Point Covering (Geometric Covering Problems)
Revision as of 11:29, 15 February 2023 by Admin (talk | contribs) (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 ==...")
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 |