk management.
- Enhancing fault tolerance through understanding non-intersecting paths is crucial for resilient infrastructure.
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