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arXiv · 2502.16714

Planar Network Diversion

Matthias Bentert·Pål Grønås Drange·Fedor V. Fomin·Steinar Simonnes
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Abstract

Network Diversion is a graph problem that has been extensively studied in both the network-analysis and operations-research communities as a measure of how robust a network is against adversarial disruption. This problem is especially well motivated in transportation networks, which are often assumed to be planar. Motivated by this and recent theoretical advances for Network Diversion on planar input graphs, we develop a fast O(n log n) time algorithm and present a practical implementation of this algorithm that is able to solve instances with millions of vertices in a matter of seconds.

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Matthias Bentert, Pål Grønås Drange, Fedor V. Fomin, Steinar Simonnes. 2025-02-23. Planar Network Diversion. https://arxiv.org/abs/2502.16714

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