Maximum ATSP with Weights Zero and One via Half-Edges

作者: Katarzyna Paluch

DOI: 10.1007/978-3-319-28684-6_3

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摘要: We present a fast combinatorial 3 / 4-approximation algorithm for the maximum asymmetric TSP with weights zero and one. The approximation factor of this matches currently best one given by Blaser in 2004 based on linear programming. Our first computes size matching weight cycle cover without certain cycles length two but possibly half-edges - half-edge edge e is informally speaking half that contains endpoints e. Then from computed it extracts set paths, whose large enough to be able construct traveling salesman tour claimed guarantee.

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