Maximum TSP: Difference between revisions
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(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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== Parameters == | == Parameters == | ||
$V$: number of cities (nodes) | |||
E: number of roads (edges) | |||
$E$: number of roads (edges) | |||
== Table of Algorithms == | == Table of Algorithms == | ||
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| [[Barvinok (Geometric Maximum TSP The Traveling-Salesman Problem)|Barvinok]] || 2003 || $O(V^{2} \log\log E)$ || $O(V)$? || ? || Deterministic || [https://dl.acm.org/doi/10.1145/876638.876640 Time] | |||
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| [[Johnson; D. S.; McGeoch; L. A. ( The Traveling-Salesman Problem)|Johnson; D. S.; McGeoch; L. A.]] || 1997 || $O({2}^{(p(n)$}) || || || Deterministic || [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.92.1635&rep=rep1&type=pdf Time] | | [[Johnson; D. S.; McGeoch; L. A. ( The Traveling-Salesman Problem)|Johnson; D. S.; McGeoch; L. A.]] || 1997 || $O({2}^{(p(n)$}) || || || Deterministic || [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.92.1635&rep=rep1&type=pdf Time] | ||
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Latest revision as of 08:22, 10 April 2023
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 |
|---|---|---|---|---|---|---|
| Barvinok | 2003 | $O(V^{2} \log\log E)$ | $O(V)$? | ? | Deterministic | Time |
| Johnson; D. S.; McGeoch; L. A. | 1997 | $O({2}^{(p(n)$}) | Deterministic | Time | ||
| Gutina; Gregory; Yeob; Anders; Zverovich; Alexey | 2002 | - | Deterministic | Time |