A Randomized Rounding Approach to the Traveling Salesman Problem

@article{Gharan2011ARR,
  title={A Randomized Rounding Approach to the Traveling Salesman Problem},
  author={Shayan Oveis Gharan and Amin Saberi and Mohit Singh},
  journal={2011 IEEE 52nd Annual Symposium on Foundations of Computer Science},
  year={2011},
  pages={550-559}
}
  • S. Gharan, A. Saberi, Mohit Singh
  • Published 22 October 2011
  • Computer Science, Mathematics
  • 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science
For some positive constant \eps_0, we give a (3/2-\eps_0)-approximation algorithm for the following problem: given a graph G_0=(V,E_0), find the shortest tour that visits every vertex at least once. This is a special case of the metric traveling salesman problem when the underlying metric is defined by shortest path distances in G_0. The result improves on the 3/2-approximation algorithm due to Christofides [C76] for this special case. Similar to Christofides, our algorithm finds a spanning… 

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