2-dimensional array representation (Closest Pair Problem)
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Description
Given $n$ points in 2-dimensional space in array representation, find a pair of points with the smallest distance between them.
Related Problems
Related: k-dimensional space, $l_m$ (or $l_\infty$) norm, 2-dimensional space, $l_m$ (or $l_\infty$) norm, 2-dimensional space, Euclidean metric
Parameters
$n$: number of points
$k$: dimension of space
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Khuller; Matias | 1995 | $O(n)$ | $O(n)$, not sure if this is auxiliary | Exact | Randomized | Time & Space |
| Dyer | 1980 | $O(n)$ using $O(n^{2})$ processors | $O(n^{2})$ | Exact | Parallel | Time & Space |