Strips Cover Box (Geometric Covering Problems)
Revision as of 10:29, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Strips Cover Box (Geometric Covering Problems)}} == Description == Given a set of strips in the plane, does their union contain a given axis-parallel rectangle? == Related Problems == Related: Triangles Cover Triangle, Hole in Union, Triangle Measure, Point Covering, Max-Weight Rectangle, Weighted Depth == Parameters == <pre>n: number of strips</pre> == Table of Algorithms == Currently no algorithms in our database for th...")
Description
Given a set of strips in the plane, does their union contain a given axis-parallel rectangle?
Related Problems
Related: Triangles Cover Triangle, Hole in Union, Triangle Measure, Point Covering, Max-Weight Rectangle, Weighted Depth
Parameters
n: number of strips
Table of Algorithms
Currently no algorithms in our database for the given problem.
Reductions TO Problem
Problem | Implication | Year | Citation | Reduction |
---|---|---|---|---|
Triangles Cover Triangle | 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 |
Point Covering | 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 |
Reductions FROM Problem
Problem | Implication | Year | Citation | Reduction |
---|---|---|---|---|
GeomBase | 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 |