Point Covering: Difference between revisions
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(Created page with "{{DISPLAYTITLE:Point Covering (Geometric Covering Problems)}} == Description == Given a set of $n$ halfplanes and a number $k$, determine whether there is a point $p$ that is covered by at least $k$ of the halfplanes. == Related Problems == Related: Strips Cover Box, Triangles Cover Triangle, Hole in Union, Triangle Measure, Max-Weight Rectangle, Weighted Depth == Parameters == <pre>n: number of halfplanes</pre> == Table of Algorithms ==...") |
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== Parameters == | == Parameters == | ||
n: number of halfplanes | |||
== Table of Algorithms == | == Table of Algorithms == | ||
Revision as of 12:04, 15 February 2023
Description
Given a set of $n$ halfplanes and a number $k$, determine whether there is a point $p$ that is covered by at least $k$ of the halfplanes.
Related Problems
Related: Strips Cover Box, Triangles Cover Triangle, Hole in Union, Triangle Measure, Max-Weight Rectangle, Weighted Depth
Parameters
n: number of halfplanes
Table of Algorithms
Currently no algorithms in our database for the given problem.
Reductions FROM Problem
| Problem | Implication | Year | Citation | Reduction |
|---|---|---|---|---|
| Strips Cover Box | if: to-time $N^{2-\epsilon}$ for some $\epsilon > {0}$ then: from-time: $N^{2-\epsilon'}$ for some $\epsilon' > {0}$ |
1995 | https://doi-org.ezproxy.canberra.edu.au/10.1016/0925-7721(95)00022-2 | link |