Point on 3 Lines: Difference between revisions
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(Created page with "{{DISPLAYTITLE:Point on 3 Lines (Geometric Incidence Problems)}} == Description == Given a set of lines in the plane, is there a point that lies on at least three of them? == Related Problems == Related: 3 Points on Line == Parameters == <pre>n: number of lines</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="100%"...") |
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== Parameters == | == Parameters == | ||
$n$: number of lines | |||
== Table of Algorithms == | == Table of Algorithms == | ||
Latest revision as of 08:27, 10 April 2023
Description
Given a set of lines in the plane, is there a point that lies on at least three of them?
Related Problems
Related: 3 Points on Line
Parameters
$n$: number of lines
Table of Algorithms
Currently no algorithms in our database for the given problem.
Reductions TO Problem
| Problem | Implication | Year | Citation | Reduction |
|---|---|---|---|---|
| 3 Points on Line | 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 |
|---|---|---|---|---|
| 3 Points on Line | 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 |