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arXiv · 2506.07571

An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs

Mark de Berg·Sergio Cabello
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Abstract

We prove that the single-source shortest-path problem on disk graphs can be solved in $O(n\log n)$ time, and that it can be solved on intersection graphs of fat triangles in $O(n\log^2 n)$ time.

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Mark de Berg, Sergio Cabello. 2025-06-09. An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs. https://arxiv.org/abs/2506.07571

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