Volume 49, Number 4, October-December 2015
|651 - 668
|27 March 2015
Approximation hardness of graphic TSP on cubic graphs
1 Deptartement of Computer Science and the Hausdorff Center for
Mathematics, University of Bonn. Supported in part by DFG Grants and the Hausdorff Grant
2 Deptartement of Computer Science, University of Bonn. Work supported by Hausdorff Doctoral Fellowship
Accepted: 8 December 2014
We prove explicit approximation hardness results for the Graphic TSP on cubic and subcubic graphs as well as the new inapproximability bounds for the corresponding instances of the (1,2)-TSP. The result on the Graphic TSP for cubic graphs is the first known inapproximability result on that problem. The proof technique in this paper uses new modular constructions of simulating gadgets for the restricted cubic and subcubic instances. The modular constructions used in the paper could be also of independent interest.
Mathematics Subject Classification: 68W25 / 68W40
Key words: Traveling Salesman Problem / Approximability
© EDP Sciences, ROADEF, SMAI 2015
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