Logarithmic dynamic nearest-neighbor queries in the plane
Can a data structure maintain planar points under insertion and deletion, and return the Euclidean nearest neighbor of any query point, with time for each operation? Specify whether update guarantees are amortized or worst-case.
Inferred from the community field; finer classification has not been reviewed.
Problem statement
Can a data structure maintain planar points under insertion and deletion, and return the Euclidean nearest neighbor of any query point, with time for each operation? Specify whether update guarantees are amortized or worst-case.
Lean 4
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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: Logarithmic dynamic nearest-neighbor queries in the plane (inspected 2026-09-09) link
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