MPI-INF/SWS Research Reports 1991-2021
2. Number - All Departments
MPI-I-92-118
Enumerating the k closest pairs mechanically
Smid, Michiel and Lenhof, Hans-Peter
May 1992, 12 pages.
.Status: available - back from printing
Let $S$ be a set of $n$ points in $D$-dimensional space, where
$D$ is a constant,
and let $k$ be an integer between $1$ and $n \choose 2$.
An algorithm is given that computes the $k$ closest pairs
in the set $S$ in $O(n \log n + k)$ time, using $O(n+k)$
space. The algorithm fits
in the algebraic decision tree model and is,
therefore, optimal.
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MPI-I-92-118.pdf
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URL to this document: https://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1992-118
BibTeX@TECHREPORT{SmidLenhof92,
AUTHOR = {Smid, Michiel and Lenhof, Hans-Peter},
TITLE = {Enumerating the k closest pairs mechanically},
TYPE = {Research Report},
INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
NUMBER = {MPI-I-92-118},
MONTH = {May},
YEAR = {1992},
ISSN = {0946-011X},
}