Turnpike Problem (Turnpike Problem)

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Revision as of 11:26, 15 February 2023 by Admin (talk | contribs) (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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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