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- W4296294907 abstract "A bottleneck plane perfect matching of a set of $n$ points in $mathbb{R}^2$ is defined to be a perfect non-crossing matching that minimizes the length of the longest edge; the length of this longest edge is known as {em bottleneck}. The problem of computing a bottleneck plane perfect matching has been proved to be NP-hard. We present an algorithm that computes a bottleneck plane matching of size at least $frac{n}{5}$ in $O(n log^2 n)$-time. Then we extend our idea toward an $O(nlog n)$-time approximation algorithm which computes a plane matching of size at least $frac{2n}{5}$ whose edges have length at most $sqrt{2}+sqrt{3}$ times the bottleneck." @default.
- W4296294907 created "2022-09-19" @default.
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- W4296294907 date "2013-11-20" @default.
- W4296294907 modified "2023-10-16" @default.
- W4296294907 title "Approximating the Bottleneck Plane Perfect Matching of a Point Set" @default.
- W4296294907 doi "https://doi.org/10.48550/arxiv.1311.5197" @default.
- W4296294907 hasPublicationYear "2013" @default.
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