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Engineering an Approximation Scheme for Traveling Salesman in Planar Graphs

Authors Amariah Becker, Eli Fox-Epstein, Philip N. Klein, David Meierfrankenfeld



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Amariah Becker
Eli Fox-Epstein
Philip N. Klein
David Meierfrankenfeld

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Amariah Becker, Eli Fox-Epstein, Philip N. Klein, and David Meierfrankenfeld. Engineering an Approximation Scheme for Traveling Salesman in Planar Graphs. In 16th International Symposium on Experimental Algorithms (SEA 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 75, pp. 8:1-8:17, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)
https://doi.org/10.4230/LIPIcs.SEA.2017.8

Abstract

We present an implementation of a linear-time approximation scheme for the traveling salesman problem on planar graphs with edge weights. We observe that the theoretical algorithm involves constants that are too large for practical use. Our implementation, which is not subject to the theoretical algorithm's guarantee, can quickly find good tours in very large planar graphs.
Keywords
  • Traveling Salesman
  • Approximation Schemes
  • Planar Graph Algorithms
  • Algorithm Engineering

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