On Approximating the TSP with Intersecting Neighborhoods

  title={On Approximating the TSP with Intersecting Neighborhoods},
  author={Khaled M. Elbassioni and Aleksei V. Fishkin and Ren{\'e} Sitters},
In the TSP with neighborhoods problem we are given a set of n regions (neighborhoods) in the plane, and seek to find a minimum length TSP tour that goes through all the regions. We give two approximation algorithms for the case when the regions are allowed to intersect: We give the first O(1)-factor approximation algorithm for intersecting convex fat objects of comparable diameters where we are allowed to hit each object only at a finite set of specified points. The proof follows from two… CONTINUE READING
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