Maximum TSP (The Traveling-Salesman Problem)
Jump to navigation
Jump to search
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 |