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A constant-factor approximation algorithm for TSP with pairwise-disjoint connected neighborhoods in the plane

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Abstract

In the Euclidean TSP with neighborhoods (TSPN) problem we seek a shortest tour that visits a given set of n neighborhoods. The Euclidean TSPN generalizes the standard TSP on points. We present the first constant-factor approximation algorithm for planar TSPN with pairwise-disjoint connected neighborhoods of any size or shape. Prior approximation bounds were O(log n), except in special cases.

Original languageEnglish
Title of host publicationProceedings of the 26th Annual Symposium on Computational Geometry, SCG'10
Pages183-191
Number of pages9
DOIs
StatePublished - 2010
Event26th Annual Symposium on Computational Geometry, SoCG 2010 - Snowbird, UT, United States
Duration: Jun 13 2010Jun 16 2010

Publication series

NameProceedings of the Annual Symposium on Computational Geometry

Conference

Conference26th Annual Symposium on Computational Geometry, SoCG 2010
Country/TerritoryUnited States
CitySnowbird, UT
Period06/13/1006/16/10

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