Turnpike Problem: Difference between revisions

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(Created page with "{{DISPLAYTITLE:Turnpike Problem (Turnpike Problem)}} == Description == Given $n$ points and $\binom{n}{2}$ distances, find each distance's corresponding pair of points. == Parameters == <pre>n: number of points</pre> == Table of Algorithms == {| class="wikitable sortable" style="text-align:center;" width="100%" ! Name !! Year !! Time !! Space !! Approximation Factor !! Model !! Reference |- | Outside-In algorithm (Turnpike Problem Turnpike Problem)|Outside-...")
 
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== Parameters ==  
== Parameters ==  


<pre>n: number of points</pre>
n: number of points


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

Revision as of 12:03, 15 February 2023

Description

Given $n$ points and $\binom{n}{2}$ distances, find each distance's corresponding pair of points.

Parameters

n: number of points

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Outside-In algorithm 1991 $O({2}^n nlogn)$ $O(n)$ Exact Deterministic

Time Complexity graph

Turnpike Problem - Time.png

Space Complexity graph

Turnpike Problem - Space.png

Pareto Decades graph

Turnpike Problem - Pareto Frontier.png

References/Citation

http://hariharan-ramesh.com/ppts/turnpike.pdf