@inproceedings{62eeee9fc4674a1dbdf97d2548c9ad92,

title = "On approximating the TSP with intersecting neighborhoods",

abstract = "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 packing lemmas that are of independent interest. For the problem in its most general form (but without the specified points restriction) we give a simple O(logn)-approximation algorithm.",

author = "Khaled Elbassioni and Fishkin, {Aleksei V.} and Ren{\'e} Sitters",

year = "2006",

doi = "10.1007/11940128_23",

language = "British English",

isbn = "3540496947",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

pages = "213--222",

booktitle = "Algorithms and Computation - 17th International Symposium, ISAAC 2006, Proceedings",

note = "17th International Symposium on Algorithms and Computation, ISAAC 2006 ; Conference date: 18-12-2006 Through 20-12-2006",

}