English

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

Computational Geometry 2025-06-10 v1

Abstract

We prove that the single-source shortest-path problem on disk graphs can be solved in O(nlogn)O(n\log n) time, and that it can be solved on intersection graphs of fat triangles in O(nlog2n)O(n\log^2 n) time.

Keywords

Cite

@article{arxiv.2506.07571,
  title  = {An $O(n\log n)$ Algorithm for Single-Source Shortest Paths in Disk Graphs},
  author = {Mark de Berg and Sergio Cabello},
  journal= {arXiv preprint arXiv:2506.07571},
  year   = {2025}
}

Comments

19 pages, 8 figures

R2 v1 2026-07-01T03:06:41.547Z