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The Cartographer
Improved Approximations for Cubic and Cubic Bipartite TSP
July 25, 2015 Β· Declared Dead Β· π Mathematical programming
"No code URL or promise found in abstract"
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Authors
Anke van Zuylen
arXiv ID
1507.07121
Category
cs.DS: Data Structures & Algorithms
Citations
11
Venue
Mathematical programming
Last Checked
4 months ago
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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