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On Approximation Lower Bounds for TSP with Bounded Metrics

2012/01/27 by Marek Karpiński, Karpinski, Marek, Richard Schmied +1 · 1 citation
Computer Science · Engineering · #Complexity and Algorithms in Graphs #Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #Optimization and Search Problems #Vehicle Routing Optimization Methods

paper · pdf · doi:10.48550/arxiv.1201.5821

openalex publication_date 2012/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a new method for proving explicit approximation lower bounds for TSP problems with bounded metrics improving on the best up to now known bounds. They almost match the best known bounds for unbounded metric TSP problems. In particular, we prove the best known lower bound for TSP with bounded metrics for the metric bound equal to 4.

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