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arXiv · 1507.07121

Improved Approximations for Cubic and Cubic Bipartite TSP

Anke van Zuylen
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Abstract

We show improved approximation guarantees for the traveling salesman problem on cubic graphs, and cubic bipartite graphs. For cubic bipartite graphs with n nodes, we improve on recent results of Karp and Ravi (2014) by giving a simple "local improvement" algorithm that finds a tour of length at most 5/4 n - 2. For 2-connected cubic graphs, we show that the techniques of Moemke and Svensson (2011) can be combined with the techniques of Correa, Larre and Soto (2012), to obtain a tour of length at most (4/3-1/8754)n.

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Anke van Zuylen. 2015-07-25. Improved Approximations for Cubic and Cubic Bipartite TSP. https://arxiv.org/abs/1507.07121

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