Approximation Algorithms for Euclidean Group TSP

@inproceedings{Elbassioni2005ApproximationAF,
  title={Approximation Algorithms for Euclidean Group TSP},
  author={Khaled M. Elbassioni and Aleksei V. Fishkin and Nabil H. Mustafa and Ren{\'e} Sitters},
  booktitle={ICALP},
  year={2005}
}
In the Euclidean group Traveling Salesman Problem (TSP), we are given a set of points P in the plane and a set of m connected regions, each containing at least one point of P . We want to find a tour of minimum length that visits at least one point in each region. This unifies the TSP with Neighborhoods and the Group Steiner Tree problem. We give a (9.1α + 1)-approximation algorithm for the case when the regions are disjoint α-fat objects with possibly varying size. This considerably improves… CONTINUE READING
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