Maximum TSP (The Traveling-Salesman Problem)

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Revision as of 11:22, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Maximum TSP (The Traveling-Salesman Problem)}} == Description == In Maximum TSP, you are given a set $C$ of cities and distances between each distinct pair of cities. The goal is to find an ordering or tour of the cities, such that you visit each city exactly once and return to the origin city, that maximizes the length of the tour. == Related Problems == Related: Minimum TSP, Approximate TSP == Parameters == <pre>V: number of cities (nodes...")
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Description

In Maximum TSP, you are given a set $C$ of cities and distances between each distinct pair of cities. The goal is to find an ordering or tour of the cities, such that you visit each city exactly once and return to the origin city, that maximizes the length of the tour.

Related Problems

Related: Minimum TSP, Approximate TSP

Parameters

V: number of cities (nodes)
E: number of roads (edges)

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Johnson; D. S.; McGeoch; L. A. 1997 $O({2}^{(p(n)$}) Deterministic Time
Gutina; Gregory; Yeob; Anders; Zverovich; Alexey 2002 - Deterministic Time

References/Citation

https://dl.acm.org/doi/pdf/10.1145/876638.876640