Point on 3 Lines (Geometric Incidence Problems)

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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