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On two geometric problems related to the travelling salesman problem

✍ Scribed by Christos H Papadimitriou; Umesh V Vazirani


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
739 KB
Volume
5
Category
Article
ISSN
0196-6774

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Differential approximation results for t
✍ JΓ©rΓ΄me Monnot πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 90 KB

This paper deals with the problem of constructing a Hamiltonian cycle of optimal weight, called TSP. We show that TSP is 2/3-differential approximable and cannot be differential approximable greater than 649/650. Next, we demonstrate that, when dealing with edge-costs 1 and 2, the same algorithm ide