Turnpike Problem (Turnpike Problem)

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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

Time-Space Tradeoff

Turnpike Problem - Pareto Frontier.png

References/Citation

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