Turnpike Problem: Difference between revisions

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== Time Complexity graph ==  
== Time Complexity Graph ==  


[[File:Turnpike Problem - Time.png|1000px]]
[[File:Turnpike Problem - Time.png|1000px]]


== Space Complexity graph ==  
== Space Complexity Graph ==  


[[File:Turnpike Problem - Space.png|1000px]]
[[File:Turnpike Problem - Space.png|1000px]]


== Pareto Decades graph ==  
== Pareto Frontier Improvements Graph ==  


[[File:Turnpike Problem - Pareto Frontier.png|1000px]]
[[File:Turnpike Problem - Pareto Frontier.png|1000px]]

Revision as of 14:05, 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 Frontier Improvements Graph

Turnpike Problem - Pareto Frontier.png

References/Citation

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