4/3-Approximation of Graphic TSP

May 09, 2023 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Ali Γ‡ivril arXiv ID 2305.05411 Category cs.DS: Data Structures & Algorithms Citations 0 Venue arXiv.org Last Checked 5 months ago
Abstract
We describe a $\frac{4}{3}$-approximation algorithm for the traveling salesman problem in which the distances between points are induced by graph-theoretical distances in an unweighted graph. The algorithm is based on finding a minimum cost perfect matching on the odd degree vertices of a carefully computed 2-edge-connected spanning subgraph.
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