3 Points on Line

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.ezproxy.canberra.edu.au/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.ezproxy.canberra.edu.au/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.ezproxy.canberra.edu.au/10.1016/0925-7721(95)00022-2	link