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ICALP
2005
Springer

Approximation Algorithms for Euclidean Group TSP

9 years 4 months ago
Approximation Algorithms for Euclidean Group TSP
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 the best results known, in this case, for both the group Steiner tree problem and the TSP with Neighborhoods problem. We also give the first O(1)-approximation algorithm for the problem with intersecting regions.
Khaled M. Elbassioni, Aleksei V. Fishkin, Nabil H.
Added 27 Jun 2010
Updated 27 Jun 2010
Type Conference
Year 2005
Where ICALP
Authors Khaled M. Elbassioni, Aleksei V. Fishkin, Nabil H. Mustafa, René Sitters
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