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» On Approximating Multi-Criteria TSP
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ESA
2003
Springer
189views Algorithms» more  ESA 2003»
15 years 2 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
FOCS
2003
IEEE
15 years 2 months ago
Approximation Algorithms for Orienteering and Discounted-Reward TSP
In this paper, we give the rst constant-factor approximationalgorithmfor the rooted Orienteering problem, as well as a new problem that we call the Discounted-Reward TSP, motivate...
Avrim Blum, Shuchi Chawla, David R. Karger, Terran...
FOCS
2003
IEEE
15 years 2 months ago
Approximation Algorithms for Asymmetric TSP by Decomposing Directed Regular Multigraphs
A directed multigraph is said to be d-regular if the indegree and outdegree of every vertex is exactly d. By Hall’s theorem one can represent such a multigraph as a combination ...
Haim Kaplan, Moshe Lewenstein, Nira Shafrir, Maxim...
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SODA
1998
ACM
128views Algorithms» more  SODA 1998»
14 years 11 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...
STOC
2005
ACM
89views Algorithms» more  STOC 2005»
15 years 9 months ago
Universal approximations for TSP, Steiner tree, and set cover
Lujun Jia, Guolong Lin, Guevara Noubir, Rajmohan R...