3 Points on Line (Geometric Incidence Problems)
Revision as of 10:28, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:3 Points on Line (Geometric Incidence Problems)}} == Description == Given a set of points in the plane, is there a line that contains at least three of the points? == Related Problems == Related: Point on 3 Lines == Parameters == <pre>n: number of points</pre> == Table of Algorithms == Currently no algorithms in our database for the given problem. == Reductions TO Problem == {| class="wikitable sortable" style="text-align:center;" width=...")
Description
Given a set of points in the plane, is there a line that contains at least three of the points?
Related Problems
Related: Point on 3 Lines
Parameters
n: number of points
Table of Algorithms
Currently no algorithms in our database for the given problem.
Reductions TO Problem
| Problem | Implication | Year | Citation | Reduction |
|---|---|---|---|---|
| Point on 3 Lines | 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 |
|---|---|---|---|---|
| 3SUM | 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 |
| Point on 3 Lines | 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 |