Triangle Measure: Difference between revisions

From Algorithm Wiki
Jump to navigation Jump to search
(Created page with "{{DISPLAYTITLE:Triangle Measure (Geometric Covering Problems)}} == Description == Given a set of triangles in the plane, compute the measure of their union. == Related Problems == Related: Strips Cover Box, Triangles Cover Triangle, Hole in Union, Point Covering, Max-Weight Rectangle, Weighted Depth == Parameters == <pre>n: number of triangles</pre> == Table of Algorithms == Currently no algorithms in our database for the given problem....")
 
No edit summary
 
(One intermediate revision by the same user not shown)
Line 10: Line 10:
== Parameters ==  
== Parameters ==  


<pre>n: number of triangles</pre>
$n$: number of triangles


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

Latest revision as of 08:27, 10 April 2023

Description

Given a set of triangles in the plane, compute the measure of their union.

Related Problems

Related: Strips Cover Box, Triangles Cover Triangle, Hole in Union, Point Covering, Max-Weight Rectangle, Weighted Depth

Parameters

$n$: number of triangles

Table of Algorithms

Currently no algorithms in our database for the given problem.

Reductions FROM Problem

Problem Implication Year Citation Reduction
Triangles Cover Triangle 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