Separator2: Difference between revisions

From Algorithm Wiki
Jump to navigation Jump to search
(Created page with "{{DISPLAYTITLE:Separator2 (Geometric Separator Problems)}} == Description == Given a set $S$ of $n$ closed, non-intersecting (nor touching), axis-parallel line segments, is there a separator? == Related Problems == Related: Separator1 == Parameters == <pre>n: number of line segments</pre> == Table of Algorithms == Currently no algorithms in our database for the given problem. == Reductions FROM Problem == {| class="wikitable sortable" style="text-align...")
 
No edit summary
Line 10: Line 10:
== Parameters ==  
== Parameters ==  


<pre>n: number of line segments</pre>
n: number of line segments


== Table of Algorithms ==  
== Table of Algorithms ==  

Revision as of 12:04, 15 February 2023

Description

Given a set $S$ of $n$ closed, non-intersecting (nor touching), axis-parallel line segments, is there a separator?

Related Problems

Related: Separator1

Parameters

n: number of line segments

Table of Algorithms

Currently no algorithms in our database for the given problem.

Reductions FROM Problem

Problem Implication Year Citation Reduction
GeomBase 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