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ESA
2003
Springer
189views Algorithms» more  ESA 2003»
13 years 10 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
STOC
1998
ACM
139views Algorithms» more  STOC 1998»
13 years 9 months ago
Approximation Schemes for Euclidean k-Medians and Related Problems
In the k-median problem we are given a set S of n points in a metric space and a positive integer k. We desire to locate k medians in space, such that the sum of the distances fro...
Sanjeev Arora, Prabhakar Raghavan, Satish Rao
TSP
2008
69views more  TSP 2008»
13 years 4 months ago
Stochastic Stability Analysis for the Constant-Modulus Algorithm
We derive an easy-to-compute approximate bound for the range of step-sizes for which the constant-modulus algorithm (CMA) will remain stable if initialized close to a minimum of t...
Victor H. Nascimento, M. T. M. Silva
ESA
2006
Springer
126views Algorithms» more  ESA 2006»
13 years 8 months ago
Cooperative TSP
In this paper we introduce and study cooperative variants of the Traveling Salesperson Problem. In these problems a salesperson has to make deliveries to customers who are willing ...
Amitai Armon, Adi Avidor, Oded Schwartz
STOC
2006
ACM
186views Algorithms» more  STOC 2006»
14 years 5 months ago
A subset spanner for Planar graphs, : with application to subset TSP
Let > 0 be a constant. For any edge-weighted planar graph G and a subset S of nodes of G, there is a subgraph H of G of weight a constant times that of the minimum Steiner tree...
Philip N. Klein