Hole in Union (Geometric Covering Problems)
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Description
Given a set of triangles in the plane, does their union contain a hole?
Related Problems
Related: Strips Cover Box, Triangles Cover Triangle, Triangle Measure, Point Covering, Max-Weight Rectangle, Weighted Depth
Parameters
n: number of triangles
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/10.1016/0925-7721(95)00022-2 | link |
Reductions FROM 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/10.1016/0925-7721(95)00022-2 | link |