Complexity of Voronoi diagrams of lines in three dimensions
Determine the worst-case combinatorial complexity of the Euclidean Voronoi diagram of lines in . In particular, can its complexity be bounded by for every fixed ?
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Problem statement
Determine the worst-case combinatorial complexity of the Euclidean Voronoi diagram of lines in . In particular, can its complexity be bounded by for every fixed ?
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Background
Editorial selection inspected on 9 September 2026. Current research status has not been independently reassessed; consult the original source and subsequent literature.
- [1]The Open Problems Project — Computational geometry: Complexity of Voronoi diagrams of lines in three dimensions (inspected 2026-09-09) link
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